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Lorico [155]
3 years ago
5

Find the value of x. Round the length to the nearest 10th the diagram is not shown to scale

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0
In the given diagram:
measure angle DAB + measure angle BAC = 90 degrees
we are given that measure angle DAB = 10 degrees
Therefore:
measure angle BAC = 90 - 10 = 80 degrees

Now, triangle ABC is a right-angled triangle which means that we can use the trigonometric functions.
The function that we will use is:
cos theta = (adjacent) / (hypotenuse) where
theta = 80 degrees
adjacent = 500
hypotenuse is "x" that we want to calculate.

Substitute to get x as follows:
cos 80 = 500 / x
x = 500 / cos 80 = 500 / 0.1736 = 2879.4 m

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loris [4]

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

7 0
3 years ago
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lara31 [8.8K]
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Which of the following transactions results in a decrease in the return on assets ratio?
posledela

The options are

A. Increasing the sales price of the products sold.

B. An increase in the net profit margin ratio.

C. Purchasing land by signing a long-term note payable.

D. Collecting cash from an account receivable.

<u>Answer:</u>

Purchasing land by signing a long term note payable will decrease the return on assets ratio will result in a decrease in the return on assets ratio.

Option C

<u>Explanation:</u>

Return on assets ratio shows the profit percentage that a company or business entity earns in accordance to its overall resources. It is calculated by the following formula,

\text{ Return on assets }= \frac{ \text{Net income} }{ \text{Average total assets} }

Purchasing a land will increase the average total assets of the company. Here in accordance with the formula, if the denominator increases and the numerator remains the same, it will ultimately decrease the quotient i.e. the return on assets.

<u>Other options:</u>

A. Increasing the sales price of the products sold - This will increase the net income which would result in the increase of ROA.

B. An increase in the net profit margin ratio - This will also increase the net income which would lead to the increase of ROA.

D. Collecting cash from an account receivable - accounts receivable will  neither affect the net income nor the average total assets. Therefore, the ROA will remain the same.

7 0
3 years ago
3) -x + 5 = -11x + 25
konstantin123 [22]

Answer:

x=2

Step-by-step explanation:

-x+5=-11x+25

add +x on both sides -11x+x =-10x

-10x+25=5

subtract 25 on both sides

you get -10x=-20

x=2

6 0
3 years ago
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3?
Pie
The answer to your question is y=3x+2
4 0
3 years ago
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