GEOMETRY 50POINTS

What is the angle of elevation to the kite? TYSM​

GEOMETRY 50POINTSWhat Is The Angle Of Elevation To The Kite? TYSM

Answers

Answer 1

Answer:

10.4°

Step-by-step explanation:

the angle of elevation is the angle from the horizontal , upward from one point on the horizontal to another point, not on the horizontal

in this case the angle of elevation is represented by ∠ A

using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{36}{200}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{36}{200}[/tex] ) ≈ 10.4° ( to the nearest tenth )

the angle of elevation to the kite is approximately 10.4°


Related Questions

PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=

Answers

(g•f)(x) = (4x - 4) • (5x)
= 20x^2 - 16

(g - f)(x) = (4x - 4) - (5x)
= (-1x) - 4
= -x -4

(g + f)(2) = (4(2) - 4) + (5(2))
= 4 + 10
= 14

Q.14 In the figure given below, let the lines 1, and 1, be parallel and t is transversal. Find
the value of x.

Answers

Answer:

The consecutive interior angles are supplementary, so we have:

3x + 20 + 2x = 180

5x + 20 = 180

5x = 160, so x = 32

it is my first time taking my baby to the cinemas in Junes 2023, and the cinemas have sales because there are tons of kids' movies to be seen. For adults the ticket costs 70$ and for children it costs 30$, which tickets sell like 1000$ a day leading to 31000 a month. Calculate the number of tickets that were sold for adults and children in a day. A+C=1000 70+30=31000.
A+C=1000
70+30=31000
if we wanted to extend this discussion beypnd what has been shared so far, what additional question could we ask?​

Answers

Step-by-step explanation:

If we wanted to extend the discussion beyond what has been shared so far, an additional question we could ask is:

"What is the ratio of adult tickets to children's tickets sold in a day?"

This question would provide insight into the distribution of ticket sales between adults and children and help us understand the demand for different movie genres or screenings among the audience.

A village P is 12 km from village Q. It takes 3 hours 20 minutes to travel from Q to P and back to Q by a boat. If the boat travels at a speed of 6 km/h from P to Q and (6 + x) km/h back to P, find the value of x.​

Answers

Answer:

Hope this helps and have a nice day

Step-by-step explanation:

To find the value of x, we can use the formula:

Time = Distance / Speed

Let's calculate the time taken to travel from Q to P and back to Q.

From Q to P:

Distance = 12 km

Speed = 6 km/h

Time taken from Q to P = Distance / Speed = 12 km / 6 km/h = 2 hours

From P to Q:

Distance = 12 km

Speed = (6 + x) km/h

Time taken from P to Q = Distance / Speed = 12 km / (6 + x) km/h

Given that the total time taken for the round trip is 3 hours 20 minutes, we can convert it to hours:

Total time = 3 hours + (20 minutes / 60) hours = 3 + (1/3) hours = 10/3 hours

According to the problem, the total time is the sum of the time from Q to P and from P to Q:

Total time = Time taken from Q to P + Time taken from P to Q

Substituting the values:

10/3 hours = 2 hours + 12 km / (6 + x) km/h

Simplifying the equation:

10/3 = 2 + 12 / (6 + x)

Multiply both sides by (6 + x) to eliminate the denominator:

10(6 + x) = 2(6 + x) + 12

60 + 10x = 12 + 2x + 12

Collecting like terms:

8x = 24

Dividing both sides by 8:

x = 3

Therefore, the value of x is 3.

Answer:

x = 3

Step-by-step explanation:

speed  = distance / time

time = distance / speed

Total time from P to Q to P:

T = 3h 20min

P to Q :

s = 6 km/h

d = 12 km

t = d/s

= 12/6

t = 2 h

time remaining t₁ = T - t

= 3h 20min - 2h

=  1 hr 20 min

= 60 + 20 min

= 80 min

t₁ = 80/60 hr

Q to P:

d₁ = 12km

t₁ = 80/60 hr

s₁ = d/t₁

[tex]= \frac{12}{\frac{80}{60} }\\ \\= \frac{12*60}{80}[/tex]

= 9

s₁ = 9 km/h

From question, s₁ = (6 + x)km/h

⇒ 6 + x = 9

⇒ x = 3

Cecilia se compra un libro con la cuarta parte de su dinero y un cómic con la mitad del dinero que le quedaba. Al salir de la librería se da cuenta que le sobraron $8. ¿Cuál es la ecuación para conocer la cantidad de dinero que tenía en un inicio?

