What is the distance between the following points?

A 12
B 13
C 36
D 97​

Answer:

That would be false

Step-by-step explanation:

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]

For more information, refer to the link given below:

https://brainly.com/question/17081568

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:

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:

rocket ships

Step-by-step explanation:

rocket ships

obamnia

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

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

Answer:

The answer is 1/2.

Step-by-step explanation:

1 1/3-5/6=

1 1/3 needs to be turned into a improper fraction. 1 1/3=4/3.

Now we can do 4/3-5/6 but, the denominator has to be the same. We can make them 8/6-5/6.

*(Whatever happens to the denominator, has to happen to the numerator.)

8/6-5/6=3/6. Typically, the answer could be 3/6 but you could also simplify it to 1/2.

So, the answer would be 1/2.

Hopefully this helps you and sorry if it doesn't.

Answer: Linear association

Step-by-step explanation:

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

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

To know more about Expressions check:

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Answer: the answer to this problem is 36 :)

Answer:

Both are 36

Step-by-step explanation:

I just did it

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

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

= 640

Answer:

Fourth option

Step-by-step explanation:

The answer is the fourth option "difference of squares method." It's not the first option because the substitution method is when you pick one of the equation in a system of equations, solve it for a variable and then plug the variable into the other equation to help solve. It's not the second option because the graphing method is used to solve a system of equations by graphing the equations on the same coordinate plane, it's not the third option because the addition method is also known as the elimination method which is the third method to solving a system of equations. Therefore your answer is the fourth option.

Hope this helps.

Answer:

1 3

- , -

2 4

..

..

..

...

........

Answer: Slope: 2/3

y-intercept: 9

Step-by-step explanation:

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

Step-by-step explanation:

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:

Step-by-step explanation:

A=πr2=π·42≈50.26548in²

I hope it's help

Answer:

50.24

Step-by-step explanation: 1

C = 4 inches

4 in x 2 = 8

8 x 3.14 = 25.12

Step-by-step explanation: 2

C = 2 x 8 = 16

16 x 3.14 = 50.24

           ~Hope this helps!

      ~Hocus Pocus

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

Answer:

1120$

Step-by-step explanation:

Total Intrest/By 7%

Answer:

$1,120 hope this helps!

Step-by-step explanation:

Answer:

So you have it right. 15 5/7 in

Step-by-step explanation:

C = πd

All you can do now is substitute what has been given

Diameter = 5

Pi = [tex]\frac{22}{7}[/tex]

C = [tex]\frac{22}{7}[/tex] * 5

Multiply from across

22 * 5 = 110 ( numerator)

7 * 1 = 7 (denominator)

110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)

Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above

Hope this helped!

Have a supercalifragilisticexpialidocious day!

So you have it right. 15 5/7 in

Step-by-step explanation:

C = πd

All you can do now is substitute what has been given

Diameter = 5

Pi = \frac{22}{7}

7

22

C = \frac{22}{7}

7

22

* 5

Multiply from across

22 * 5 = 110 ( numerator)

7 * 1 = 7 (denominator)

110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)

Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

I think it's B and D

Step-by-step explanation:

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:

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:

5 cube and 5 cube = 10 cube..??

Step-by-step explanation: ok so can i have brainiest plaease::)

Answer:

the slope is -3 and the y intercept is 12