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Naddika [18.5K]
3 years ago
11

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

x = 10.2

Step-by-step explanation:

Here we have a right triangle with hypotenuse 11, angle 22° and adjacent side x.  Our task is to find x to the nearest tenth.

The cosine function nicely connects the hypotenuse and the adjacent side:

                 adjacent side

cos 22° = ------------------------

                     hypotenuse

We solve for the adjacent side (x) by multiplying both sides of this equation by "hypotenuse:"

x = adjacent side = 11*cos 22 = 11(0.9272 radian).

Performing the indicated multiplication, we arrive at:

x = 10.1990, or, rounded to the nearest tenth, x = 10.2.

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Answer:

exact area = 25(pi) m^2

approximate area = 78.54 m^2

Step-by-step explanation:

diameter = 10 m

radius = diameter/2 = 10 m / 2 = 5 m

area = (pi)r^2

area = (pi)(5 m)^2

area = 25(pi) m^2

area = 78.54 m^2

6 0
3 years ago
You construct a budget to determine how much money you will need to start your own catering business. You take your savings of $
tatiyna

Answer:

Compound interest is the best.

Step-by-step explanation:

Simple interest is that which is not added to the initial capital once the term of the investment or credit has expired.

Compound interest is that which is added to the initial capital at the end of the investment or credit.

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So, if Cf - Ci = I -> 3,162.22 is the compound interest.

8 0
3 years ago
Witch expression is equivalent
leva [86]

The equivalent expression of -14 - 6 is -14 - (+6)

<h3>What are equivalent expression?</h3>

Equivalent expressions are expressions that have the same value when evaluated

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

Read more about equivalent expression at

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange. Let B =
Oduvanchick [21]

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Step-by-step explanation:

R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a \frac{22}{150} chance of getting a red jelly bean.

Simplified that is \frac{11}{75}

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How many terms are in
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Answer:

4

Step-by-step explanation:

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