Answers

The equation to determine the initial amount of money Cecilia had is x = 0.

Let's denote the initial amount of money Cecilia had as "x" dollars.

According to the given information, Cecilia spent one-fourth (1/4) of her money on a book, which is (1/4)x dollars. After buying the book, she had (x - (1/4)x) dollars left.

Next, Cecilia spent half (1/2) of the remaining money on a comic, which is ((1/2)x - 8) dollars. After buying the comic, she had ((x - (1/4)x) - ((1/2)x - 8)) dollars remaining.

Since she had $8 left, we can set up the equation:

((x - (1/4)x) - ((1/2)x - 8)) = 8

To simplify the equation, we can first combine like terms:

(x - (1/4)x - (1/2)x + 8) = 8

Now, let's solve the equation step by step:

(x - (1/4)x - (1/2)x + 8) = 8

Multiplying the fractions by their common denominator, which is 4, we get:

(4x - x - 2x + 32) = 32

Simplifying further:

(x + 32) = 32

Subtracting 32 from both sides:

x = 0

Therefore, the equation to determine the initial amount of money Cecilia had is x = 0.

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Identify an equation in point-slope form for the line parallel to y = 3/4x - 4 that passes through (-1, 7).

Answers

Answer:

A) [tex]y-7=\frac{3}{4}(x+1)[/tex]

Step-by-step explanation:

[tex]y-y_1=m(x-x_1)\\y-7=\frac{3}{4}(x-(-1))\\y-7=\frac{3}{4}(x+1)[/tex]

Parallel lines must have the same slope, and then plugging in [tex](x_1,y_1)=(-1,7)[/tex], we easily get our equation.

Answer:

the equation in point-slope form for the line parallel to y = (3/4)x - 4 that passes through (-1, 7) is 3x - 4y = -31.

Step-by-step explanation:

To find the equation of a line parallel to another line, we need to use the same slope. The given line has a slope of 3/4.

Using the point-slope form of a line, which is given by:

y - y₁ = m(x - x₁)

where (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope of the line, we can substitute the values (-1, 7) for (x₁, y₁) and 3/4 for m:

y - 7 = (3/4)(x - (-1))

Simplifying further:

y - 7 = (3/4)(x + 1)

Multiplying through by 4 to eliminate the fraction:

4(y - 7) = 3(x + 1)

Expanding:

4y - 28 = 3x + 3

Rearranging the equation to put it in standard form:

3x - 4y = -31

So, the equation in point-slope form for the line parallel to y = (3/4)x - 4 that passes through (-1, 7) is 3x - 4y = -31.

10. A triangular prism is shown.
a. Find the area of the base.
b. Find the volume of the prism.
d
5 cm
10 cm
3 cm
8 cm
5 cm

Answers

Answer:

Step-by-step explanation:

D
Drag the expressions to the correct locations on the image. Not all expressions will be used.
Consider this quotient.
(2³ - 8z + 6) ÷ (2² - 2x + 1)
Use long division to rewrite the quotient in an equivalent form as q(z) +
2³ - 8z + 6
2² - 2x + 1
where g(z) is the quotient, r(2) is the remainder, and b(z) is the divisor.
-5z + 4
Reset
H
Next
-11x + 12
x + 2

Answers

The solution to the polynomial division in quotient and remainder form is: (x + 2) + (-5x + 4)/(x² - 2x + 1)

How to carry out Long Division of Polynomials?

The polynomials we want to divide are:

x³ - 8x + 6 by x² - 2x + 1 and as such we can write it as:

                x + 2

x² - 2x + 1|x³ - 8x + 6

             -  x³ - 2x² + x

                     2x² - 9x + 6

                  -  2x² - 4x + 2

                            -5x + 4

Thus, the solution expressed in quotient and remainder form is:

(x + 2) + (-5x + 4)/(x² - 2x + 1)

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Which table shows positive correlation? A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 15, 12, 14, 11, 18. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 11, 13, 15, 17, 19. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 18, 16, 14, 12, 11.

