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QveST [7]
3 years ago
12

Find mZB. Round to the nearest degree. 11 B В 7. 15

Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

---------------------------------

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

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River C is 100 miles longer than River D. If the sum of their lengths is 5,570 ​miles, what is the length of each​ river?
lyudmila [28]

Let the Length of River D be : P

Given : River C is 100 Miles Longer than River D

⇒ Length of River C = P + 100

Given : The Sum of Both Rivers is 5570 Miles

⇒ P + (P + 100) = 5570

⇒ 2P + 100 = 5570

⇒ 2P = 5570 - 100

⇒ 2P = 5470

⇒ P = 2735

⇒ Length of River D is : 2735 Miles

⇒ Length of River C is : (P + 100) = (2735 + 100) = 2835 Miles

7 0
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In ΔABC, the measure of ∠C=90°, AB = 86 feet, and CA = 61 feet. Find the measure of ∠A to the nearest degree
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Step-by-step explanation:

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3 years ago
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IgorC [24]

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Step-by-step explanation:

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3 years ago
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Brilliant_brown [7]

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3 years ago
Use the graph that shows the solution to f(x)=g(x) .
n200080 [17]

Answer:

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2.  x=0

Step-by-step explanation:

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Using cross products

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Subtract 1 from each side

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Factoring

What number multiplies to 3 and adds to -4

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