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Delvig [45]
3 years ago
5

Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Answer:

b² = a² + c² - 2ac cos B

Step-by-step explanation:

The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.

The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.

For sides a, b and c the cosine rule can be represented below

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

The equation required base on your question is

b² = a² + c² - 2ac cos B

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3 years ago
there are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. what is the tires weight in pounds?
vredina [299]
All you have to do is divide 520 by 453.592. If you do this, your answer is 1.1464 pounds. If you have to round to hundredths, your answer is 1.15 pounds. If you have to round to tenths, your answer is 1.1 pounds.
3 0
3 years ago
A dime is worth 10 pennis.Marley brought 290 pennis to the bank . How many dimes did marley get?
Julli [10]
ok so 10 pennis is 1 dime which is 10 cents ok lets go to the next number 20 pennis will be 2 dimes because its the same cents then 30 pennis will be 3 and 40 will be 4 so just divide 10 into the number of pennis or in this case you have a easy out you can just use the numbers infront of the zero since you are talking about dimes.
It would even be the same if you had 2,300 pennis you would have 230 dimes
8 0
3 years ago
The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviatio
Scrat [10]

This question not incomplete

Complete Question

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviation of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to? Assuming percentile = 95%

Answer:

0.125

Step-by-step explanation:

Assuming for 95%

z score for 95th percentile = 1.645

We find the Probability using z table.

P(z = 1.645) = P( x ≤ 7000)

= P(x<Z) = 0.95

After 7000 hours = P > 7000

= 1 - P(x < 7000)

= 1 - 0.95

= 0.05

If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is calculated as:

(P > 7000)³

(0.05)³ = 0.125

7 0
3 years ago
The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or do
enot [183]

The number of people whose hobby is reading but not riding a motorcycle is 5.

<h3>What is the relative frequency of not riding a motorcycle?</h3>

We want to calculate the number of people whose hobby is reading but they don't like riding the motorcycle,

therefore, when we look into the table we will find out that block A2 is the block that represents the number of people whose hobby is reading but not riding a motorcycle.

Hence, the number of people whose hobby is reading but not riding a motorcycle is 5.

Learn more about Relative frequency:

brainly.com/question/14610326

7 0
2 years ago
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