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3 years ago

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Explain why 90 is not a square number

1 answer:

anygoal [31]3 years ago

8 0

90 is not a square number because you cannot multiple two of the same number to get 90.

For example, 4 is a square number, because 2 x2 = 4

Likewise, 9 is a square number (3 x3), and 81 is a square number (9 x 9)

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Select the correct answer. Sean and Colleen are raking leaves in their yard. Working together, they can clear the yard of leaves

Lera25 [3.4K]

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

$\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0$

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

6 0

3 years ago

Have some free points OwO

hram777 [196]

Answer:

YAY

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

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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6 0

1 year ago

Michelle built a fence around her square garden. If Michelle used 72 yards of fencing to enclose her garden, what is the length

Ierofanga [76]

The length of each side is 18 yards

4 0

3 years ago

The ratio of coretta's weight to Justin's weight is 3:4. If corretta gains 5 pounds the ratio of their weights will be 4:5. How

Verdich [7]

Answer:

100 pounds

Step-by-step explanation:

4 0

2 years ago