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kvasek [131]
4 years ago
5

Can someone help please? I'll give brainliest to the best answer.

Mathematics
1 answer:
pychu [463]4 years ago
7 0
A. What angle of rotation maps P onto P'?

Answer: By 40 degrees. Why? Since the angle from P' to P is 2h. and 40min, We can count that as a "slice of pie". Now, since it was all the way to 24 hours, we just have to add that all up.

2h. 40 min. = 160 mins.

24 hrs. = 1440 mins.

1440 mins. = pizza
160 mins. = slice

1440 ÷ 160 = 9

That means, there are 9 slices. Now...

Entire pizza = 360°

360° ÷ 9 = 40°

Voila. 40°.

B.What are the x- and y- coordinates of P' to the nearest thousandth?

Answer: The x- coordinate is 0.833, and the y- coordinate is 0.666. Why? WELL. That's a bit tricky.

Every square side in the coordinate plan is approximately 0.333 unit. Y is two units, and X is 2 and a half units.

0.333 x 2 = 0.666

0.333 x 2.5 = 0.833

C. What translation rule maps P onto P'?

Answer: Rotation around a point. If we saw earlier, it's in a 360° circle. If the North Star is the vertex, then we know the translation rule is a rotation around the point, specifically, the North Star. That way, P will go onto P'.

I hope this helped. :)
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4 years ago
If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?
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All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

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Now, let's do the circle!

Area of a circle = πr² ...      (r = radius)

<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!

<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

_______________________________________

<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!

<u>228 + 56.5 = 284.5 </u>

284.5 square feet is our answer!

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Answer:

Answer below

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Point D: (-6,-1)

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32.both of their ideas are correct whether it is to replace x or y first it doesn't matter only one can be replaced to find the value of the other.

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