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gayaneshka [121]
4 years ago
7

Given the triangle below, what is mB, rounded to the nearest tenth?

Mathematics
1 answer:
adell [148]4 years ago
7 0

Answer:

Option D. 82.8°

Step-by-step explanation:

From the figure attached,

By using Cosine rule in the given triangle ABC,

AC² = AB² + BC ² - 2(AB)(BC)cosB

(12)² = (8)² + (10)² - 2(8)(10)cosB

144 = 64 + 100 - 160.(cosB)

144 = 164 - 160.(cosB)

160.(cosB) = 164 - 144

cosB = \frac{20}{160}

cosB = \frac{1}{8}

B = \text{cos}^{-1}(0.125)

B = 82.82°

B ≈ 82.8°

Therefore, Option D. will be the answer.

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There are 480 sophomores and 520 juniors in a high school. Find the ratio of juniors to sophomores
kow [346]

Answer:

13:12, 13 to 12, or 13/12

Step-by-step explanation:

520:480

Divide both numbers by GCF (40)

13:12

4 0
3 years ago
Cuál es el valor absoluto de/ 9-15 /
Tanzania [10]
Hi there! The anser is 4 

First we need to find the value between the stripes. Hence, we need to subtract 15 from 9. Then we get 9 - 15 = - 4. Finally we have to realise that the absolute value stripes make the value insides those stripes positive. So, we get the following:
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6 0
3 years ago
Solve the problem shown above^^
malfutka [58]

Answer:

Step-by-step explanation:

Since the lengths of the shelves are given in cm and the answer is to be expressed in cm, then let's convert the length of the whole board from 2.5 m to cm. Since there are 100 cm in a m, then multiply 2.5 by 100 to get 250 cm. Now let's start with the expressions for the shelves. The lengths of all the shelves are based on the length of the first shelf. You can usually tell which object is the main one because it is mentioned the most number of times. The first shelf is mentioned 3 times so that is the main shelf that the measurements of all the other shelves are based upon. Let's call the first shelf x. The second shelf is 18 cm longer than twice the length of the first so the second shelf is 2x + 18.

The third shelf is 12 cm shorter than the first so the third shelf is x - 12.

The last shelf is 4 cm longer than the first shelf so the last shelf is x + 4. Since he needs to use all 250 cm of the board, we add all the shelves together and set them equal to 250 cm:

x + 2x + 18 + x - 12 + x + 4 = 250 and

5x + 10 = 250 and

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x = 48. The first shelf is 48 cm long. But we need the length of the second shelf. The expression for the second shelf is 2x + 18, so 2(48) + 18 = 114 cm.

8 0
4 years ago
Mary is buying several items that cost $128.25 total. She is using a store coupon for 35% off her purchases, She has to pay 4% s
nikklg [1K]

Answer:

she would have to pay about $88.49

Step-by-step explanation:

128.25x.35=44.8875

128.25-44.8875=83.3625

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4 0
3 years ago
-29 - A = -58<br> What is A?
m_a_m_a [10]

Answer:

-29

Step-by-step explanation:

5 0
3 years ago
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