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Alexandra [31]
3 years ago
7

In △ABC,c=71, m∠B=123°, and a=65. Find b. A. 101.5 B. 117.8 C. 123.0 D. 119.6

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that c=71, B=123°, and a=65. Plugging in the values:

b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).

Simplifying gives:

b^2 = 14293.0182932.

Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).

This means that the Option D is the correct choice!!!

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A girl has 20 marbles

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1/2 * 9/19 * 4/9 * 7/17 * 3/8

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3 0
3 years ago
The finishing times, in minutes, for running marathons have an unknown distribution with mean 297 and standard deviation 32 minu
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Answer:

The mean for the sample mean distribution is 297 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?

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7 0
3 years ago
If you put $1,000 in a savings account that pays 5% interest compounded continuously, how much money will you have in your accou
ivann1987 [24]
Given:
Principal = 1,000
rate = 5%
term = 10 years

The continuous compound formula is: A = Pe^rt

e is a function in the calculator. However, if you are doing manual computation the value of e is 2.7183 (Napier's number)

A = 1,000 (2.7183)^0.05*10
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4 0
3 years ago
Read 2 more answers
Pls help on this question ​
sveticcg [70]

Answer:

178.571429

Step-by-step explanation:

Area of square - 10*10 m = 100m

Area of the semicircle = Diameter = 10m, so the radius = 5m

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=> Area = 22/7 * 25

=> 78.5714286

Area of figure = 78.5714286 + 100 = 178.571429

Hope it helps :)

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3 years ago
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