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3 years ago

10

A student lives 3 miles from the library . He is riding his bike to the library . The distance he has remaining y is a function

of how long he has been riding his bike

1 answer:

astraxan [27]3 years ago

4 0

Would the answer be 6? or 9?

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Giselle pays $220 in advance on her account at the athletic club. Each time she uses the club,

ale4655 [162]

Answer:

$y=220-15x$

Step-by-step explanation:

Let x represent the number of times Giselle uses the athletic club and y represent money left in account.

We have been given that each time she uses the club, $15 is deducted from the account. The amount used after using the club after x times would be $15x$ .

We are also told that Giselle pays $220 in advance on her account at the athletic club.

The money left in account after x uses of athletic club would be money in account initially minus amount used for using the club x times.

$y=220-15x$

Therefore, our required equation would be $y=220-15x$ .

5 0

3 years ago

from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height

maksim [4K]

Answer:

Take a look of the image below, we can think on this problem as a problem of two triangle rectangles.

We can see that both triangles share the adjacent cathetus, then the height of the flagpole is just the difference between the opposite cathetus.

Remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

So, if we define H as the height of the cliff

X as the distance between the observer and the cliff

and h as the height of the flagopole

we can write:

tan(40°) = H/X

tan(45°) = (H + h)/X

Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.

But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.

We want to find the value of h.

If we take the quotient between both equations, we get:

Tan(45°)/Tan(40°) = (H + h)/H

1.192 = (H + h)/H

1.192*H = H + h

1.192*H - H = h

0.192*H = h

So the height of the flagpole is 0.192 times the height of the cliff.

6 0

3 years ago

What is the length of MN?

Karo-lina-s [1.5K]

The answer is 12 according to Apex

8 0

3 years ago

Read 2 more answers

9 less than a number can be written as

Liono4ka [1.6K]

Answer:

9 less can be written as -9

7 0

2 years ago

Read 2 more answers

If f(x)=(1/8)(8^x) what is f(3)?<br> A. 1/512<br> B. 1/64<br> C. 512<br> D. 64

cestrela7 [59]

Hi there!

Let's solve this problem step by step!
$f(x) = \frac{1}{8} (8 {}^{x})$

To find f(3) we must substitute x = 3 into the formula.
$f(3) = \frac{1}{8} (8 {}^{3} )$

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
$f(3) = \frac{1}{8} \times 512$

And finally multiply.
$f(3) = \frac{1}{8} \times \frac{512}{1} = \frac{512}{8} = 64$

Hence, the answer is D. 64.
~ Hope this helps you!

4 0

2 years ago

Read 2 more answers