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Gnoma [55]
3 years ago
7

If sin α=(12/13), and cos α=(5/13), then tan α = ?

Mathematics
1 answer:
Olin [163]3 years ago
4 0
Sin α  =  12/13             opposite/hypothenue
cos α  =  5/13              adjacent/hypothenue
tan α  =  12/5                opposite/adjacent
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When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
What is the greatest common factor of 30b2, 80b2, and 20b3
aivan3 [116]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
What number should be added to both sides of the following equation to solve for x?
son4ous [18]

Answer:

7 is your answer

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes
guajiro [1.7K]

Given :

A morning truck can carry no more than 1480 pounds of cargo.

Brian loaded 640 pounds into the truck already.

He is loading boxes that weigh 70 pounds.

To Find :

How many boxes can he out into the truck.

Solution :

Weight left for carrying cargo, W = 4180 - 640 pounds

W = 3540 pounds

Number of boxes of 70 pounds cargo he can carry in truck is :

n =\dfrac{3540}{70}\\\\n = 50.57 ≈ 50 .

Therefore, number of box they can carry is 50.

Hence, this is the required solution.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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