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CaHeK987 [17]
3 years ago
11

PLEASE HELP ME THANK YOU. ALSO PLEASE INCLUDE EXPLANATION

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Given

the lengths of the 3 sides of a triangle

Find

the angle opposite the longest side

Solution

Strategy: make use of the Law of Cosines, which relates an angle and the three sides of a triangle.

... a² = b² + c² -2bc·cos(A)

... cos(A) = (b² + c² - a²)/(2bc) . . . . . . . solve for cos(A)

... A = arccos((b² + c² - a²)/(2bc))

Fill in the given values and evaluate.

... A = arccos((55² + 50² - 90²)/(2·55·50)) = arccos(-2575/5500)

... A ≈ 117.9°

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vova2212 [387]

Answer:

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Step-by-step explanation:

Given:

Theodore took out an 80/20 mortgage on a $191,000 home.

To Find:

The  amount financed under the first mortgage = ?

Solution:

Here

80/20 mortgage means pay 20% of the amount is made as down payment and 80% is borrowed as finance amount of home value.

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Here, we need to find finance amount from $191,000

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7 0
3 years ago
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given the following sequences : -17 -25 -33 -41... write an explicit formula and find the 28th term in this sequence
Murrr4er [49]

Answer:

a(n) = -8n -9

a(28)  = -233

Step-by-step explanation:

a(n) = a(1) + (n - 1)d

n is the nth term, a(1) is the first term, d is the common difference.

*d = -25 - (-17) = -8

a(n) = -17 + (n - 1)(-8)

      = -17 + (-8n + 8)

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For the 28th term

a(28) = -8(28) - 9

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3 0
3 years ago
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eduard

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Step-by-step explanation:

1) the ration of the given sequence is -2=-10/5=20/(-10)...

2) the 15th term can be calculated according to the formula:

a₁₅=a₁*(ratio)¹⁴, then

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