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3 years ago

Every year Amanda's school holds a swim competition. In 2009, there were 24

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer:

Step-by-step explanation:

60-24= 36

---------------------==9

2013-2009= 4

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Calculate Z z = 81 z = 30 z = 15 z = 20 choose the only correct answer

klemol [59]

Z = 15 ( Use Pitago’ Theorem)

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3 years ago

Read 2 more answers

Which set of numbers is an example of an arithmetic sequence

seropon [69]

Step-by-step explanation:

b ha ok like and follow please

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4 years ago

he Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 1.5 times its heigh

tatiyna

Answer:

5.54 feet.

Step-by-step explanation:

Let h be the height of the pool and r be the radius of the pool.

We have been given that volume of cylindrical pool in Sunny Days Apartment building is 1200 cubic feet.

We have been given that the radius of the pool is 1.5 times its height. We can represent this information in an equation as:

$r=1.5*h...(1)$

$\text{Volume of cylinder}=\pi r^2h$

Substituting equation (1) in volume formula we will get,

$\text{Volume of cylindrical pool}=\pi (1.5h)^2*h$

Substituting the given volume of pool in formula we will get,

$1200=\pi (1.5h)^2*h$

$1200=\pi*2.25*h^2*h$

$1200=\pi*2.25*h^3$

Let us divide both sides of our equation by 2.25 pi.

$\frac{1200}{2.25\pi}=\frac{\pi*2.25*h^3}{2.25\pi}$

$169.7652726=h^3$

Let us take cube root of both sides of our equation.

$\sqrt[3]{169.7652726}=h$

$5.537=h$

$h=5.537\approx 5.54$

Therefore, the height of the pool is approximately 5.54 feet.

8 0

3 years ago

Find cos(2115°) and sin(2115°). Identify the measure of the reference angle.

ivolga24 [154]

Answer:

Cos(2115°) =1/√2

Sin(2115°) = -1/√2

Step-by-step explanation:

We have to find the values of Cos (2115°) and Sin (2115°).

Now, 2115° can be written as (23×90°+ 45°).

Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.

Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)

Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)

Now, the required reference angle is 45°. (Answer)

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4 years ago

What is the sale price of a cell phone that is on sale for 15% off if the regular price is $75?

Lisa [10]

The correct answer would be $63.75. Because 75-15%=63.75. :)

5 0

3 years ago