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Evgen [1.6K]
2 years ago
15

ZA Round your answer to the nearest hundredth.

Mathematics
1 answer:
Ahat [919]2 years ago
5 0

Answer:

<em>A = 48.81°</em>

Step-by-step explanation:

<u>Angles in a Right Triangle</u>

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

\displaystyle \tan A=\frac{8}{7}

Using the inverse tangent funcion:

\displaystyle A=\arctan\frac{8}{7}

Calculating:

A = 48.81°

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One positive number exceeds three times another positive number by 5. The product of the two numbers is 68. Find the number
kati45 [8]

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

6 0
3 years ago
Choose one of the factors of 1331x3 − 8y3.
daser333 [38]
B is the answer hope this helps :)
7 0
2 years ago
Read 2 more answers
Which coordinate is a solution to the inequality​
Virty [35]

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

~

(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

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(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

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(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

~

∴ C) (3 , 2) is your answer.

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4 0
2 years ago
It is difficult to manage data. For example, it is common for customers to move and for companies to go out of business. This is
Fantom [35]

Answer:

a) Data degradation

Step-by-step explanation:

These are the options for the question.

a) Data degradation

b) Data rot

c) Data security

d) Scattered data

From the question, we are informed about how difficult it's to manage data. For example, it is common for customers to move and for companies to go out of business. This case is an example of Data degradation. Data degradation can be regarded as

corruption of computer data, or gradual alterations of data, and this could be as a result of accumulation of failures in storage devices that store the data, this failure can be critical one or non-critical one

5 0
3 years ago
Due to gravity, objects weigh three times as much on Earth as they do on Mercury.
SpyIntel [72]

Answer:

If an object on Mercury weighed 25lb, it would weigh 75lb on Earth

(25 * 3 = 75)

The answer is b  

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6 0
3 years ago
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