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Delvig [45]
2 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]2 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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If f(x)=3x^2-2 and g(x)=4x+2 what is the value of f+g 2
Papessa [141]

Answer:

20

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 3x² - 2 + 4x + 2 = 3x² + 4x

Substitute x = 2 into f(x) + g(x)

(f + g)(2) = 3(2)² + 4(2) = (3 × 4) + 8 = 12 + 8 = 20

5 0
3 years ago
2)<br>1.) 3x+3y 6<br>2x+2y=4​
katrin [286]

Answer:

y este egal cu 1

x este egal cu un

Step-by-step explanation:

2 plus 2 egal cu patru( adica 2 ori unu plus 2 ori 1)

La fel si la cea cu 3.

Sper că te am ajutat!!!

8 0
3 years ago
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What is the volume of the prism that can be constructed from this net?
Elden [556K]
The aswer is A hop it helps 
5 0
3 years ago
A tool set is on sale for $424.15.The original price of tthe tool set was $499.00. What percent of the original price is the sal
Jet001 [13]

Answer:


Step-by-step explanation:

The sale price is out of the original price so do 424.15 / 499.00 to find what it is out of in decimal form. Multiply your answer by 100 to find the percentage.

So:

424.15 / 499.00 =0.85

0.85 x 100 = 85

So the answer would 85%.

Hope this helps!


3 0
3 years ago
It costs 4 tokens to park in a garage for an hour. how many hours can you park with 30 tokens?
babunello [35]

Read the question carefully: it costs 4 tokens to park in a garage for an hour.

We will apply the unitary method to solve this question

It costs 4 tokens to park in a garage for 1 hour

Find how many hours can park in a garage for 1 token

If it costs 4 token to park in a garage for 1 hour

Then it will cost 1 token to park in a garage for 1/4 hour

Step2:

With 20 token we can park in a garage for (1/4) * 20

= 5 hours

So, we can park for 5 hours with 20 tokens.

Another method

If we take twenty tokens and divide them into groups of four, we will find that we are left with five groups of tokens. Each group of tokens represents an hour of parking time. This will give us five groups, or five hours, total.

So, we can park for 5 hours with 20 tokens
5 0
3 years ago
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