answer only if correct:)

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

Answer:

The surfer is 39.7 ft from the shoreline.

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:

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:

x=4

Step-by-step explanation:

5x-4=16

5x-4+4=16+4   add 4 to each side

5x=20              simplify

5x/5=20/5       divide each side by 5

x=4                   simplify

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

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

= 640

Answer: Linear association

Step-by-step explanation:

Answer:

y=29

x=9

Step-by-step explanation:

plug the first equation into the second one as y

2x+y=47

solve

then plug answer u got in x

y=3(9)+2

solve

Answer: the answer to this problem is 36 :)

Answer:

Both are 36

Step-by-step explanation:

I just did it

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

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:

1.83

Step-by-step explanation:

1.78 + 5 cm

because it says she is taller so you add both

Height of Amy who is 5 cm taller than Jack is 1.83 meters.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.

Therefore, The sum of the height of Jack and 5 cm more is the height of

Amy.

Therefore,

178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)

So, 183 cm is equal to 1,83 meters.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

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:

the slope is -3 and the y intercept is 12

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:

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:

 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:

brainly.com/question/16804733

#SPJ6

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.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

Answer: Slope: 2/3

y-intercept: 9

Step-by-step explanation:

Answer:

rocket ships

Step-by-step explanation:

rocket ships

obamnia

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:

Answer:

1120$

Step-by-step explanation:

Total Intrest/By 7%

Answer:

$1,120 hope this helps!

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: