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Mariana [72]
3 years ago
9

Math answer homework​

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

2:15 p.m.

Step-by-step explanation:

Starting time                1:40 p.m.

Time on subway       <u>+0:17 </u>

Time off subway          1:57 p.m.

Time walking            <u>+0:18 </u>

Time at apartment       1:75

When the minutes are more than 60, you subtract 60 from the minutes and add 1 to the hours.

 1   :75

+1<u> - :60 </u>

  2 :15 p.m.

Daniel arrived at the apartment at 2:15 p.m.

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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
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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

so

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

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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

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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

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

simplify

Factor 6

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

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