Please help me!

What is the volume of a sphere with radius of 16 inches?

matrenka [14]

Volume =
$\frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {16}^{3} \\ = 17148.59 \ {in}^{3}$

The answer is the first option.

Hope this helps. - M

8 0

3 years ago

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Alexia ran 3 laps around her neighborhood. Each lap is 1 3/8 miles. How many miles did Alexia run? find your answer using additi

Naddik [55]

Answer:

4 1/2

Step-by-step explanation:

8 0

2 years ago

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Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.

RSB [31]

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.

4 0

2 years ago

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir

Tomtit [17]

Point, line, and plane are the undefined expression that relinquish the starting location for geometry. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words. This procedure must eventually abort; at some stage, the definition must use a word whose meaning is accepted as intuitively clear. Because that meaning is accepted without definition, we refer to these words as undefined terms. These terms will be used in defining other terms. Although these expressions are not formally defined, a brief intuitive dialogue is needed. A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point constitute position only. A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has boundless length, zero width, and zero height. Any two points on the line name it. The symbol ↔ written on top of two letters is used to denote that line. <span>A plane may be contemplating as an infinite set of points creating a connected flat surface extending infinitely far in all directions. It is usually represented in drawings by a four‐sided figure. A single capital letter is used to designate a plane.</span>

4 0

2 years ago

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In which place is the digit in the number 5,341 that would be changed to form 5,841? How do the values of the two numbers compar

Colt1911 [192]

We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.

Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8 to form the number 5,841.

This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.

Subtraction of 5,341 from 5,841 also yields 500.

Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.

3 0

2 years ago