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Nitella [24]
4 years ago
8

Given the two expressions shown below:

Mathematics
1 answer:
kobusy [5.1K]4 years ago
7 0
<h2>Answer: A. Both are rational.</h2>

Step-by-step explanation:

Although both expressions have square roots, the result of each square root is an integer, which can be expressed as a fraction.

In this sense:

Rational numbers are all numbers that can be represented as the quotient (division) of two integer numbers. This means they can be represented as a fraction in which the denominator is nonzero.

If we solve both expressions, we will be able to see that the result is an integer that can be expressed as a fraction with two integers:

\sqrt{4} + \sqrt{25}=2 + 5= 7 The result is an integer

7=\frac{7}{1}

\sqrt{4} + \sqrt{9}= 2 + 3=5 The result is an integer

5=\frac{5}{1}

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
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Answer:

B

Step-by-step explanation:

\frac{-9 +  \sqrt{9^{2} -4 * 12* 7}}{2 * 12} \\ \frac{-9 -  \sqrt{9^{2} -4 * 12* 7}}{2 *12}

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Use the trigonometric ratios since, cosine, and tangent to answer the following questions.
Roman55 [17]

Answer:

Step-by-step explanation:

Part 1.

The sine of an angle is defined as; Opposite side/the Hypotenuse. From the right angle triangle given; sin x =5/13.

The cosine of an angle is defined as; Adjacent side/Hypotenuse. From the right angle triangle given; cos x =12/13.

The tangent of an angle is defined as; Opposite side/Adjacent side. From the right angle triangle given; tan x =5/12.

Part 2.

We use the same definitions of the trigonometric ratios above;

sin y =12/13

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Part 3.

The sin∠X and the cos∠Y are equal, their value is 5/13. The sine of angle is always equal to the cosine of its complement. In this case, ∠X+∠Y =90 hence ∠X is a complement of ∠Y.

Part 4.

The tangents of ∠X and ∠Y are inverses of each other. The tangent of an angle will always be equal to the inverse or reciprocal of the tangent of its complement.

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3 years ago
What sets does -3 belong to?
olya-2409 [2.1K]
-3 belongs to integers.
4 0
3 years ago
Read 2 more answers
Perform the indicated operation.<br> -3(-8)(-2)
seraphim [82]

Answer:

-48

Step-by-step explanation:

Multiply all numbers to get -48

6 0
3 years ago
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