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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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Marta’s fruit stand sold many oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108. Which e
lianna [129]

Answer:

<u>The equations that represent correctly the problem are A. 108 - 2x = x and D. x + 2x = 108</u>

Step-by-step explanation:

Oranges sold on Thursday = x

Oranges sold on Friday = 2x

Oranges sold on Thursday and Friday = 108

Formula for calculating the value of x :

x + 2x = 108

<u>The correct answer to this question could be alternative D. x + 2x = 108, but if we take a closer look, we'll find that there are other valid options.</u>

A. 108 - 2x = x

- 2x - x = - 108 (changing the positions and putting the variables on one side and the whole number on the other)

<u>x + 2x = 108 (multiplying by - 1 at both sides and it's also correct)</u>

B. 2x - x = 108 (This is incorrect because the sales of Thursday plus the sales of Friday equal to 108, not minus)

C. x + 108 = 2x

x - 2x = - 108  (This is also incorrect because the sales of Thursday plus the sales of Friday equal to 108, not minus)

<u>Now, let's find the solution</u>

x + 2x = 108

3x = 108

X = 36 (Oranges sold on Thursday)

2x = 72 (Oranges sold on Friday)

<u>After doing all this explanations, we found that equations A and D represent the problem. </u>

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Answer:

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Step-by-step explanation:

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The correct answer is  D

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Answer:

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y = mx + c \\ y =  -  \frac{7}{9} x + 3 \\ m =  -  \frac{7}{9}  \:  \\ and \:   \\  \: y \: intercept \:  = 3

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