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dlinn [17]
3 years ago
7

What is the amplitude of y=4 sin 1/3 x

Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

4

Step-by-step explanation:

The amplitude of the sin graph is 4. Sin graphs are written as y=A sin(B(x-D))+C where A is the amplitude. In the equation above 4 is multiplied in front of sin, which shows it is the amplitude. Since 4 is the amplitude the graph will have a range of [-4,4].

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Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would
Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

56656.04 = \pi {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{56656.04}{\pi}

Find the square root of both sides

r =  \sqrt{ \frac{56656.04}{\pi} }

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

3 0
3 years ago
What is the volume of a sphere with a radius of 4
Ede4ka [16]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

V = \frac{4}{3}\pi  r^{3}

Here, we are given that our sphere has a radius of 4 units.

So plugging into the formula, we have (\frac{4}{3})(\pi)(4 units)^{3}.

Start by simplifying the exponent.

(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.

So we have (\frac{4}{3})(\pi)(64 units^3}).

Next, we multiply (4/3)(64) which can

be thought of as (4/3)(64/1)

So multiplying across the numerators and across the denominators,

we have \frac{256}{3} \pi units^{3}.

5 0
3 years ago
Given: JP = KP; PX = PY<br> Prove: APYJ - APXK<br> Which best describes the missing reasons?
Alex73 [517]

Answer:

SAS Reflective property

Step-by-step explanation:

5 0
3 years ago
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Fido wants to buy a new car. He will need to get a car loan. Fido decides to wait for a few months until his credit history
Marta_Voda [28]

Answer:

Fido's decision is sensible because the cost of the car loan should be less this credit history improves

Step-by-step explanation:

5 0
3 years ago
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Find the unit price for 9 colored pencils for $56
Alex Ar [27]

Answer:

6 2/9

Step-by-step explanation:

56/9

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