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3 years ago

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

2pi x 4 x 72/360 = 8/5 pi

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The volume of a cylinder is 4,000pi in.³ .The

miskamm [114]

Answer:

The answer to your question is r = 4 in

Step-by-step explanation:

Data

Volume = 4000 π in³

height = 250 in

radius = ?

Process

1.- Look the formula to calculate the volume of a cylinder

Volume = πr²h

2.- Solve for r²

r² = Volume / πh

3.- Substitution

r² = 4000π / π(250)

4.- Simplification

r² = 16

r = √16

5.- Result

r = 4 in

8 0

3 years ago

Find g'(t) for the function g(t) = 7/t^4

Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

$g(t)= \dfrac{7}{t^4}$

The derivative will be calculated as:-

$g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}$

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

3 0

2 years ago

CAN SOMEONE HELP ME WITH PATTERN 1

jeyben [28]

1- 6
2- 4
3- 2
And that’s all I can tell you? It’s decreasing so I don’t think 10 would have any stars unless if negative numbers are allowed

5 0

3 years ago

Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a

Goryan [66]

Answer:

30%
Unlikely

Step-by-step explanation:

<u>The balls - multiples of 3 are:</u>

3, 6 and 9

<u>The probability of a multiple of 3 is:</u>

3 out of 10 or
P = 3/10 = 30%

30% probability is in the range 0%-50% so this event is unlikely

5 0

3 years ago

Read 2 more answers

Find the derivative of f(x) = 2x^2 - 4x +3

ivolga24 [154]

Explanation

$2x^2-4x+3$

When taking derivatives of polynomials, we primarily make use of the power rule.

Power rule.

$\begin{gathered} f(x)=x^n \\ \text{then} \\ f^{\prime}(x)=nx^{n-1} \end{gathered}$

also, the derivate of a sum is the sum of the derivates

hence

$\begin{gathered} g(x)=f(x)+h(x)+\ldots z(x) \\ g^{\prime}(x)=f^{\prime}(x)+h^{\prime}(x)+\ldots.z^{\prime}(x) \end{gathered}$

Step 1

apply:

$\begin{gathered} f(x)=2x^2-4x+3 \\ f^{\prime}(x)=2\cdot2x^{2-1}-4(1)x^{1-1}+ \\ f^{\prime}(x)=4x^{}-4(1)x^0+3^0 \\ f^{\prime}(x)=4x^{}-4(1)(1) \\ f^{\prime}(x)=4z-4 \end{gathered}$

therefore, the answer is

8 0

1 year ago