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3 years ago

Find the surface area of a sphere with radius of 60 centimeters. Leave your answer in terms of pi

Mathematics

1 answer:

Gre4nikov [31]3 years ago

7 0

Answer:

14400π

<h2>Step-by-step explanation:</h2>

Surface Area = 4πr²

= 4×π×602

= 14400π

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A bag of 7 bouncy balls cost $9.80. What is the unit price?

Fittoniya [83]

Answer:

$1.40

Step-by-step explanation:

Unit = "1 value"

9.80/7 = 1.4

8 0

2 years ago

Assuming the following two triangles are congruent, solve for x if QR =

makkiz [27]

I think you meant the two <em>segments</em><em> </em>are identical, if so then:

$3x + 16 = 5x - 22 \\ - 2x = - 38 \\ x = 19$

3 0

3 years ago

Read 2 more answers

Which equation is the inverse of y = 100 – x2?<br> A.y= +or- sqrt 100-x A. is the correct answer

GREYUIT [131]

I hope this helps you

100-y=x^2.

x= square root of 100-y

y^-1= square root of 100-x

4 0

3 years ago

let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

1 year ago

Division of whole numbers 3075 divided by 3

butalik [34]

Answer:

1025

Step-by-step explanation:

3075/3=1025

4 0

3 years ago