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charle [14.2K]
3 years ago
9

Find x A. 46–√ B. 32 C. 43–√ D. 6–√

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Answer:

  \textbf{A. }4\sqrt{6}

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}

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The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do h
vodka [1.7K]

Answer:960

Step-by-step explanation:

4 0
3 years ago
F(x) = 3x + 2<br> What is f(5)?<br><br> PLEASE HELP!!!!
abruzzese [7]
Resolving a function of any nature means determining your zeros or raizes.

The zeros of a function occur when the function is null.

Then:

f(x) = 3x - 2

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8 0
2 years ago
If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find my number.
anastassius [24]

Answer:

The number is 12

Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.

-> 3(n + 12) = <u>64 more than</u> \frac{2n}{3}

-> 3(n + 12) = 64 +  \frac{2n}{3}

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 +  \frac{2n}{3}

[Distribute]

3n + 36 = 64 +  \frac{2n}{3}

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
2 years ago
Directions: List all the factors of each number.
tatiyna

Answer:

Step-by-step explanation:

The factors of each numbers are

1) 6 = 1, 2, 3 and 6

2) 35 = 1, 5, 7 and 35

3) 19 = 1, 19

4) 39 = 1, 3, 13 and 39

5) 44 = 1, 2, 4, 11, 22 and 44

6) 64 = 1, 2, 4, 8, 16, 32 and 64

7) 56 = 1, 2, 4, 7, 8, 14, 28 and 56

8) 80 = 1, 2, 4, 8, 10, 16, 20, 40 and 80

prime numbers are whole numbers that only has two factors which are itself and one while composite numbers have more than two factors

The list of composite and prime numbers are

9) 18 composite

10) 3 prime

11) 19 prime

12) 102 composite

13) 41 prime

14) 63 composite

15) 11 prime

16) 51 composite

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3 years ago
If 37 represents an increase of 37, what does -37 represents
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Probs a decrease of 37 boiiii
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3 years ago
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