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3 years ago

Write expressions in simplest form that represents the total amount in each situation

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

30 + 2x minutes a week.

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Plz help me with this

AnnZ [28]

Answer: $\bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}$

<u>Step-by-step explanation:</u>

The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B

In the given function, $B=\dfrac{6}{5}$ → $P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}$

Half of that period is: $\dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}$

Calculate the period for each of the options to find a match:

$A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}$

7 0

4 years ago

What is the volume of a cylinder with a diameter of 10 meters and a height of 8 meters? Use 3.14

Pachacha [2.7K]

Answer 20 I just did that question

5 0

3 years ago

What is the diameter of the circle?

Hatshy [7]

Hello!

The circumference is the diameter multiplied by pi. To find the diameter we will divide the circumference by pi (3.14).

1,133.54/3.14=361

361 is the diameter of the circle.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Similar Triangles

Fudgin [204]

Answer:

B. 3/9 = 4/12 = 1/3

Step-by-step explanation:

I calculated it logically

3 0

3 years ago

Sally can drive 750 miles in 12 hours and 30 minutes. What is her unit rate in miles per hour?

Kaylis [27]

Answer:

Step-by-step explanation:

750÷12.5=60

Convert 12 and a half hours into a decimal.=12.5

You would divide the 750 by the 12.5.

8 0

4 years ago