Answers

The second table with x and y values (1, 2, 3, 4, 5) and (11, 13, 15, 17, 19) shows a positive correlation.

To determine which table shows a positive correlation, we need to examine the relationship between the values in the x and y columns. Positive correlation means that as the values in one column increase, the values in the other column also tend to increase.

Let's analyze each table:

Table 1:

x: 1, 2, 3, 4, 5

y: 15, 12, 14, 11, 18

In this table, as the values in the x column increase, the values in the y column are not consistently increasing or decreasing. For example, when x increases from 1 to 2, y decreases from 15 to 12. Therefore, this table does not show a positive correlation.

Table 2:

x: 1, 2, 3, 4, 5

y: 11, 13, 15, 17, 19

In this table, as the values in the x column increase, the values in the y column also consistently increase. For example, when x increases from 1 to 2, y increases from 11 to 13. This pattern continues for all the rows. Therefore, this table shows a positive correlation.

Table 3:

x: 1, 2, 3, 4, 5

y: 18, 16, 14, 12, 11

In this table, as the values in the x column increase, the values in the y column consistently decrease. For example, when x increases from 1 to 2, y decreases from 18 to 16. This pattern continues for all the rows. Therefore, this table does not show a positive correlation.

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A comet follows a hyperbolic path in which the sun is located at one of its foci. If the equation... 100 pts

Answers

Answer:

164 million km

Step-by-step explanation:

If the hyperbola models the comet's path, and the sun is located at one of its foci, the closest distance the comet reaches to the sun is the distance between a vertex and its corresponding focus.

Therefore, we need to find the vertices and foci of the given hyperbola.

Given equation:

[tex]\dfrac{x^2}{60516}-\dfrac{y^2}{107584}=1[/tex]

As the x²-term of the given equation is positive, the hyperbola is horizontal (opening left and right).

The general formula for a horizontal hyperbola (opening left and right) is:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Standard equation of a horizontal hyperbola}\\\\$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center.\\ \phantom{ww}$\bullet$ $(h\pm a, k)$ are the vertices.\\\phantom{ww}$\bullet$ $(h\pm c, k)$ are the foci where $c^2=a^2+b^2.$\\\phantom{ww}$\bullet$ $y=\pm \dfrac{b}{a}(x-h)+k$ are the asymptotes.\\\end{minipage}}[/tex]

Comparing the given equation with the standard equation:

h = 0k = ka² = 60516 ⇒ a = 246b² = 107584 ⇒ b = 328

To find the loci, we first need to find the value of c:

[tex]\begin{aligned}c^2&=a^2+b^2\\c^2&=60516 +107584\\c^2&=168100\\c&=410\end{aligned}[/tex]

The formula for the loci is (h±c, k). Therefore:

[tex]\begin{aligned}\textsf{Loci}&=(h \pm c, k)\\&=(0 \pm 410, 0)\\&=(-410,0)\;\;\textsf{and}\;\;(410,0)\end{aligned}[/tex]

The formula for the vertices is (h±a, k). Therefore:

[tex]\begin{aligned}\textsf{Vertices}&=(h \pm a, k)\\&=(0 \pm 246, 0)\\&=(-246,0)\;\;\textsf{and}\;\;(246,0)\end{aligned}[/tex]

From the given diagram, the vertex and focus have positive x-values. Therefore, the vertex is (246, 0) and the focus is (410, 0).

We need to find the distance between (246, 0) and (410, 0). To do this, simply subtract the x-value of the vertex from the x-value of the focus:

[tex]410-246=164[/tex]

Therefore, the closest distance the comet reaches to the sun is 164 million km.

