Given that,
A TV is 27 inch diagonally across the screen.
To find,
The dimensions that best describes a 37 inch TV.
Solution,
Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,
[tex]c=\sqrt{a^2+b^2}[/tex]
If dimensions are 15 x 34,
[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]
If dimensions are 16.5 x 32,
[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]
If dimensions are 17 x 28,
[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]
If dimensions are 17 x 32,
[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]
It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).
Please help!! This is super important!!
Answer:
tell me the choices so i can help you............
-12/7z=48 pls help!!
How are the quotients shown below related?
− 30 ÷ 6 and 30 ÷ (− 6)
Part B. Will they have the same answer? Why or why not?
Answer:
the quotient of -30/6 and 30/ -6 are same ie. -5, because if the numerator or denominator is negative the quotient will be negative.
hope it helps!
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9514 1404 393
Answer:
2/3; (x, y) ⇒ (2/3x, 2/3y)1/2; (x, y) ⇒ (1/2x, 1/2y)7/8; (x, y) ⇒ (7/8x, 7/8y)1/4; (x, y) ⇒ (1/4x, 1/4y)Step-by-step explanation:
For dilations about the origin, such as these, the scale factor is always the ratio of any image point coordinate* to the corresponding preimage point coordinate. If the scale factor is k, the transformation can be written as ...
(x, y) ⇒ (kx, ky)
__
S(9,12) ⇒ S'(6, 8) . . . . scale factor is 6/9 = 2/3; relation is (x, y) ⇒ (2/3x, 2/3y)
U(8, 18) ⇒ U'(4, 9) . . . scale factor is 4/8 = 1/2; relation is (x, y) ⇒ (1/2x, 1/2y)
I(0,8) ⇒ I'(0, 7) . . . scale factor is 7/8; relation is (x, y) ⇒ (7/8x, 7/8y)
X(16, 8) ⇒ X'(4, 2) . . . scale factor is 2/8 = 1/4; relation is (x, y) ⇒ (1/4x, 1/4y)
_____
* The origin is the one invariant point in a dilation, so the chosen coordinate cannot be zero.
Simplify the expression:
10h - 4h=
Answer:
6h=
Step-by-step explanation:
You have to combine the terms the way they are supposed to be
Mr. Nguyen bout a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes brought a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?
Complete Question
Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. Ms. Dawes bought 42 ounces of chicken. How much did each chicken leg and each chicken wing weigh?
Answer:
Weight of Chicken leg = x = 8 ounces
Weight of Chicken wing = y = 3 ounces
Step-by-step explanation:
Let us represent
Weight of Chicken leg = x
Weight of Chicken wing = y
Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings.Mr. Nguyen bought 45 ounces of chicken.
3x + 7y = 45 ounces.... Equation 1
Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Ms. Dawes bought 42 ounces of chicken.
3x + 6y = 42 ounces... Equation 2
Combining both Equations together we solve by Elimination method
3x + 7y = 45.... Equation 1
3x + 6y = 42... Equation 2
We eliminate x by subtracting Equation 2 from Equation 1
Hence:
y = 3 ounces
Solving for x
3x + 6y = 42 ounces... Equation 2
3x +6(3) = 42 ounces
3x + 18 = 42 ounces
3x =( 42 - 18) ounces
3x = 24 ounces
x = 24 ounces/3
x = 8 ounces
Hence:
Weight of Chicken leg = x = 8 ounces
Weight of Chicken wing = y = 3 ounces
Answer:
chicken leg- 8 oz
chicken wing- 3 oz
Step-by-step explanation:
simplify root 2 divided by root 5 + root 3 by Rationalising in the denominator
Answer:
root4 by 2
Step-by-step explanation:
multiply the whole no with root5-root3 up and down also
Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)
Answer:
(f - g)(x) = x² - 3x - 70
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² - 2x - 63
g(x) = x + 7
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7Combine like terms (Z): (f - g)(x) = x² - 3x - 70what are the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3
Answer:
(-5/2,5)
I hope it will be useful.
The coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now the given coordinates are,
(-4,10) and (2,-10)
Thus, we have,
x₁ = -4
y₁ = 10
x₂ = 2
y₂ = -10
Given ratio, m₁ : m₂ = 1 : 3
⇒ m₁ = 1; m₂ = 3
Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.
Since the section formula is given as,
So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)
y = (m₁y₁ + m₂y₂) / (m₁ + m₂)
Put the values,
x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4
⇒ x = 1/2
Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4
⇒ y = -5
So, the required coordinates are (1/2, -5)
Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).
