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3 years ago

About how much does the area of a circle increases when the radius increases from 3cm to 5cm?

Mathematics

2 answers:

aleksklad [387]3 years ago

8 0

C is probably the best choice

kvv77 [185]3 years ago

5 0

Answer:

The answer would be C

Step-by-step explanation:

The area of a circle:

A = πr²

dA/dr = 2πr

We are given dA/dt, using the chain rule

dr/dt = dA/dt x dr/dA

dr/dt = 1 x 1/2πr

When circumference = 2 cm:

2 = 2πr

r = 1/π; putting this value of r

dr/dt = 1/2π(1/π)

dr/dt = 1/2 cm/s

The radius is increasing at a rate of 1/2 cm/s.

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Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inch

Vinvika [58]

Answer:

$b(V) = \frac{V}{108}$

Step-by-step explanation:

The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function, where V is the volume of the prism.

So, V = 18² × h = 324h

⇒ h = $\frac{V}{324}$ .......... (1)

Now, given that the total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box.

Therefore, the box having 4 square prism will have height

b(h) = 3h

⇒ b(V) = $3 \times \frac{V}{324}$ {From equation (1)}

⇒ $b(V) = \frac{V}{108}$ (Answer)

8 0

3 years ago

⅓ x 27 in a simplest form

Umnica [9.8K]

9
27/3=9 so that’s the simplest form

3 0

3 years ago

Read 2 more answers

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.)

mixer [17]

Answer:

volume of the sphere = $33.493m^3$

Step-by-step explanation:

Given:

$Diameter= 4 m$ , $Radius = 4/2 =2 m$

Volume of a sphere= $\frac{4}{3} *\pi* r^3$

= $\frac{4}{3} *\pi* 2*2*2$ : $\pi =3.14$

= $\frac{4}{3} *3.14*2*2*2$

= $1.33*3.14*2*2*2$

= $33.493m^3$

The volume of the sphere with the radius of 2 m is $33.493m^3$

6 0

3 years ago

Answer the 5 questions Listed below Please Show your Work

Zolol [24]

(6 1/3) / (5/6) = (19/3) / (5/6) = 19/3 * 6/5 = 114/15 = 38/5

3 - 7^2 + 3 * 4^2
3 - 49 + 3 * 16
3 - 49 + 48
- 46 + 48
2

(7b - 2) / (-a + 1)....a = -2, b = 3, c = -1/3
where is he c in this equation ? Because if I just use a and b, my answer is not an answer choice

(7b - 10) / (a - 1)...a = -1, b = 5, c = -2/3
same as before...where is the c in this equation

V = (pi) r^2* h
V = (pi)(5^2)(7)
V = (pi)(25)(7)
V = 175(pi)

5 0

3 years ago

The data in the table shows the population P(x) of a particular species at time x. Determine a linear model and predict the popu

mrs_skeptik [129]

The regression equation that shows the population P(x) is given as follows:

P(x) = 3.02x + 7.81.

With the model, the prediction for the population in year 88 is of 273.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0,7), (5,17), (23,84), (31, 107), (45, 143), (60, 182), (68, 217), (79, 249).

Inserting these points in the calculator, the equation is given by:

P(x) = 3.02x + 7.81.

The prediction for the population in year 88 is given by:

P(88) = 3.02(88) + 7.81 = 273.

More can be learned about line of best fit at brainly.com/question/24808124

#SPJ1

6 0

2 years ago