NEED HELP ASAP
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A
Previous Activity
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Which would prove that AABC~ AXYZ? Select two
options.
OBA-BC-A
=
YX
YZ XZ
OBA = BC₁ YX
YZ
O
AC
XZ
=
=
BA
XX. YX
AC
BC
BA = AE = 8C
YX
YZ
XZ
OBC=BA ₁ <= XY
ZX
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Answers

The two options that would prove that ΔABC ~ ΔXYZ include the following:

A. BA/YX = BC/YZ = AC/XZ

C. AC/XZ = BA/YX, ∠A≅∠X

What are the properties of similar triangles?

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent angles and similar triangles:

BA/YX = BC/YZ = AC/XZ (ΔABC ≅ ΔXYZ)

Based on the side, angle, side (SAS) similarity theorem, we can logically deduce the following congruent angles and similar sides:

AC/XZ = BA/YX, ∠A≅∠X

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Solve the inequality.

x
_ -3 >2
4

Answers

The solution to the inequality[tex](x/4) - 3 > 2 is x > 20.[/tex]

To solve the inequality [tex](x/4) - 3 > 2,[/tex]we'll follow these steps:

Step 1: Eliminate the fraction by multiplying both sides of the inequality by the denominator, which is 4 in this case. This step allows us to get rid of the fraction and simplify the inequality.

[tex](x/4) - 3 > 2[/tex]

Multiply both sides by 4:

[tex]4 * [(x/4) - 3] > 4 * 2[/tex]

This simplifies to:

x - 12 > 8

Step 2: Isolate the variable on one side of the inequality by adding 12 to both sides:

x - 12 + 12 > 8 + 12

This simplifies to:

x > 20

So, the solution to the inequality is x > 20. This means that any value of x greater than 20 will satisfy the inequality.

To represent this solution graphically, we can plot the number line and shade the region to the right of 20, indicating that any value greater than 20 is a valid solution.

---------------------------------

   -∞     20      +∞

       --------------------------

               ●=================

---------------------------------

In the number line above, the shaded region represents the solution x > 20. Any value to the right of 20, including 20 itself, will satisfy the original inequality.

In summary, the solution to the inequality [tex](x/4) - 3 > 2 is x > 20.[/tex]

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Find the area of the triangle below be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

A parabola can be drawn given a focus of... 100 pts

Answers

Answer:

[tex](y+1)^2=8(x+3)[/tex]

Step-by-step explanation:

The focus of a parabola is a fixed point located inside the curve. It is equidistant from the vertex and the directrix.

The directrix is a line that is located outside the curve. As the directrix on the given graph is a vertical line, the parabola is horizontal (sideways). The directrix is located to the left of the focus, which means the parabola opens to the right.

The axis of symmetry is perpendicular to the directrix and passes through the focus. So the axis of symmetry in this case is y = -1.

The vertex is the turning point of the parabola. It is located on the axis of symmetry, and is halfway between the focus and the directrix. Therefore, the y-coordinate of the vertex is y = -1. Given the focus is (-1, -1) and the directrix is x = -5, the vertex is (-3, -1).

The standard equation of a sideways parabola is:

[tex]\boxed{(y-k)^2=4p(x-h)}[/tex]

where:

Vertex = (h, k)Focus = (h+p, k)Directrix:  x = (h - p)Axis of symmetry:  y = k

As the vertex is (-3, -1), then h = -3 and k = -1.

Use the formula for the focus to find the value of p:

[tex]\begin{aligned}(h+p, k)&=(-1,-1)\\(-3+p, -1)&=(-1, -1)\\\implies -3+p&=-1\\p&=2\end{aligned}[/tex]

To write an equation for the parabola based on the given focus and directrix, substitute the values of h, k and p into the standard equation :

[tex](y-(-1))^2=4(2)(x-(-3))[/tex]

[tex](y+1)^2=8(x+3)[/tex]

Therefore, the equation of the parabola is:

[tex]\boxed{(y+1)^2=8(x+3)}[/tex]

The equation of the parabola with focus (-1, -1) and directrix x = -5 is (x + 1)² = 16(y + 1).

What is the equation of the parabola?

The equation of a parabola with a focus at (-1, -1) and a directrix of x = -5 can be written in standard form as:

(x - h)² = 4p(y - k)

Where (h, k) represents the vertex of the parabola and p is the distance between the vertex and the focus (or directrix).

