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torisob [31]
2 years ago
8

Solve the right triangle.

Mathematics
1 answer:
drek231 [11]2 years ago
7 0

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite of the angles.

so, we have here now (sin(90) = 1)

b/sin(51) = c/sin(90) = 24/sin(39)

c = 24/sin(39) = 38.1363775... ≈ 38.1

b = 24×sin (51)/sin(38) = 29.63753176... ≈ 29.6

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Jordan’s father is three times as old as Jordan. The sum of their age combined is 48. How old is Jordan?
Reika [66]

Answer:

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Step-by-step explanation:

FREE FREE FREE FREEE FREEEEEEEEEEE FREEEEEEEEEEEEEEEE FREEEEEEEEEEEEEEEEEE

5 0
2 years ago
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Greg spends $0.45 on eraser and $0.30 0n a pen.how much money does greg spend
Digiron [165]

Answer:

$0.75

Step-by-step explanation:

Greg spends $0.45 on a eraser and $0.30 on a pen. How much money does Greg spend?

Well first you find the key words, (How much) which means you will be using addition in this problem. The numbers you will be adding are $0.75 and $0.30 which equals, $0.75


7 0
3 years ago
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Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p
alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093

As a consecuence, he wont foul out with probability 0.9093.

8 0
3 years ago
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7 0
3 years ago
A chef uses a circular pan with a 24-inch diameter to make a pizza. What is the area of pizza
RUDIKE [14]

Answer:

<u>The area of a pizza made in that circular pan is 452.39 inches²</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Diameter of the circular pan = 24 inches

Radius of the circular pan = 24/2 = 12 inches

2. What is the area of the pizza?

Let's use the formula of the area of a circle, this way:

Area = π * r²

Substituting with the real values, we have:

Area = 3.1416 * 12²

Area = 452.39 inches²

<u>The area of a pizza made in that circular pan is 452.39 inches²</u>

4 0
2 years ago
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