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Lynna [10]
3 years ago
15

Find the side labeled X in the picture, then round to 5 decimal places.

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

\displaystyle x=20.75585

Step-by-step explanation:

<u>Trigonometric Ratios</u>

There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.

The appropriate relation that we must use to find x is

\displaystyle tan34^o=\frac{14}{x}

Solving for x

\displaystyle x=\frac{14}{tan34^o}

\boxed{\displaystyle x=20.75585}

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3 0
3 years ago
How many times greater was the temperature in Miami (45) than the lowest in San Diego (25)
Greeley [361]

Answer:

<em>The temperature in Miami is 9/5 times the temperature in San Diego.</em>

Step-by-step explanation:

<u>Ratios</u>

To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:

\displaystyle \frac{45}{25}

Simplify the fraction dividing by 5:

\displaystyle \frac{9}{5}

Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.

3 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t
Hoochie [10]
Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
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Now sub this value back into an equation:
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3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
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So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped
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The equation has 1 solution
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