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tatiyna
3 years ago
13

Find the volume of the solid to the nearest unit.

Mathematics
1 answer:
kondaur [170]3 years ago
6 0
Area of the cross section (Trapezium) : 

1/2 (6 + 11) x 3 = 25.5 cm²

Volume = area x height = 25.5 x 3 = 76.5 cm³
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(4x-1) /2=x+7<br>4x-1 all over 2 = x +7​
Damm [24]

Answer:

x = \frac{15}{2}

Step-by-step explanation:

Given

\frac{4x-1}{2} = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = \frac{15}{2}

7 0
3 years ago
The perimeter of a rectangle is 56 inches. The rectangle is 20 inches long. How wide is the rectangle?
Mamont248 [21]

Answer:

The answer is A 8 inches

Step-by-step explanation:

If the perimeter is 56 inches and it is 20 inches long, then you would multiply 20 by two and get 40, then you subtract 40 from 56 and get 16. Finally, you divide 16 by two and get 8. So, A 8 inches will be your answer.

5 0
3 years ago
The population of a town is 14,000 and is decreasing at a rate of 1.5% each year. Write an exponential decay equation to find th
sergejj [24]

Answer: the population after 10 years is 12036

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

A = P(1 - r)^ t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 14000

r = 1.5% = 1.5/100 = 0.015

t = 10 years

Therefore, the exponential decay equation to find the population of the town after 10 years is

A = 14000(1 - 0.015)^10

A = 14000(0.985)^10

A = 12036

8 0
3 years ago
Find the value of b. B² = 256
Jlenok [28]

B^2=256

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

B=\sqrt{256},\:B=-\sqrt{256}

\sqrt{256}

\mathrm{Factor\:the\:number:\:}\:256=16^2

=\sqrt{16^2}

=16

-\sqrt{256} =-16

B=16,\:B=-16

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

<em>by a random romanian guy</em>

7 0
3 years ago
I need help with these 3 questions ASAP. please give me a step by step explanation.
SOVA2 [1]
For number 2. The pilot flew 4 circuits and in total by the 5th day he flew 14 right?
8 0
3 years ago
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