(x-4)/(2x+1)-3 can you help me with this question

Answer:

DE ≈ 40

Step-by-step explanation:

Using the Sine rule in Δ DEF

∠ D = 180° - (58 + 87)° ← sum of angles in a triangle

∠ D = 180° - 145° = 35° , then

[tex]\frac{DE}{sin87}[/tex] = [tex]\frac{EF}{sin35}[/tex] = [tex]\frac{23}{sin35}[/tex] ( cross- multiply )

DE × sin35° = 23 × sin87° ( divide both sides by sin35° )

DE = [tex]\frac{23sin87}{sin35}[/tex] ≈ 40 units ( to the nearest whole number )

Answer:

∠TAC is approximately equal to 61.6°

Step-by-step explanation:

The given parameters for the pyramid are;

The dimension for the rectangular base are; Length = 9 cm, width = 7 cm

The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each

The midpoint of the rectangular base = Point M

The diagonal AC = AM + MC

AM = MC as given M is the midpoint of the rectangular base

∴ AC = AM + MC = 2·AM

By Pythagoras' theorem, AC = √(9² + 7²) = √130

AC = √130 cm

∴ AM = AC/2 = (√130)/2 cm

Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm

∠TAC = ∠TAM

By trigonometric ratios, we have;

[tex]cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}[/tex]

[tex]\therefore cos (\angle TAM) = cos (\angle TAC) = \dfrac{\left (\dfrac{\sqrt{130} }{2} \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}[/tex]

[tex]\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx 61.6 ^{\circ} \ to 1 \ decimal \ place[/tex]

The measure of angle TAC is 61.6 degrees

The given parameters are:

[tex]\mathbf{AB = 7}[/tex]

[tex]\mathbf{BC = 9}[/tex]

Start by calculating length AC, using the following Pythagoras theorem.

[tex]\mathbf{AC = \sqrt{AB^2 + BC^2}}[/tex]

So, we have:

[tex]\mathbf{AC = \sqrt{7^2 + 9^2}}[/tex]

[tex]\mathbf{AC = \sqrt{49 + 81}}[/tex]

[tex]\mathbf{AC = \sqrt{130}}[/tex]

[tex]\mathbf{AC = 11.40}[/tex]

Next, we calculate side length AM

[tex]\mathbf{AM = \frac{AC}{2}}[/tex]

So, we have:

[tex]\mathbf{AM = \frac{11.40}{2}}[/tex]

[tex]\mathbf{AM = 5.70}[/tex]

The measure of angle TAC is calculated using the following cosine ratio

[tex]\mathbf{cos(A)= \frac{AM}{TA}}[/tex]

So, we have:

[tex]\mathbf{cos(A)= \frac{5.70}{12}}[/tex]

[tex]\mathbf{cos(A)= 0.475}[/tex]

Take arc cos of both sides

[tex]\mathbf{A= 61.6}[/tex]

Hence, the measure of angle TAC is 61.6 degrees

Read more about pyramids at:

https://brainly.com/question/15591430

Answer:

shown

Step-by-step explanation:

This is the link to the same question i think with a answer, im not good at these types of math but hopefully this helps you guys out! https://brainly.com/question/13982030

Answer:

-6

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

65 + 55 = 120

angle B must equal 60

angle B is labeled as 2x

set up equation to solve for 'x':  2x = 60

                                                     x = 30

add up all angles to make sure you get 180 degrees

Answer:

Step-by-step explanation:

Split check( order Deserts)Answer: 50

Split check( No Deserts)Answer:18

68-50=18

One person pays ( Order Desert)Answer:16

54-38=16

One person pays(No Deserts)Answer: 38

56-18=38

One Person Pays (Total)Answer:54

112-68=54

Order Deserts (Total) ANswer 66

50+16=66

Answer:

Y= [tex]\frac{-2x+6}{3}[/tex]

Step-by-step explanation:

slope intercept formula is

Y=mx+b

Now we want the y isolate so in this case we just subtract 2x on both sides

3Y=6-2x

or in more better terms

3y=-2x+6

Now we want the 3 isolated so we divide 3 on both sides

and you’ll get

[tex]\frac{-2x+6}{3}[/tex]

Answer:

128 people

Step-by-step explanation:

160 people multiplied by 4 ladles per person equal 640 ladles in total

640 ladles divided by 5 ladles each equals 128 people

The first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators

From the question,

The given expression is 4/5 + 1/2

This can be written properly as

[tex]\frac{4}{5}+\frac{1}{2}[/tex]

In solving the problem, the first step is to make the fractions have a common denominator. This can be achieved by finding the LCM (Lowest common multiple) of their denominators (that is, 5 and 2)

The LCM of 5 and 2 is 10

If we were to solve the equation, we will get

[tex]\frac{4}{5}+\frac{1}{2}[/tex]  = [tex]\frac{2(4) + 5(1)}{10}[/tex]

Hence, the first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators.

