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2 years ago

A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x

2 answers:

7 0

The first one is 1.12867 because you need to set it up like this.
4=3.14(x)squared
4/3.14=x(squared)
x=1.12867

The second one is done simply by multiplying it out.
A=3.14(3x)squared
A=3.14(9x[squared])
A=28.26x[squared] -The squared is referring to the x.

stich3 [128]2 years ago

3 0

Answer:

Area = 36 units.

Step-by-step explanation:

Given : A circle whose area is 4 has a radius of x .

To find : find the area of a circle whose radius is 3x.

Solution: We have given

Area of circle = 4 units.

Radius = x .

Formula of area = pi (radius)².

Plug the values

pi (x)² = 4 -------(A)

If the radius = 3x .

Then 4

Area = pi (3x)².

Area = pi (9)(x)².

Area = 9 pi (x)²-----(B) .

We can see from equation ( A) 4 = pi (x)²

Area = 9 * 4.

Area = 36 units.

Therefore, Area = 36 units.

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Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ

Grace [21]

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

$csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1$

Therefore, by substitution, you can rewrite the identity as shown below:

$1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta$

Simpliying, you obtain:

$\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta$

The identity is verified.

6 0

3 years ago

Melodys family wants to go to Hawaii, which is a 3,700 mile airplane ride. Write the number of miles in scientific notation

jenyasd209 [6]

Answer:

$3.7*10^3$

Step-by-step explanation:

Step one:

given data

3,700 mile

In scienctific notation or in standard form 3,700 mile is expressed as

$3.7*10^3$

7 0

2 years ago

How would eight billion, nine hundred seventy-seven thousand, thirteen be written in standard form?

zheka24 [161]

Answer:

8 billion > 8,000,000,000

977 thousand > 977,000

13> 13

8,000,977,013

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Simple interest I in dollars is calculated using the formula I=prt, where p represents the principal, or amount in dollars tha

Sergeeva-Olga [200]

and we do this one the same way as the other.

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