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4 years ago

8

the senior class has 412 students. they are assigned to different homerooms. there are 28 students in the smallest homeroom and

the remaining 12 homerooms have the same number of students. how many students are in each of the remaining 12 homerooms?

1 answer:

Grace [21]4 years ago

8 0

32 in each homeroom. and so i dont give you the answer... you would do
412 - 28 = 384 then 384/12= 32

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Fifty multiplied by the quantity twenty divided by a number n is greater than or equal to two hundred fifty

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4 is the correct answer

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Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the pro

ikadub [295]

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15) Combine like terms on the left

14/18 = 15/(x + 15) Cross multiply

14*(x + 15) = 18 * 15 Simplify the right

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x + 15 = 270 / 14

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3 years ago

a circular pizza that is 10 inches in diameter is cut into 8 equal slices. what is the area of one of the slices? round to the n

olga nikolaevna [1]

The area of one slice is roughly 14.13

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3 years ago

There is a balcony that forms part of a circle around a stage, and they need to put up a safety railing. How long of a railing d

alexandr1967 [171]

A sector is a <u>part</u> of a <u>circle</u> that is formed by two<em> radii,</em> and an <em>arc</em>. So that the length of the <em>safety railing</em> required is 31.4 feet.

A sector is a <em>part </em>of a <u>circle</u> that is formed by two <u>radii</u>, and an <u>arc</u>, thus forming a <em>central</em> angle.

Thus the required <em>length</em> of safety railing can be considered as the <u>arc</u> of the<em> sector. </em>

So that;

<u>length</u> of an <u>arc</u> = (θ / $360^{o}$ ) * 2 $\pi$ r

where θ is the <u>measure</u> of the <em>central angle</em> of the sector, and r is the <u>radius</u> of the sector.

From the given question, θ = 45°, and r = 40 feet.

So that,

<u>length</u> of the<em> safety railing </em>= (45° / $360^{o}$ ) * 2 * 3.14 * 40

= 0.125 * 2* 3.14* 40

<u>length</u> of <em>safety railing</em> = 31.4

Therefore, the <u>length</u> of the <em>safety railing</em> required is 31.4 feet.

For more clarifications on the length of an arc, visit: brainly.com/question/2005046

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2 years ago

The area of a trapezoid is

horrorfan [7]

Answer:

<h2>The answer is 15cm</h2>

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

$A = \frac{1}{2} (a + b)h$

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

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Substitute the values into the above formula and solve for b

That's

$230 = \frac{1}{2} ( 8 + b) 20$

Reduce the fraction with 2

That's

$230 = (8 + b) \times 10$

Expand the terms

That's

$230 = 80 + 10b$

$10b = 230 - 80 \\ 10b = 150$

Divide both sides by 10

We have the final answer as

<h3>b = 15cm</h3>

Hope this helps you

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3 years ago