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3 years ago

Question 1 Find the missing angle to the nearest degree. 36 14 degrees

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

23°

Step-by-step explanation:

Let the missing angle be x

Reference angle = missing angle = x

Opposite side to x = 14

Hypotenuse = 36

Applying trigonometric ratio, we have:

$sin(x) = \frac{14}{36}$

$x = sin^{-1}(\frac{14}{36})$

x = 23° (to the nearest degree)

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Step-by-step explanation:

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2 years ago

A manufacturing plant earned $80 per man hour of labor when it opened. Each year, the plant earns an additional 5% per man hour.

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The amount that plant earns per man hour after (t) years it open is $80 $(1.05)^{\textrm t}$ .

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3 years ago

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777dan777 [17]

Answer:

61/18

Step-by-step explanation:

Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.

Now in a rectangular prism, there's two of each congruent sides (three pairs in total).

You'll need to multiply (4/3)(3/4) by 2 because there's two of them.

This gives you (1)(2) which equals 2.

Next, take another set --> (4/3)(1/3)(2) again because there's two of them.

This gives you (4/9)(2) which equals 8/9.

Last, take the last set --> (3/4)(1/3)(2)

This gives you (1/4)(2) which equals 1/2.

Now that you have all the areas of the rectangles, add them all together.

2+8/9+1/2 which equals 61/18 inches squared.

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3 years ago