Learn more here: https://brainly.com/question/15725790

Answer: 2075

Step-by-step explanation:

Sonia traveled 2905 miles in 7 days

2905/7=415 miles/day

415*5=2075 miles

Given that,

Karen will divide her garden into equal parts. She will plant corn in 12/20 of the garden.

To find,

The fewest number of parts she can divide her garden into.

Solution,

It is mentioned that she will plant corn in 12/20 of the garden.

If we divide both numerator and denominator by 4, it will become:

[tex]\dfrac{12/4}{20/4}=\dfrac{3}{5}[/tex]

It means the fewest number she can divide her garden into is 4. 3/5 part is planted with corn and rest 2/5 is not planted with corn plant.

Answer:

It is an obtuse angle

Step-by-step explanation:

It is an obtuse angle because if any angle on a triangle is greater than 90 degrees, then it is called obtuse.

Answer:

25

Step-by-step explanation:

9×(1/3)²+25=9×1/9+25=25

Answer:

would that be 10

Step-by-step explanation:

Answer:

All the integers. Since an integer times an integer is always an integer.

Step-by-step explanation:

Answer:

It is always going to be an integer.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:yea sure but I don’t see anything there

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

When you plug in -2 for x you get -4(-2) +3

8 +3 = 11

F(-2)=11

Hope this helps, have a nice day

Answer:

f(- 2) = 11

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x), that is

f(- 2) = - 4(- 2) + 3 = 8 + 3 = 11

Answer:

you have to find gradient

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex] \frac{ - 3}{1} [/tex]

Answer:

p = 43

Step-by-step explanation:

I assume you mean an expression with exponents.

In the future, for a to the n power use a^n.

Recall the following two rules of exponents:

[tex] x^a \times x^b = x^{a + b} [/tex]

[tex] (x^a)^b = x^{ab} [/tex]

Now we can answer your question.

[tex] (x^{22})(x^7)^3 = [/tex]

[tex]= (x^{22})(x^{21})[/tex]

[tex] = x^{43} [/tex]

Since

[tex] x^{43} = x^p [/tex]

then

p = 43

Answer:

the average rate of change is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

2. Solving

Input the given points into the formula and solve.

[tex]\frac{(-1)-(-5)}{(4)-(3)}[/tex]

[tex]\frac{-1+5}{1}[/tex]

[tex]\frac{4}{1}[/tex]

4

Answer:

 simplified: 3x^2+7x+5y-4

Step-by-step explanation:

all you gotta do is you add -5x and 12x

Answer:

2. G)-11

3. C

4) F. y=1/2x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remark

The easiest way to do this is to take the two intercepts (x  and   y)

x intercept: (-4,0)

y intercept: (0,2 )

Givens

y2 = 2

y1  = 0

x2 = 0

x1 = - 4

Equation

m = (y2 - y1)/(x2 - x1)

Solution

m = (2 - 0)/(0 - - 4)

m = 2/4 = 1/2

Find b

y = mx + b

y = 2

x = 0

2 = 1/2x +  b

2 = 1/2*0 + b

b = 2

Answer

y = 1/2 x  + 2

Answer:

1. domain (-3,5] range (3,4]

2. domain [-2,4] range [5,4]

3. domain (1,4) range (-1,-4)

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Step-by-step explanation:

1).domain [-3,5)

range( -4,3]

2)domain[-2,4)

range:[-2,5)

3) domain[1,4]

range [-4,-1]

Answer:

1) ¿Puedes ayudarme a encontrar ropa?

2) Estoy buscando una camisa y un par de zapatos.

3)  Sí. Veo una camisa azul y un par de zapatos blancos.

4) Llevo 3 camisas y 2 pares de zapatos.

5) Voy a pagar en efectivo.

Answer:

option B is correct

Hope my answer is helpful to you

Answer:

9a + 6b and 5c - 3d

Step-by-step explanation:

(a)

4a + 7b + 5a - b ← collect like terms

= (4a + 5a) + (7b - b)

= 9a + 6b

(b)

6c + 4d - c - 7d ← collect like terms

= (6c - c) + (4d - 7d)

= 5c - 3d

Answer:

a) [tex]3(3a + 2b)[/tex]

b) [tex]5c - 3d[/tex]

Step-by-step explanation:

a) [tex]4a + 7b + 5a - b[/tex]

Lets arrange all like terms.

[tex] = > 4a + 5a + 7b - b[/tex]

[tex] = > 9a + 6b[/tex]

Taking 3 common from the terms,

[tex] = > 3(3a + 2b)[/tex]

b) [tex]6c + 4d - c - 7d[/tex]

Lets arrange all like terms.

[tex] = > 6c - c + 4d - 7d[/tex]

[tex] = > 5c - 3d[/tex]

Answer:

D

Step-by-step explanation:

This is equivalent to t < 4.

clearly this is not part of the set.