In this case, the x-coordinate of the focus (-1, -1) is h = -1, and the y-coordinate is k = -1. The directrix is a vertical line x = -5, which means the parabola opens to the right.

Step 1: Determine the value of p

The distance between the vertex and the directrix is given by the absolute difference of their x-coordinates. In this case, p = |-5 - (-1)| = |-5 + 1| = 4.

Step 2: Write the equation

Substituting the values into the standard form equation, we have:

(x - h)² = 4p(y - k)

(x - (-1))² = 4(4)(y - (-1))

(x + 1)² = 16(y + 1)

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40 POINTS: PLEASE HELP!! urgent! using half-angle identities questions

Answers

Answer:

try gauth. math! Take a photo of each question and upload the photo to see if it works

pls help i have finals tomorrow and i want to know how to answer this question

Answers

The values in the expression is as follows:

a = 2

b = 0

c = -1

How to solve an expression?

The expression can be solve using the exponential law. Therefore,

g = 2³ × 3 × 7²

h = 2 × 3 × 7³

Therefore, let's solve the following:

g/h = 2ᵃ × 3ᵇ × 7ⁿ

Therefore,

g = 2³ × 3 × 7² = 2 × 2 × 2 × 3 × 7 × 7

h = 2 × 3 × 7 × 7 × 7

Hence,

g / h =  2 × 2 × 2 × 3 × 7 × 7 / 2 × 3 × 7 × 7 × 7

Hence,

g / h = 2 × 2 / 7

g . h = 2² × 3° × 7⁻¹

Hence,

a = 2

b = 0

c = -1

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Find the focus of the parabola defined by the equation 100 points.

Answers

Answer : Focus is (0,3)

To find the focus of the parabola defined by the equation (y - 3)² = -8(x - 2), we can compare it with the standard form of a parabolic equation: (y - k)² = 4a(x - h).

In the given equation, we have:

(y - 3)² = -8(x - 2)

Comparing it with the standard form, we can determine the values of h, k, and a:

h = 2

k = 3

4a = -8

Solving for a, we get:

4a = -8

a = -8/4

a = -2

Therefore, the vertex of the parabola is (h, k) = (2, 3), and the value of 'a' is -2.

The focus of the parabola can be found using the formula:

F = (h + a, k)

Substituting the values, we get:

F = (2 + (-2), 3)

F = (0, 3)

Therefore, the focus of the parabola defined by the equation (y - 3)² = -8(x - 2) is at the point (0, 3).

Answer:

Focus = (0, 3)

Step-by-step explanation:

The focus is a fixed point located inside the curve of the parabola.

To find the focus of the given parabola, we first need to find the vertex (h, k) and the focal length "p".

The standard equation for a sideways parabola is:

[tex]\boxed{(y-k)^2=4p(x-h)}[/tex]

where:

Vertex = (h, k)Focus = (h+p, k)

If p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

Given equation:

[tex](y-3)^2=-8(x-2)[/tex]

Compare the given equation to the standard equation to determine the values of h, k and p:

h = 2k = 34p = -8 ⇒ p = -2

The formula for the focus is (h+p, k).

Substituting the values of h, p and k into the formula, we get:

[tex]\begin{aligned}\textsf{Focus}&=(h+p,k)\\&=(2-2,3)\\&=(0,3)\end{aligned}[/tex]

Therefore, the focus of the parabola is (0, 3).

Verify that the given point is on the curve. Find the lines that are a. tangent and b. normal to the curve at the given point.

Answers

The point (2, 7π / 2) does not belong to the implicit curve 8 · x · y + π · sin y = 55π and tangent and normal lines cannot be determined.

Does a point given belong to an implicit curve?

In this question we find the definition of an implicit curve, in which we must determine if point (2, 7π / 2) belongs to the curve. First, we check that point:

8 · x · y + π · sin y = 55π

8 · 2 · (7π / 2) + π · sin (7π / 2) = 55π

56π + 0.191π = 55π

56.191π = 55π

56.191 = 55 (CRASH!)

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Because f(x) ___ its inverse is a function.

