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3 years ago

List three ways to express 3^5 as a product of powers

Mathematics

1 answer:

eduard3 years ago

5 0

1st way- 3^2 * 3^3
2nd way- 3 * 3^4
3rd way- 3^0 * 3^5

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The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th

oksano4ka [1.4K]

<h2>Ratio of area of the square to the area of the circle = π/4</h2>

Step-by-step explanation:

Let the side of square be a and radius of circle be r.

The perimeter of a particular square and the circumference of a particular circle are equal.

Perimeter of square = 4 x a = 4a

Circumference of circle = 2πr

Given that

4a = 2πr

$a=\frac{\pi r}{2}$

We need to find the ratio of the area of the square to the area of the circle.

Area of the square = a²

Area of the circle = πr²

$\texttt{Ratio of area of the square to the area of the circle =}\frac{a^2}{\pi r^2}\\\\\texttt{Ratio of area of the square to the area of the circle =}\frac{\left ( \frac{\pi r}{2}\right )^2}{\pi r^2}\\\\\texttt{Ratio of area of the square to the area of the circle = }\frac{\pi}{4}$

Ratio of area of the square to the area of the circle = π/4

6 0

3 years ago

A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 ye

lisabon 2012 [21]

Answer:

It annually drops by 20%

Step-by-step explanation:

30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.

8 0

3 years ago

What is the remainder when thirty-eight is divided by four?

Alika [10]

The answer is 9.5 so the remainder would be 5

7 0

3 years ago

H=4(x+3y)+2 make x the subject thanks

serious [3.7K]

H= 4x+12y+2
Not sure if the question is asking you to use distribution but that's really all you can do with this

5 0

3 years ago

Refer to right triangle ABC with C = 90°. If a = 6 and c = 14, find b.

Maurinko [17]

Answer: b=4(10)^1/2

Step-by-step explanation:

Distance Formula: a^2+b^2=c^2

6^2+b^2=14^2

36+b^2=196

b^2=160

b^2=10*16

b=(10*16)^1/2

b=4(10)^1/2

3 0

2 years ago