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3 years ago

What is the volume of a sphere with a radius of 8.2 ft, rounded to the nearest tenth of a cubic foot?

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer:

The answer to your question is: V = 2308.4 ft³

Step-by-step explanation:

Data

radius = 8.2 ft

π = 3.14

Formula

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

Process

1.- Substitute radius in the formula

V = $\frac{4}{3} \(3.14)(8.2)^{3}$

2.- Simplify

V = $\frac{4}{3}$ (3.14)(551.37)

V = $\frac{6925.182}{3}$

V = 2308.4 ft³

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Written as a simplified polynomial in standard form, what is the result when (3x-1)^2 is subtracted from 4?

nikklg [1K]

Answer:

3(x-1)x(3x+1)

Step-by-step explanation:

3 0

2 years ago

Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns

Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

$x+y=32000$ ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

$0.04x+0.07y=2000$ ...(ii)

From (i) and (ii), we get

$0.04x+0.07(32000-x)=2000$

$0.04x+2240-0.07x=2000$

$-0.03x=2000-2240$

$-0.03x=-240$

Divide both sides by -0.03.

$x=\dfrac{-240}{-0.03}$

$x=8000$

Put x=8000 in (i).

$8000+y=32000$

$y=32000-8000$

$y=24000$

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0

3 years ago

EXTRA POINTS PLS HELP WILL MARK BRAINLIEST :)

disa [49]

Answer:

1 is a parallelagram

Step-by-step explanation:

its a parallelogram because al the sides are equal and its leads to an positive angle measurement

4 0

3 years ago

Read 2 more answers

30 POINTS!! “Use the figures to help you complete the statements” Help pls

ELEN [110]

Answer:

6

4

12

72

Step-by-step explanation:

Base is 6 in

Height is 4 in

To get the area of a triangle is 1/2 Base × Height

Being 1/2(6)(4) = 12

To get the area of a rectangle is Length × Width being 9 × 8 = 72

5 0

2 years ago

Read 2 more answers

The midpoint of AB is M(7. – 7). If the coordinates of A are (8,-6), what are the

IRISSAK [1]

Answer: B = (6,-8)

Step-by-step explanation:

first the midpoint formula is $(\frac{x1+x2}{2},\frac{y1+y2}{2})$

then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:

$\frac{8+x}{2}=7$

then solve it like an equation:

$8+ x=14\\x=6$

then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:

$\frac{-6+y}{2} =-7$

then solve it like an equation:

$-6+y=-14\\y=-8$

∴ the answer is x=6, y= -8

which is expressed as a point, B(6,-8)

3 0

3 years ago