○ is one to one

X is a function

○ Passes the vertical line test​

Answers

The inverse of the function f(x) = 2·x - 4, is the option;

g(x) = (1/2)·x + 2

The completed statement is; Because f(x) is one to one, its inverse is a function

What is the inverse of a function?

The inverse of a function is one that takes the output of a specified function to produce the input of the function.

The inverse of the function f(x) = 2·x - 4, can be found by making x the subject of the function equation as follows;

f(x) = 2·x - 4

f(x) + 4 = 2·x

2·x = f(x) + 4

x = (f(x) + 4)/2 = f(x)/2 + 2

x = f(x)/2 + 2

Substituting f(x) = x and x = g(x) in the above equation, we get;

g(x) = x/2 + 2

The inverse of the function  is therefore, g(x) = (1/2)·x + 2

The function f(x) = 2·x - 4 is a one to one function, and the condition of a one to one function guarantees that the inverse of the function is also a function

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Answer:

A

Step-by-step explanation:

is one to one

what percent of 41.12 is 10.28 ?​

Answers

25%

41.12 divided by 4 = 10.28
10.28 x 4 = 41.12

Let f(x) = 4x² - 2x +11
The slope of the tangent line to the graph of f(x) at the point (3, 41)
Slope =
M=
B=

Answers

Answer:

f(x) = 4x² - 2x + 11

f'(x) = 8x - 2

m = f'(3) = 8(3) - 2 = 24 - 2 = 22

41 = 22(3) + b

41 = 66 + b

b = -25

y = 22x - 25

Brianna wants to purchase a vehicle. She has $15,670 saved for a down payment. Chevrolet has a 33% off sale on their Silverado. The Silverado Brianna wants costs $57,999. If she takes advantage of the sale and applies her down payment, how much will Brianna owe on her new vehicle?

Answers

Brianna will owe $23,249.33 on her new vehicle after applying the down payment and taking advantage of the 33% off sale.

To solve this problem

We need to follow these steps:

Calculate the discount on the Silverado:

Discount = 33% of $57,999

Discount = 0.33 * $57,999

Discount = $19,079.67

Subtract the discount from the original price of the Silverado:

Price after discount = $57,999 - $19,079.67

Price after discount = $38,919.33

Subtract Brianna's down payment from the price after discount:

Amount owed = Price after discount - Down payment

Amount owed = $38,919.33 - $15,670

Amount owed = $23,249.33

So, Brianna will owe $23,249.33 on her new vehicle after applying the down payment and taking advantage of the 33% off sale.

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subtract (9x^2+4x) from ( -4x^2-7)

Answers

Answer: -13x² - 4x - 7

Step-by-step explanation:

    We will subtract (9x² + 4x) from (-4x² - 7).

Given:

  -4x² - 7 - (9x² + 4x)

Distribute the negative:

  -4x² - 7 - 9x² - 4x

Reorder terms by degree:

  -4x² - 9x² - 4x - 7

Combine like terms:

  -13x² - 4x - 7

A cargo truck traveled 261 miles in 4 hours. About what speed was the truck averaging on this trip?
a.
65 mph
c.
55 mph
b.
1044 mph

Answers

Answer:

To find the average speed of the truck, we can divide the total distance travelled by the total time taken.

Average speed = Total distance / Total time

In this case, the truck travelled 261 miles in 4 hours.

Average speed = 261 miles / 4 hours

Average speed = 65.25 mph (rounded to two decimal places)

Therefore, the truck was averaging approximately 65 mph on this trip.

The correct option is (a) 65 mph.

Ki Tae uses 54 meters of fencing to make a 6-sided outdoor dog pen. Two of the sides of the dog pen are each 15 meters long. The remaining 4 sides each have the same length.

Answers

Ki Tae used 54 meters of fencing to construct a 6-sided outdoor dog pen. Two of the sides are each 15 meters long, while the remaining four sides are each 6 meters long.

Let's solve the problem step by step. We know that Ki Tae used a total of 54 meters of fencing to construct a 6-sided outdoor dog pen. Two of the sides have a length of 15 meters each.

