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sergiy2304 [10]
3 years ago
13

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

V = 3646.5 miles^3

Step-by-step explanation:

The circumference formula applies here.  C = 2pi*r, and so r = C / [2pi].

Thus, r = 60 miles / 6.28 = 9.55 miles.

The volume formula is next.  V = (4/3)pi*r^3.

With r = 9.55 miles, this comes to     V = (4/3)(3.14)(9.55)^3 miles^3, or

V = 3646.5 miles^3

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Find the measure of the missing angles.
Yuri [45]

Answer:

d = 102° , e = 56° , f = 22°

Step-by-step explanation:

d and 102° are vertically opposite angles and congruent , so

d = 102°

e and 56° are vertically opposite angles and are congruent , so

e = 56°

f, d and e lie on a straight line and sum to 180° , then

f + d + e = 180° , that is

f + 102° + 56° = 180°

f + 158° = 180° ( subtract 158° from both sides )

f = 22°

3 0
2 years ago
Look at the diagram and the following information to find the value of x.
lisov135 [29]
A. PT and TQ are equal since they are both bisected by T. So, set them equal to each other you get the equation:
5x+3 =48
5x=45
x=9
8 0
3 years ago
A scale drawing has a scale of 3in:1ft. What is the scale factor?​
Hitman42 [59]

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

8 0
3 years ago
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
sveta [45]

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

5 0
3 years ago
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the
Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0
2 years ago
Read 2 more answers
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