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goldenfox [79]
4 years ago
10

The length of the hypotenuse of a right triangle is 24 inches. If the length of one leg is 8 inches, what is the approximate len

gth of the other leg?
A) 16.0 inches
B) 18.4 inches
C) 22.6 inches
D) 25.3 inches
Mathematics
2 answers:
ycow [4]4 years ago
8 0
A, use the Pythagorean theorem. A squared plus B squared equals C Squared, or A+B=C. In other words, 24 (Which is C) - 8 (Which is B)=16 (Which is A).
ExtremeBDS [4]4 years ago
5 0
We use to compute this problem the following theorem:
Pythagoream theorem:

hypotenuse²=leg₁²+leg₂²

Data:
hypotenuse=24 in
leg₁=8 in
leg₂=?

<span>hypotenuse²=leg₁²+leg₂²
</span>(24 in)²=(8 in)²+ leg₂²
leg₂²=(24 in)²-(8 in)²
leg₂²=576 in²-64 in²
leg₂²=512 in²
leg₂=√(512 in²)≈22.63 in

Answer: C) 22.6 inches. 
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2) The second option (the bag)

8) 36 desserts

9) HH, HT, TT, TH: 1/4

Step-by-step explanation:

2)

O -  Not certain, it is possible to choose a green marble

O - Certain, all the numbers in the bag are less than 100, so the one you choose must be less than 105

O - Not certain, the spinner will not always land on the 10th letter of the alphabet

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8)

Size: Small cup, Large cup, Regular cone, Waffle cone

Flavors: Vanilla, Cookies & Cream, Mint Chocolate

Toppings: Fudge, Sprinkles, Caramel sauce

With a small cup:

Small cup, Vanilla, Fudge

Small cup, Vanilla, Sprinkles

Small cup, Vanilla, Caramel sauce

Small cup, Cookies & Cream, Fudge

Small cup, Cookies & Cream, Sprinkles

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The question is asking what would the sample space be of flipping a coin 2 times. You will not always alternate (heads, tails, heads, tails) when flipping a coin. This means that all of the possibilities are HH, HT, TT, TH.

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