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Aneli [31]
3 years ago
6

Solve the question and check the solution. Express numbers as integers or simplified fractions. 5(m+5)=7m+9

Mathematics
1 answer:
Yanka [14]3 years ago
7 0

Answer:

m = 8

Step-by-step explanation:

5(m+5)=7m+9   (distribute & evaluate parenthesis)

5(m)+5(5)=7m+9

5m + 25 = 7m + 9  (move all m-terms to one side and constants to the other)

5m - 7m = 9 - 25  (evaluate both sides)

-2m = -16 (divide both sides by -2)

m = (-16) / ( -2) = 8

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In the triangle below, 4/5 represents which ratio?
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<span><u><em>Answer:</em></u>
sin (C)

<u><em>Explanation:</em></u>
<u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>\frac{opposite}{hypotenuse}
<span>
cos (theta) = </span>\frac{adjacent}{hypotenuse}
<span>
tan (theta) = </span>\frac{opposite}{adjacent}<span>

<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>\frac{4}{5}<span>

<u>Second option:</u>
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>\frac{4}{5}
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

</span>
8 0
3 years ago
Read 2 more answers
Please help 40 points
Natasha2012 [34]

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

4 0
3 years ago
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Using the Pythagorean theorem:

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8100 + 8100 = x^2

16,200 = x^2

X = √16,200

X = 127.28 feet.

Rounded to the nearest foot = 127 feet.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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