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Vikki [24]
3 years ago
15

What is the volume of a sphere that has a diameter of 18 in.? Use 3.14 to approximate pi and express your answer in hundredths.

Mathematics
1 answer:
leonid [27]3 years ago
4 0

<span> A) Diameter = 18"
Circumference = pi x Diameter = pi x 18 = 56.52"
Area = pi x radius^2 = pi x 81 = 254.34 sq. inches

B) Radius = 5 cm
Circumference = pi x Diameter = 10pi cm
Area = pi x radius^2 = 25pi square cm

C) Area = 64pi square cm
Radius = 8 cm
Diameter = 16 cm
Circumference = pi x Diameter = 16pi cm

OR (in case you wanted it exactly as you wrote it)

Area = 64 square cm
Radius = 4.51 cm
Diameter = 9.03 cm
Circumference = pi x Diameter = 28.35 cm

D) Diagonal = Diameter = sq root of (a^2 + b^2) = sq root (81+144) = 15 cm
Circumference = pi x Diameter = 47.10 cm
Area = pi x radius^2 = 23.55 square cm </span>

<span>
</span>

<span>Hope I helped</span>

<span>Don't Forget to say thanks</span>

<span>
</span>


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Answer:

The sum of 7 and x.

Step-by-step explanation:

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Which of the following represents the sum of the polynomial below (-4x^5+7x^3+3x)+(2x^4+3x^3+8)​
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The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

========================

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box
andrew-mc [135]

The radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

<h3>What is the Radius of a Circle?</h3>

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = 7\frac{5}{6} inches

Therefore:

Radius of the circle = 1/2(7\frac{5}{6})

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= 3\frac{11}{12} inches.

Therefore, the radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

Learn more about radius of a circle on:

brainly.com/question/24375372

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RSB [31]

Answer:

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