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3 years ago

75.2% of 130 what is the answer and work

Mathematics

1 answer:

Ainat [17]3 years ago

8 0

Answer:97.76

Step-by-step explanation:x=97.76

Explanation:

130 - 100%

x - 75.2%

130

⋅

75.2

100

97.76

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Anna007 [38]

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3 years ago

The sum of the interior angles of a polygon is 1080 degrees. How many sides does the polygon have?

postnew [5]

9514 1404 393

Answer:

Step-by-step explanation:

The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...

sum of angles = 180°(n -2)

Filling in the given value and solving for n, we get ...

1080 = 180(n -2)

6 = n -2 . . . . . . divide by 180

8 = n . . . . . . . . add 2

The polygon has 8 sides.

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3 years ago

Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap

bazaltina [42]

Answer:

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

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

Step-by-step explanation:

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

<em>The circumference of a quarter of circle is equal to</em>

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

substitute the given values

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

$C=6\pi\ cm$

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

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

$AC=\sqrt{288}\ cm$

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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3 years ago

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AleksandrR [38]

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3 years ago

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lina2011 [118]

Answer:

it is the first choice

Step-by-step explanation:

-4+2x>-4

solve for x

add four to both sides to get the 2x alone

2x> 0

divide the 2 from both sides to get the x alone

x>0

answer: x>0

hope this helps!

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