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melomori [17]
2 years ago
8

A group of eight grade 11 and five grade 12 students wish to be on the senior prom committee. The committee will consist of thre

e students. What is the probability that only grade 12 students will be elected, assuming that all students have an equal chance of being elected?
Mathematics
1 answer:
BaLLatris [955]2 years ago
7 0
5/13*4/12*3/11=5/143 I believe
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Multiply 2.25 by each answer and 750 and write down the total next multiply 3.25 by each answer lowest to highest once you get a product that is higher than you writen down answer play around with the numbers until you get the exact amount D 760 2.25 times 760 is 2460 by 3.25 its 2570 you save 10 dalloars and are able to pay for the food and band
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The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
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Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

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Applying the Pythagorean Theorem

c^2=a^2+b^2

where

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a and b are the legs

we have

c=10\sqrt{5}\ units

a=b=x\ units

substitute

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500=2x^2\\x^2=250\\x=\sqrt{250}\ units

Simplify

x=5\sqrt{10}\ units

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2 years ago
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Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole
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Answer:

a = 5 and b = 12

Step-by-step explanation:

<u>Step 1: Find angle B</u>

<em>Angle C = 90°</em>

<em>Angle A = 22.6°</em>

<em>Angle B = B</em>

<em>All angles in a triangle are equal to 180°.</em>

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

<u>Step 2: Find the value of side AC 'b'</u>

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<em>Adjacent = b</em>

<em>Angle A = 22.6°</em>

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

<u>Step 3: Find the value of side CB 'a'</u>

<em>Hypotenuse = 13</em>

<em>Opposite = a</em>

<em>Angle A = 22.6°</em>

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

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25% of 150 = 37.5
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