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3 years ago

Find the surface area of a sphere with a diameter of 32 mm. Express your answer in terms of pie

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

Answer:

A = 1024π

Step-by-step explanation:

$A=4\pi r^{2}$ Use this equation to find the surface area of the sphere

$A=4\pi(16)^{2}$ Simplify the exponent

A = 4π(256) Multiply

A = 1024π

If this answer is correct, please make me Brainliest!

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Solve for x. write integer or simplified fraction.<br><br>22/2 = x/3

ale4655 [162]

<h3>I'll teach you how to solve 22/2 = x/3</h3>

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22/2 = x/3

Switch sides:

x/3 = 22/2

Divide the numbers 22/2:

x/3 = 11

Multiply both sides by 3:

x/3*3= 11*3

Simplify:

x=33

Your Answer Is x= 33

plz mark me as brainliest :)

5 0

3 years ago

A right triangle has base x meters and height h meters, where h is constant and x changes with respect to time t, measured in se

aksik [14]

The relationship between dθ/dt, the rate of change of θ with respect to time, and dx/dt, the rate of change of x with respect to time is $\frac{d\theta}{dt} = \frac{h}{x\sqrt{x^2+y^2} }\frac{dx}{dt}$

Given the following parameters:

Adjacent side = x

Opposite side = h

The angle of elevation = θ

According to SOH CAH TOA identity;

$tan \theta =\frac{Opposite}{Adjacent}$

Substitute the given values into the formula

$tan \theta =\frac{h}{x}$

$\theta= tan^{-1}\frac{h}{x}$

Differentiate with respect to x

$\frac{d \theta}{dx} = \frac{h}{x\sqrt{x^2+y^2} }$

According to the chain rule,

$\frac{d\theta}{dt} =\frac{d\theta}{dx} \times \frac{dx}{dt}\\\frac{d\theta}{dt} = \frac{h}{x\sqrt{x^2+y^2} }\frac{dx}{dt}$

Hence the relationship between dθ/dt, the rate of change of θ with respect to time, and dx/dt, the rate of change of x with respect to time is $\frac{d\theta}{dt} = \frac{h}{x\sqrt{x^2+y^2} }\frac{dx}{dt}$

Learn more on the rate of change here: brainly.com/question/11883878

8 0

2 years ago

A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Intern

Gemiola [76]

Answer:

23 are on plan B
13 on plan B text
13/23 is the probability a customer on plan B will text

Step-by-step explanation:

Assuming the categorization is mutually exclusive (customers either text or internet, but not both), the total number of Plan B customers in the sample is the sum of those in each category:

.... 13 + 10 = 23 . . . . plan B customers

The problem statement tells you

... 23 plan B customers text

Since 13 out of 23 customers surveyed use the phone for text, the empirical probability that a plan B customer will use the phone for texting is ...

... 13/23 . . . . probability that text is used most

3 0

3 years ago

Read 2 more answers

What is 3^-2? Use the property for negative

madreJ [45]

Answer:

Step-by-step explanation:

A negative exponent raisies a number to 1/the power.

3^2=9

3^-2=1/9

5 0

3 years ago

Given triangle SLC = DEN,SL=8x+12,LC=x+9,DE=18+2x and DN=7x-4 find the perimeter of triangle SLC

ahrayia [7]

Answer:

Bsskdn ndndjdeiknn

Step-by-step explanation:

Djjddnnddndjxnndndnddbnxnxx c. XX cnddn

6 0

3 years ago