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Gelneren [198K]
1 year ago
8

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

o they need if the radius of the circle is 40 feet, and the arc takes up 45°? Use 3.14 for pi.
Mathematics
1 answer:
alexandr1967 [171]1 year ago
6 0

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\pir

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

#SPJ1

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ollegr [7]

Answer:

Each person have to pay $67,237

Step-by-step explanation:

Amount each person would pay = Total amount of debt/ Size of Population

= 22000000000000/327200000

= 67237. 164

Approximately $67,237

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2 years ago
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
Please help!!! Will give brainliest
AlladinOne [14]

Answer:

option C

Step-by-step explanation:

option C is the correct answer of this question.

<em>plz </em><em>mark</em><em> my</em><em> answer</em><em> as</em><em> brainlist</em><em> plzzzz</em><em> vote</em><em> me</em><em>.</em>

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5 0
2 years ago
SIMPLIFY
faust18 [17]
Are you sure the options are what u have written above? because sqrt of 5x=sqrt of 5x,
sqrt of 20x=2•sqrt of 5x,and sqrt of 80x= 4•sqrt of 5x..
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3 years ago
Factor completely 5ax2 − 20x3 2a − 8x. (a 4x)(5x2 2) (a 4x)(5x2 − 2) (a − 4x)(5x2 2) (a − 4x)(5x2 − 2).
antiseptic1488 [7]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

5x²(a − 4x) + 2 (a − 4x)

Take (a - 4) common, then we have

(5x² + 2) (y − 4x)

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

More about the polynomial link is given below.

brainly.com/question/17822016

8 0
2 years ago
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