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3 years ago

The sum of two numbers is 62 . The smaller number is 16 less than the larger number. What are the numbers?

2 answers:

6 0

39 and 23!

If we broke down the problem to 62=x+y (y being the smaller number) we can solve from there.
If y is the smaller number, then y= x-16
Therefore if we plug that back in we get 62=x+x-16 which simplifies to 62=2x-16.
Now we just solve for x which is the bigger number and we get 39. But we still have y which is 16 less so we subtract 16 from 39 to get 23.

Artyom0805 [142]3 years ago

5 0

23 and 39

23 + 39 = 62
39 - 23 = 16

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What is the slope of the line containing (-2, 5) and (4,-4)?

Pachacha [2.7K]

Answer:

Option C is correct.

Step-by-step explanation:

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3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

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4 years ago

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arsen [322]

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3 years ago

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goldenfox [79]

Answer:

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You see, we regrouped 1 from 5⅙ to make sure that the top mixed number had a higher value than the bottom mixed number, so it is much easier to work with.

I am joyous to assist you anytime.

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4 years ago

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