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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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Rename 3/4 and 9/10 using the least common denominator.
klio [65]

Answer:

15/20 and 18/20

Step-by-step explanation:

Least common denomintor of 3/4 and 9/10 = least common multiple of 4 and 10

multiples of 4: 4, 8, 12, 16, 20

multiples of 10: 10, 20

Least common denominator = 20

Rewrite fractions: 15/20 and 18/20

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3 years ago
If the segment OP is dilated by a scale factor r=2, what is the length of segment OP?
Zigmanuir [339]
The answer is 4 I think
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Where is the point (-2 -3) located in the coordinate plane
labwork [276]

Answer:

It's located in the third quadrant

(X,Y)

Step-by-step explanation:

5 0
3 years ago
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a class with 30 students had an average score of 80 on a test. A class with 20 students had an average score of 90 on the same t
snow_tiger [21]

The average score of all the students in both classes is 84.

<h3>How to calculate the average?</h3>

The class with 30 students had an average score of 80 on a test. The total score will be:

= 30 × 80

= 2400

A class with 20 students had an average score of 90 on the same test. The total score will be:

= 20 × 90

= 1800

Total scores = 2400 + 1800 = 4200

Number of students = 20 + 30 = 50

The average score will be:

= Total score / Total students

= 4200 / 50

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Learn more about average on:

brainly.com/question/24313700

#SPJ1

8 0
1 year ago
What is the slope in the linear equation y = 2x=1?
Bumek [7]

Answer:

The slope of the line is 2

Step-by-step explanation:

y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2

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