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3 years ago

What is the volume of the sphere, rounded to the nearest cubic foot?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

$$V=\frac{4}{3}\pi r^3$

$$V=\frac{4}{3}\times 3.142 \times 5^3$

$$V=523.66$

$$V=524$

The volume of the sphere is 524 ft³.

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What is the value of s and the length of side BC if ABCD is a rhombus?

Natali5045456 [20]

Step 1

Find the value of s

we know that

In a Rhombus all sides are congruent

$AB=BC=CD=DA$

$AB=9s+29\\CD=10s-16$

equate AB and CD

$9s+29=10s-16\\$

Combine like term

$10s-9s=29+16\\$

$s=45\ units$

The answer Part a) is

the value of s is $45\ units$

Step 2

Find the value of side AB

$AB=9s+29$

substitute the value of s

$AB=9*45+29=434\ units$

Remember that the sides are congruent

$AB=BC=CD=DA$

therefore

the answer Part b) is

The length of the side BC is $434\ units$

4 0

3 years ago

Read 2 more answers

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Murrr4er [49]

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3 0

3 years ago

If you drive 23 miles south, make a turn and drive 39 miles east, how far are you, in a straight line, from

Rom4ik [11]

Answer:

45.27 miles

Step-by-step explanation:

Pythagorean theorem

23^2 + 39^2 = d ^ 2

d = 45.27 miles

6 0

2 years ago

Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n

Slav-nsk [51]

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

$7.2-n > 29$

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to $\leq$ or greater than equal to $\geq$ .

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

$7\dfrac{2}{10}$

Suppose the unknown number is n. Now, the differences of seven and two tenths, and this number (n) is more than twenty-nine. The more than word means, the greater than sign for equation. Thus, it can be expressed as,

$7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29$

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

$7.2-n > 29$

Learn more about the inequality equation here:

brainly.com/question/17724536

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3 years ago

What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot

pentagon [3]

Answer:

it's 10

Step-by-step explanation:

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3 years ago