Which angle is adjacent to <EFA?

A) Angle BFD
B) Angle DFE
C) Angle CFD
D) Angle BFC​

Answer:  x = − 30  7   Decimal Form   : x = − 4. ¯¯¯¯¯¯¯¯¯¯¯¯ 285714     Mixed Number Form   : x = − 4 2 7

Step-by-step explanation:

Answer: the answer to this problem is 36 :)

Answer:

Both are 36

Step-by-step explanation:

I just did it

Answer:

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Step-by-step explanation:

Explanation:-

Given    (-4)⁻²

we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]

       (-4)⁻² =  [tex]\frac{1}{(-4)^{2} }[/tex]

                [tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]

               [tex]= \frac{1}{16}[/tex]

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Answer:

cos ([tex]\frac{7\pi}{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

Decimal value: −0.9238795325...

Step-by-step explanation:

Write,

cos [tex]\frac{7\pi}{8}[/tex] = cos [tex](\pi-\frac{\pi}{8})[/tex] = −cos [tex]\frac{\pi }{8}[/tex]

Now using half angle formula, cos(x) = 2 cos²([tex]\frac{\pi }{2}[/tex]) − 1, we can write cos [tex]\frac{\pi }{4}[/tex] = 2

cos²([tex]\frac{\pi }{8}[/tex]) − 1

This means [tex]\frac{1}{\sqrt{2}}[/tex] + 1 = 2 cos²([tex]\frac{\pi }{8}[/tex])

2 cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{\sqrt{2}}[/tex]

cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{2\sqrt{2}}[/tex]

cos([tex]\frac{\pi }{8}[/tex]) = [tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex]

Simplify,

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

Hence,

cos ([tex]\frac{7\pi}{8}[/tex]) = −cos ([tex]\frac{\pi }{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

The exact value of cos(7pi/8) is [tex]\rm -\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex] and this can be determined by using the trigonometric properties.

Given :

Expression  -- [tex]\rm cos(\dfrac{7\pi}{8})[/tex]

The following steps can be used to determine the exact value of the given expression:

Step 1 - Write the given expression.

[tex]=\rm cos(\dfrac{7\pi}{8})[/tex]

Step 2 - Rewrite the above expression.

[tex]= \rm cos(\dfrac{8\pi - \pi}{8})[/tex]

Step 3 - The above expression is reduced to:

[tex]= \rm -cos(\dfrac{ \pi}{8})[/tex]    --- (1)

Step 4 - According to the trigonometric properties:

[tex]\rm cos(x) = 2 cos^2(\frac{x}{2})-1[/tex]

Step 5 - Substitute the value of x = [tex]\pi[/tex]/4 in the above expression.

[tex]\rm cos(\frac{\pi}{4}) = 2 cos^2(\frac{\pi}{8})-1[/tex]

Step 6 - Simplify the above expression.

[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{\dfrac{1}{\sqrt{2}} +1}{2}}[/tex]

[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{1+\sqrt{2} }{2\sqrt{2} }[/tex]

[tex]\rm cos(\frac{\pi}{8})=\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]

Step 7 - Substitute the value of cos([tex]\pi[/tex]/8) in the expression (1).

[tex]\rm -cos(\frac{\pi}{8})=-\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]

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Answer:A

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The correct option is C.

A ratio shows us the number of times a number contains another number.

Given that a recipe calls for 3 cups of pecans for every 5 cups of walnuts. Therefore, the ratio of pecans to walnuts is,

Pecans/ Walnuts = 3 cups / 5 cups

Now, the number of cups of pecans that should be added to 8 cups of walnuts is,

Pecans/ Walnuts = 3 cups / 5 cups

Pecans/ 8 cups = 3 cups / 5 cups

Pecans = (8×3)/5 cups

Pecans = 4.8 cups

Hence, the correct option is C.

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Answer:

rocket ships

Step-by-step explanation:

rocket ships

obamnia

Answer:

That would be false

Step-by-step explanation:

Answer:

44.68

Step-by-step explanation:

just add them

Answer:

Step-by-step explanation:

[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]

Answer: Linear association

Step-by-step explanation:

Answer:

1120$

Step-by-step explanation:

Total Intrest/By 7%

Answer:

$1,120 hope this helps!