To learn more about line segment :
brainly.com/question/12774890
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Simplify fully
16x²y2 over 4xy
Answer:
[tex]4xy[/tex]Step-by-step explanation:
[tex] \frac{16 {x}^{2} {y}^{2} }{4xy} [/tex]
[tex]4 {x}^{2 - 1} {y}^{2 - 1} [/tex]
[tex]4xy[/tex]
The points in the table lie on a line. What is the slope of the line?
Answer:
slope = - [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (4, - 6) ← 2 ordered pairs from the table
m = [tex]\frac{-6-8}{4+8}[/tex] = [tex]\frac{-14}{12}[/tex] = - [tex]\frac{7}{6}[/tex]
I WILL GIVE BRANLISTY HELP I HAVE A F
WHAT ARE THE INCHES AND CENTIMETERS OF THIS SQUARE AND GIVE REASON
Answer:
dude what type of question is this
Figure A is dilated to create A'. 5 in 3 in Figure A Figure A 10 in 6 in Which rule best represents the dilation that was applied to figure A? A. (x, y) (5x, 3y) B. (x, y) - (x, yl C. (x,y) - (x, y) D. (x, y) - (0.6x, 0.6y)
Answer:
A does
Step-by-step explanation:
5+3+10+6=24x56310B=A+B=A
what is 281.4/10*0?
No steps needed just answer
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
The length of the sides of ΔEFG are 144, 128, and 112. The length of the smallest sides of ΔQRS is 280. What is the length of the longest side of ΔQRS?
5/2 x X =1 what’s the answer
Answer: X is 0.4
Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.
Answer:
3
Step-by-step explanation:
"Find a number which, when added to 3, yields 7"
may be written as:
3 + ? = 7, 3 + n = 7, 3 + x = 1
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
SOLVING EQUATIONS
Equations may be true or false, just as word sentences may be true or false. The equation:
3 + x = 7
will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.
Example 1 Determine if the value 3 is a solution of the equation
4x - 2 = 3x + 1
Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.
4(3) - 2 = 3(3) + 1
12 - 2 = 9 + 1
10 = 10
Ans. 3 is a solution.
Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.
What is the mass of the cake left over?
Answer:
35%
Step-by-step explanation:
40%+25%=65%
100%-65%=35%
The principal amount, $5500, earns 3.75% interest compounded continuously.
a. Write the function that represents the value of the account at any time, t.
b. What will the value be after 6 years?
Answer:
a)
The function that represents the value of the account at any time, t
[tex]\:\:A=Pe^{rt}[/tex]
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 5,500.00 at a rate of 3.75% per year compounded continuously over 6 years is $ 6,887.77.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
[tex]\:\:A=Pe^{rt}[/tex]
where
A represents the Future Value
P represents the Principle (Initial Value)
r represents the Interest rate
t represents the time
b) What will the value be after 6 years?
Given
The principal amount P = $5500
Annual Rate r = 3.75% = 3.75/100 = 0.0375
Time Period t = 6 years
To Determine:
The total amount A = ?
Using the formula
[tex]\:\:A=Pe^{rt}[/tex]
substituting the values
[tex]A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}[/tex]
[tex]A=5500\cdot \:2.71828^{0.225}[/tex]
[tex]A = $ 6,887.77[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 5,500.00 at a rate of 3.75% per year compounded continuously over 6 years is $ 6,887.77.
A plane leaves London where the tempretaure outside is 17 C.
The plane rises to a height where the tempreture outside is -43 C.
The tempreture decreases by 2 C with every increase of 300 m in height.
The maximum height of plane is
Answer:
First you find the difference in temperature. Final temperature minus initial temperature. -43-17=-60 So for every 300m temp will minus 2C.
There's a difference of -60, how many -2 is in -60? So -60÷(-2)= 30. 30 times 300m = 9000m or 9km.
Dilate the the triangle, scale factor = 3 (positive 3, ignore the
negative in the image below) with a center of dilation about
the origin.
A(-7,-6)
B(-5,-2)
C(-1,-5)
Answer:
The rule of dilation is [tex]P'(x,y) = 3\cdot P(x,y)[/tex].
The vertices of the dilated triangle are [tex]A'(x,y) = (-21, -18)[/tex], [tex]B'(x,y) = (-15,-10)[/tex] and [tex]C'(x,y) = (-3,-15)[/tex], respectively.
Step-by-step explanation:
From Linear Algebra, we define the dilation by the following definition:
[tex]P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation, dimensionless.
[tex]k[/tex] - Scale factor, dimensionless.
[tex]P(x,y)[/tex] - Original point, dimensionless.