Let's denote the length of the remaining four sides as "x."

Since the dog pen has six sides, we can set up an equation based on the total length of the fencing:

15 + 15 + x + x + x + x = 54

Simplifying the equation, we have:

30 + 4x = 54

Subtracting 30 from both sides, we get:

4x = 24

Dividing both sides by 4, we find:

x = 6

Therefore, each of the remaining four sides has a length of 6 meters.

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Yuri’s sister Karina is 12 years old. In the equation below, y represents Yuri’s age in years.

12 = 3 y minus 2

Which statement accurately relates their ages?
Yuri is 3 years younger than twice Karina’s age.
Yuri is 2 years younger than triple Karina’s age
Karina is 3 years younger than twice Yuri’s age.
Karina is 2 years younger than triple Yuri’s age.

Answers

Yuri is 2 years younger than triple Karina’s age

Answer:

yo

Step-by-step explanation:

i think its d

find the surface area of the composite figure 12cm x 2cm x 10cm x 3cm x 6cm x 8cm SA=

Answers

Answer:

If you are in Acellus trust me the answer is 394

Step-by-step explanation:

SA = 2 ( 2 x 12 ) + 2 ( 2 x 10 ) + ( 8 x 6 ) + 2 ( 3 x 8 ) + ( 3 x 6 ) + ( 12 x 16 )

SA = 48 + 40 + 48 + 48 + 18 + 192

SA = 394 square cm.

Find the value of x.

Answers

At least 4 probably

A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %

Answers

Answer: 18.18%

Step-by-step explanation:

First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:

[tex]$$SA = 2lw + 2lh + 2wh$$[/tex]

where [tex]\(l\)[/tex] is the length, [tex]\(l\)[/tex] is the width, and [tex]\(h\)[/tex] is the height. For the original piece of wood, [tex]\(l = 10\) inches[/tex], [tex]\(w = 4\) inches[/tex], and [tex]\(h = 5\) inches[/tex].

After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, [tex]\(l = 5\) inches[/tex], [tex]\(w = 4\) inches[/tex], and [tex]\(h = 5\) inches[/tex]. The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.

The percent increase in the total surface area is given by the formula:

[tex]$$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$[/tex]

Let's calculate these values.

The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.

PLEASE HELP ME

How are conditional probability and independent events related?

Select the correct phrase or notation from each drop-down menu to complete the explanation.


The notation P(A|B) reads the probability of Event
choose... (A occurring given that Event B has occurred) or (B occurring given that Event A had occurred)

. If two events are independent, then the probability of one event occurring
Choose... (affects the probability of the other event occurring) or (Does not affect the probability of the other event occurring)

. Events A and B are independent if
Choose... P(A|B)= P(A), P(B|A)= P(B), P(A|B)= P(B|A)
.

Answers

Conditional probability, denoted as P(A|B), represents the probability of event A occurring given that event B has occurred. If events A and B are independent, P(A|B) = P(A) and P(B|A) = P(B).

The notation P(A|B) reads the probability of Event (A occurring given that Event B has occurred). If two events are independent, then the probability of one event occurring (does not affect the probability of the other event occurring). Events A and B are independent if (P(A|B) = P(A), P(B|A) = P(B), P(A|B) = P(B|A)).

To understand the relationship between conditional probability and independent events, let's consider two events A and B. The conditional probability P(A|B) represents the probability of event A occurring given that event B has already occurred. It measures the likelihood of event A happening under the condition that event B has already taken place.

On the other hand, if two events A and B are independent, it means that the occurrence or non-occurrence of one event has no effect on the probability of the other event happening. In other words, the probability of event A happening is not influenced by the occurrence or non-occurrence of event B, and vice versa.

Mathematically, if events A and B are independent, it implies that P(A|B) = P(A) and P(B|A) = P(B). This means that the probability of event A occurring is the same whether or not event B has occurred, and the probability of event B occurring is the same whether or not event A has occurred.

Therefore, the concepts of conditional probability and independent events are related in the sense that if two events are independent, the conditional probabilities P(A|B) and P(B|A) become equal to the unconditional probabilities P(A) and P(B) respectively.

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