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bekas [8.4K]
3 years ago
11

What is the volume of a sphere with diameter 5.5 m, to the nearest cubic meter?

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

The formula for volume of a sphere is V = 4/3 x PI x r^3

r = half the diameter = 5.5 /2 = 2.75

Using 3.14 for PI, the formula becomes:

V = 4/3 x 3.14 x 2.75^3

Volume = 87.07

Rounded to the nearest cubic meter, answer is A. 87 m^3

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Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other, and the
Iteru [2.4K]

Answer:

Speed of a= 21 miles/hr

r = Speed of b= 7 miles/hr

Speed of a = 3r

Step-by-step explanation:

The cyclist are 112 miles apart

Time traveled by two = 4 hours

Speed of a = 3 * speed of b

If a cylcles 3 times More than b, then a will cover 3*distance of b

But speed = distance/time

Time = 4hours

Total distance=112

a = 3b

3b + b = 112

4b = 112

b = 112/4

b = 28 miles

a = 3b

a = 3*28

a = 84 Miles

They bought traveled 4 hours

Speed of a = 84miles/4 hours

Speed of a= 21 miles/hr

Speed of b = 28miles/4 hours

Speed of b = 7 miles/hr

5 0
3 years ago
What is the slope of the line shown below?
Dima020 [189]

Answer:

A. -2/7

Step-by-step explanation:

slope = rise/run = 2/(-7) = -2/7

3 0
3 years ago
Help!<br> Factor the expressions. <br> x2 + 6x − 40 =
Natalija [7]
The answer to this is (x-10) (x+4)
8 0
3 years ago
Read 2 more answers
△RQS is similar to △TQU by the AA similarity postulate. What is the measure of angle R ?
natta225 [31]

Answer:

  60°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  ∠R + 88° + 32° = 180°

  ∠R = 60° . . . . . . subtract 120° from both sides of the equation

3 0
3 years ago
Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin
jonny [76]

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span>                                                       2x + y = 92</span>

The value of y in terms of x is equal to,

<span>                                            y = 92 – 2x</span>

The area is the product of the two sides,

<span>                                                                        A = xy</span>

Substituting,

<span>                                                            A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

<span>                                                            0 = 92 – 4x  ; x = 23</span>

Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

4 0
3 years ago
Read 2 more answers
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