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Karo-lina-s [1.5K]

3 years ago

6

A baseball has a diameter of 3.7 inches. Find the volume of the baseball. Round the answer to the nearest tenth. Use 3.14 for pi

.
The volume of the baseball is about ____ in3.

1 answer:

ExtremeBDS [4]3 years ago

7 0

Answer:

Volume is about 26.5 in^3

Step-by-step explanation:

The volume = 4/3 pi r^3 where r = the radius.

the radius = 1/2 diameter = 1/2 * 3.7 = 1.85 ins.

So V = 4/3 * 3.14 * 1.85^3

= 26.5084

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a photograph is printed in the center of a piece of paper measuring 7 cm by (x + 8) cm. The photo measures 5 cm by (x +6) cm . T

Nadusha1986 [10]

The paper is 7 cm by (x + 8) cm.

A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.

The area of the border/space around the photo is 50 cm².

To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.

The area of the paper:

A = 7 · (x + 8)

The area of the photo:

A = 5 · (x + 6)

Your equation to find the area of the border around the photo is:

(7 · (x + 8)) - (5 · (x + 6)) = A

[area of paper - area of photo = area of border]

Since you know the area of the border, you can plug it in:

(7 · (x + 8)) - (5 · (x + 6)) = 50

Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)

(7x + 56) - (5x + 30) = 50

Distribute/multiply the - to (5x + 30)

7x + 56 - 5x - 30 = 50

Combine like terms

2x + 26 = 50

Subtract 26 on both sides

2x = 24

Divide 2 on both sides

x = 12

7 0

3 years ago

A survey of 500 likely voters showed that 385 felt that the economy was the most important national issue. Find a point estimate

Dovator [93]

Answer:

Option B

Step-by-step explanation:

Given that a survey of 500 likely voters showed that 385 felt that the economy was the most important national issue.

Sample size n = 500

favor who feel the ecomomy is the most important national issue x= 385

Sample proportion = $\frac{x}{n} \\=0.77$

Sample proportion would be the point estimate for population proportion of voters who feel the ecomomy is the most important national issue.

Hence the point estimate (p-hat0 for p, the population proportion of voters who feel the ecomomy is the most important national issue

is 0.77

(option B)

4 0

3 years ago

What are the remaining angle measures if the figure is to be a parallelogram?

Kobotan [32]

Answer:

We conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

Step-by-step explanation:

Given the parallelogram ABCD

We know that a parallelogram has opposite angles that are congruent.

Here,

The angles ∠A and ∠C are opposite angles.

Thus,

∠A = ∠C

The angles ∠B and ∠D are opposite angles.

Thus,

∠B = ∠D

<u>Determining the measure of angles of a parallelogram:</u>

As

∠A = 79°

We know

∠A = ∠C

Thus, the measure of the angle ∠C is:

m∠C = 79°

We know that the sum of the measure of two consecutive angles is 180°.

As ∠A and ∠D are consecutive angles, so

∠A + ∠D = 180°

substituting ∠A = 79° in the equation

79° + ∠D = 180°

subtracting 79° from both sides

79° + ∠D - 79° = 180° - 79°

∠D = 101°

Thus, the measure of the angle D is:

m∠D = 101°

We know that the angles ∠B and ∠D are opposite angles.

Thus,

∠B = ∠D

so if m∠D = 101° then ∠B is also 101°.

Therefore, the measure of angle B is:

m∠B = 101°

Hence, we conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

7 0

3 years ago

What is the horizontal change between two points on a line

Helga [31]

The horizontal change is called the run and the vertical is rise. so for example if one point to the other rises by 4 and runs by 5, the slope is 4/5. slope is
rise / run

4 0

3 years ago

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A cylinder and the cone have the same diameter of 10 inches. The height of the cone is twice the height of the cylinder, which i

Bogdan [553]

The answer maybe C ) cylinder =200pie and cone = 80pie

4 0

3 years ago

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