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3 years ago

10

Total cost to rent a row boat is $16 times the number of hours the boat is used write an equation to the model this situation if

c= total cost and h= number of hours

1 answer:

LUCKY_DIMON [66]3 years ago

6 0

C = 16h

This is the basic set up of a cost function which is a direct correlation.

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I don't know how to solve this.

Leona [35]

What is the question?

5 0

3 years ago

For positive acute angles AA and B,B, it is known that \tan A=\frac{28}{45}tanA= 45 28 and \cos B=\frac{3}{5}.CosB= 5 3 . Fi

MrRa [10]

Answer:

$\cos(A + B) = \frac{23}{265}$

Step-by-step explanation:

Given

$\tan A=\frac{28}{45}$

$\cos B=\frac{3}{5}$

Required

$\cos(A+B)$

In trigonometry:

$\cos(A+B) = \cos\ A\ cosB - sinA\ sinB$

We need to solve for cosA, sinA and sinB

Given that:

$\tan A=\frac{28}{45}$ and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),

So, we have:

$x =28$ and $y = 45$

For this angle A, we need t calculate its hypotenuse (z).

Using Pythagoras,

$z^2 = x^2 + y^2$

$z = \sqrt{x^2 + y^2$

$z = \sqrt{28^2 + 45^2$

$z = \sqrt{2809$

$z = 53$

From here, we can calculate sin and cos A

$\sin A= \frac{opposite}{hypotenuse}$ and $\cos A= \frac{adjacent}{hypotenuse}$

$\sin A= \frac{x}{z}$

$\sin A= \frac{28}{53}$

$\cos A= \frac{y}{z}$

$\cos A= \frac{45}{53}$

To angle B.

Give that

$\cos B=\frac{3}{5}$ and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),

So, we have:

$a = 3$ and $b = 5$

For this angle B, we need to calculate its opposite (b).

Using Pythagoras,

$c^2 = a^2 + b^2$

$5^2 = 3^2 + b^2$

$25 = 9 + b^2$

Collect like terms

$b^2 = 25 - 9$

$b^2 = 16$

$b = \sqrt{16$

$b = 4$

From here, we can calculate sin B

$\sin B= \frac{opposite}{hypotenuse}$

$\sin B = \frac{b}{c}$

$\sin B = \frac{4}{5}$

Recall that:

$\cos(A+B) = \cos\ A\ cosB - sinA\ sinB$

and

$\cos B=\frac{3}{5}$ $\sin B = \frac{4}{5}$ $\sin A= \frac{28}{53}$ $\cos A= \frac{45}{53}$

$\cos(A + B) = \frac{45}{53} * \frac{3}{5} - \frac{28}{53} * \frac{4}{5}$

$\cos(A + B) = \frac{135}{265} - \frac{112}{265}$

$\cos(A + B) = \frac{135-112}{265}$

$\cos(A + B) = \frac{23}{265}$

7 0

3 years ago

Hello i really need help with this as you can see i am kinda dumb

andrew11 [14]

Answer:

The answer to your question is 17, -5, 10

Step-by-step explanation:

Coefficients are the numbers that come before a variable (letter) like x, y or z.

In your question

17 is the coefficient of 17x

-5 is the coefficient of -5y

10 is the coefficient of 10z

In this problem, there are 3 variables and then there are 3 coefficients.

8 0

3 years ago

How many times larger is the value of 150,000 than 150?

stiks02 [169]

1,000 times larger! You're welcome :) All you do it divide the two. Hope this helped!

4 0

3 years ago

Read 2 more answers

Can someone answer all 3 thanks.

MA_775_DIABLO [31]

Answer:

All of them are yes because you either subtract or add to put in the form of mx+b

6 0

3 years ago