[tex]P'(x,y)[/tex] - Dilated point, dimensionless.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]k = 3[/tex], [tex]A(x,y) = (-7,-6)[/tex], [tex]B(x,y) = (-5,-2)[/tex] and [tex]C(x,y) =(-1,-5)[/tex], then dilated points of triangle ABC are, respectively:
[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)
[tex]A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)][/tex]
[tex]A'(x,y) = (-21, -18)[/tex]
[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)
[tex]B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)][/tex]
[tex]B'(x,y) = (-15,-10)[/tex]
[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex] (4)
[tex]C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)][/tex]
[tex]C'(x,y) = (-3,-15)[/tex]
The rule of dilation is:
[tex]P'(x,y) = 3\cdot P(x,y)[/tex] (5)
The vertices of the dilated triangle are [tex]A'(x,y) = (-21, -18)[/tex], [tex]B'(x,y) = (-15,-10)[/tex] and [tex]C'(x,y) = (-3,-15)[/tex], respectively.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x=3.6
Step-by-step explanation:
multiply 4 by 9 and then divide by 10
Answer:
x/4=9/10
x*10=9*4
x=(9*4)/10
X=3.6
Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
Given:
x, y and z are integers.
To prove:
If [tex]3x-y+5z[/tex] is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then [tex]3x-y+5z[/tex] is even.
[tex]3x[/tex] is always odd. [Using (i)]
[tex]5z[/tex] is always odd. [Using (i)]
[tex]3x-y[/tex] is always even. [Using (ii)]
[tex](3x-y)+5z[/tex] is always odd. [Using (iii)]
[tex]3x-y+5z[/tex] is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.
Will Mark Brainliest!!! Put these in order from LEAST TO GREATEST Pls.
29, 2.5, 5/4, 5.5, 6, 4.75, 28, 3.7
Answer:
5/4,2.5,3.7,4.75,5.5,6,28,29
Step-by-step explanation:
You forgot the zero in your answer. So your answer would be 0.95
Answer:
yes
Step-by-step explanation:
Answer:
I'm confused
Step-by-step explanation:
m% of n =
What is m% of n
please send steps
Answer:
m%(n)
Step-by-step explanation:
whenever the word "of" comes up in a math problem, it's going to mean to multiply. This case is no exception.
m% of n = m%(n)
n=number
m=the percent number
Ex: m=25
n=315
plug the values into m%(n)
25%(315)
There are two different forms you can do to solve this expression.
fraction: 25/100(315)=7875/100=78.75
the reason why it would be 25/100 hundred is because, %=per cent. Cent=100 and per would mean you would have to divide.
decimal: 0.25(315)=78.75
if 25% is 25/100 that means that 25 would be in the hundreths place in a decimal(0.ab)
3x + 4y = –20
6x + 5y = –7
Answer:
x = 8
y = -11
Step-by-step explanation:
In this question, we have to find out the value of "x" and "y".
Solve:
Lets solve for y first.
-2(3x + 4y = -20)
6x + 5y = -7
------------
-6x - 8y = 40
6x + 5y = -7
------------
-3y = 33
Divide both sides by -3
y = -11
We now know what the value of "y" is, now we must find the value of x. To do this, we would plug -11 to "y" in one of our equations.
Solve for x:
3x + 4y = -20
3x + 4(-11) = -20
3x - 44 = -20
Add 44 to both sides.
3x = 24
Divide both sides by 3
x = 8
Now we know that our answer are:
x = 8
y = -11
Can someone help me pleaseeee
Answer:
-40
Step-by-step explanation:
An integer is any whole number, positive or negative. However, an integer cannot be a fraction. Since you have just spent $40, you have lost that amount, therefore making your number negative or -40.
Answer 40 - 20
Step-by-step explanation:
20 is he number
What are the zeros of this function? Circle them on the graph.
Given:
The graph of a function.
To find:
The zeros of this function on the graph.
Solution:
We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.
From the given graph it is clear that, the graph intersect the x-axis at two points.
Therefore, the marked points on the below graph are the zeros of the function.
what is 100,000 times 90
Answer:
9000000
Step-by-step explanation:
Write the expression as either the sine, cosine, or tangent of a single angle. (2 points)
cosine of pi divided by three times cosine of pi divided by five plus sine of pi divided by three times sine of pi divided by five.
Answer:
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)
Step-by-step explanation:
We will make use of trig identities to solve this. Here are some common trig identities.
Cos (A + B) = cosAcosB – sinAsinB
Cos (A – B) = cosAcosB + sinAsinB
Sin (A + B) = sinAcosB + sinBcosA
Sin (A – B) = sinAcosB – sinBcosA
Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to
cosAcosB + sinAsinB and we know that
cosAcosB + sinAsinB = cos(A – B). Therefore,
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)