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3 years ago

Find the value of each variable.

1 answer:

8 0

There's no way to pick the correct choice without seeing the system
of equations for which the pair of numbers is the solution. With no
equations, these are just pairs of numbers, and they're all beautiful.

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If h = 8 units and r = 2 units, then what is the approximate volume of the cone

Mumz [18]

V=π * r^2 * h/3 = π * 2^2 * 8/3 ≈ 33.51032 or about 34 units^2

8 0

4 years ago

Read 2 more answers

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

4 years ago

Liam is a tyre fitter.

maks197457 [2]

Answer:

3 tires

Step-by-step explanation:

56 minutes divided by 4 is 14. 42 minutes divided by 14 is 3 :)

7 0

3 years ago

Read 2 more answers

Describe two different ways that you could find the product 8 x 997 using mental math. Find the product and explain why your met

jolli1 [7]

One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.

Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8.

5 0

3 years ago

HELPP PLEASE DUE TOMMOROW PLEASE ANSWER QUESTION B

marin [14]

Answer:

28 non-blue marbles.

Step-by-step explanation:

Initial probability of choosing a blue marble = 4/12

Let the number of non-blue marbles to be added be x.

$\frac{4}{12+x} =\frac{1}{10}$