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2 years ago

7

Sharon is buying a circular rug for her living room. The diameter of the rug is 8 feet. Which measurement is closest to the area

of the rug in square feet?
A. 200.96 square feet C. 25.12 square feet
B. 50.24 square feet D. 12.56 square feet

1 answer:

Vanyuwa [196]2 years ago

6 0

Answer:

B) 50.24 ft^2

Step-by-step explanation:

radius =1/2 diameter = 4

area = Pi(r^2) = 3.14(4^2) = 3.14(16) = 50.24

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38. BLIMP A blimp travels 300 miles in

dybincka [34]

Answer:

40

Step-by-step explanation:

d=rt

300=r(7.5)

300÷7.5=r

40=r

8 0

3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumferen

Andreas93 [3]

Answer:

The <em>volume</em> of the cone-shaped sculpture is equal to 114.631 ft³.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Geometry</u>

Circumference Formula:
$\displaystyle C = 2 \pi r$

<em>r</em> is radius

Volume Formula [Cone]:
$\displaystyle V = \frac{\pi r^2 h}{3}$

<em>r</em> is radius
<em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given</em>.

<em>h</em> = 8 ft

<em>C</em> = 23.236 ft

<u>Step 2: Find Radius </u><u><em>r</em></u>

[Circumference Formula] Substitute in variables:
$\displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\\end{aligned}$
Solve [Equality Properties]:
$\displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\& \rightarrow r = 3.7 \ \text{ft} \\\end{aligned}$

<u>Step 3: Find Volume</u>

[Volume Formula - Cone] Substitute in variables:
$\displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\& \rightarrow V = \boxed{ 114.631 \ \text{ft}^3 } \\\end{aligned}$

∴ the <em>volume </em>of the artist-created sculpture is 114.631 ft³.

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Learn more about Geometry: brainly.com/question/27732359

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Topic: Geometry

6 0

2 years ago

If x can be any integer, what is the greatest possible value of the expression 1-x^2

iren [92.7K]

Answer:

The greatest value of the expression 1-x^2 is 1

Step-by-step explanation:

Here, we want to find the greatest value of the integer 1-x^2

We should understand that when we talk of integers, we are referring to whole numbers.

We should understand that 0 is also an integer.

Apart from zero, any other integer we substitute for x will give the function a negative value. Only 0 will make sure that the value remains positive and as such gives the function its highest possible value

So therefore;

1-0^2 = 1-0 = 1

Hence, the greatest possible value of the expression is 1

7 0

2 years ago

How many cells are in the human body

NARA [144]

Answer:

There should be 37.2 trillion, however this is not a finite number and there might be more or less depending on the person.

Step-by-step explanation:

3 0

3 years ago

Volume?????????????????????

KATRIN_1 [288]

Answer:

2340

Step-by-step explanation:

LxWxH

20x22x3(2)

=440x6

=2340

7 0

2 years ago

Read 2 more answers