Step-by-step explanation:

Answer: Number of pizzas out of 4000 that is expected to be pan size

= 4000 * 168 / (326 + 309 + 247 + 168)

= 640

Answer:

Radius = 2.31 cm

Step-by-step explanation:

Area of circle = 16.71 square centimeters

[tex]\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306[/tex]

Radius of circle = 2.31 centimeter

Answer:

x < 8

Step-by-step explanation:

x + 6 < 14

x < 14-6

x < 8

hope it help u

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Answer:

7*(1/10)=   the third one

Step-by-step explanation:

Answer:

I am here to save you!!!!

Step-by-step explanation:

It's the third one

Unit Rate is the correct answer, I know because it is the correct answer

Answer:

Part 1)

[tex]f(g(x))=10x^3+16[/tex]

Part 2)

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=2x^2+16[/tex]

Which represents the amount of money Raul earns per ticket and:

[tex]g(x)=\sqrt{5x^3}[/tex]

Which represents the number of tickets Raul sells per hour.

Part 1)

We want to find f(g(x)).

So, we substitute g(x) for f(x). This yields:

[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]

This can be expanded a simplified as such:

[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]

Part 2)

Recall that f(x) outputs the amount of money Raul earns per ticket.

And g(x) inputs the amount of hours Raul works.

When we composed f(g(x)), the input and output stayed the same.

So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).

Answer:

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

Answer: Slope: 2/3

y-intercept: 9

Step-by-step explanation:

Answer:

 The answer is 0.18y+5.5

Step-by-step explanation:                

because the only thing you had to do is move the decimal.

The expression which represents the production cost for one shirt is, 0.18y +0.55. So Option A is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The production cost to make 10 shirts is modeled by the expression,

Total Cost = 1.8y + 5.5,

where y represents the number of meters of fabric needed to make the shirts

So, for one shirt cost,

Cost of 1 shirt = Total Cost/10

                       = 1.8y + 5.5/10

                       =  0.18y + 0.55

Thus, the expression is  0.18y + 0.55

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Answer:

d = √389

Step-by-step explanation:

to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.

a^2 + b^2 = c^2

10^2 + 17^2 = x^2

100 + 289 = x^2

389 = x^2

√389 = √x^2

√389 = x

Answer:

108

Step-by-step explanation:

You are correct for stating one tissue box has a volume for 36.

But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.

36+36+36=108

Answer:

6*3*2=36 there are 3 boxes so 36*3=108

Step-by-step explanation:

Answer: B. 5 ∙ y + 5 ∙ 2 + 4

Step-by-step explanation:

The options are:

a. 5 + y + 5 + 2 + 4

b. 5 ∙ y + 5 ∙ 2 + 4

c. 5 ∙ y + 5 ∙ 4 + 4

d. 5 ∙ y + 5 + 2 + 4

To solve the question, we have to expand 5(y+2)+4. This will be:

= (5 × y) + (5 × 2) + 4

= 5 ∙ y + 5 ∙ 2 + 4

= 5y + 10 + 4

= 5y + 14

Answer:

the slope is -3 and the y intercept is 12

Answer:

C

Step-by-step explanation:

The actual average time = 81.5 minutes

The correct answer is an option (B) 81.48 minutes

"percent error = [(estimated value - actual value) / (actual value)] × 100"

For given example,

percent error (e) = 3%

estimated average time spent (x) = 84 minutes

We need to find the actual average time spent (y)

Using the formula of percent error,

⇒ e = [(x - y)/y] × 100

⇒ 3 = (84 - y)/y  × 100

⇒ (84 - y)/y = 3/100

⇒ (84 - y) / y = 0.03

⇒ 84 - y = 0.03y

⇒ 84 = 0.03y + y

⇒ 84 = (1.03)y

⇒ y = 81.5 minutes

Therefore, the actual average time = 81.5 minutes

The correct answer is an option (B) 81.48 minutes

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Answer:

a

Step-by-step explanation:

Answer:

y = 0.5 x equation represents a direct variation

Answer:

I think it's B and D

Step-by-step explanation: