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3 years ago

Please help me with this and I need the work shown out please

Mathematics

1 answer:

givi [52]3 years ago

5 0

Please note that you have to use the reason vert. opp. angles to find x, hope it helps:)

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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:

The picture of the question in the attached figure

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

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

4 0

3 years ago

Someone please help, having trouble with this

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

it describes how much the shown graph extends left and right.

Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

pls brainliest

8 0

2 years ago

What is the number of the parking space covered by the car?

makkiz [27]

Answer:

Step-by-step explanation:

If you look at the numbers upside down they are 86, 88, 89, 90 and 91 so the number that is covered by the car is 87.

6 0

2 years ago

X-6 = 10 X= Answer here

77julia77 [94]

Answer: x = 16

Step-by-step explanation:

X-6 = 10

X = 10 + 6

X = 16

6 0

3 years ago

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How many ways can you arrange the letters in the word Vacuum?

Flura [38]

Answer:

The answer is 360 ways

Step-by-step explanation:

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3 years ago

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