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hodyreva [135]
3 years ago
13

In right triangle ABC, sin M = cos 61. If 0

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Note: Consider we need to find the value of M if 0^\circ

Given:

In a right triangle ABC,

\sin M=\cos 61^\circ

To find:

The value of M.

Solution:

We have,

\sin M=\cos 61^\circ

It can be rewritten as:

\sin M=\cos (90^\circ-29)^\circ

\sin M=\sin 29^\circ                   [\because \sin (90^\circ-\theta)=\sin \theta]

On comparing both sides, we get

M=29^\circ

Therefore, the value of M is 29 degrees.

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A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0
2 years ago
An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create
neonofarm [45]

Answer:

The answer is 161.5

Step-by-step explanation:

Step-by-step explanation: The top half of the kite is 6 in times 17 in because 8.5 + 8.5 = 17 so its 102. Half of 102 is 51 so 51 is the area of the top half. The bottom half is 13 in times 17 in which equals 221. Half of 221 is  110.5. Then 110.5 + 51 = 161.5... So your answer is 161.5 square inches.

7 0
2 years ago
URGENT!! GEOMETRY DILATIONS AND TRANSLATIONS!!! BRAINLIEST WILL BE GIVEN !! BOGUS ANSWERS WILL BE BLOCKED !!
nekit [7.7K]

The answer is the same as it was for your other posting of this question at brainly.com/question/10712448

dilation magnitude: 2/3

translation: 5 to the left and 4 down

4 0
2 years ago
Solve the system:<br> x + 5y = -15<br> -2x -10y = 30*
Ksju [112]

Answer:

x= -5/3 y-5

Step-by-step explanation:

6 0
3 years ago
A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to bu
Vlada [557]

Answer:

6 hours

Step-by-step explanation:

6 inches burns at rate .8 inches in 1 hour

to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle

4.8 inches / .8 inches in 1 hour  = 6 hours

7 0
2 years ago
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