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Kazeer [188]
3 years ago
5

1. Determine if the polygons are similar.

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0
Yes they’re similar. The scale factor is 2:1
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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
Nine raised to the five-minus-two power?
bonufazy [111]

Answer:

1. 9 raised to the third power is 729

2. 4 raised the the power of 1 is 1

Step-by-step explanation:

9*9= 81*9=729

4*1=4

8 0
3 years ago
Find thetwo consecutive integers whose product is 24​
malfutka [58]

Answer:

There is no solution to this equation that is an integer for x.

Step-by-step explanation:

x is the first integer, and x+1 the second

x(x+1) = 24\\x^{2} + x - 24 =0\\

x = \frac{-1+\sqrt{1^{2}+4*24}}{2} =\frac{-1+\sqrt{97}}{2}\\x = \frac{-1-\sqrt{1^{2}+4*24}}{2} =\frac{-1-\sqrt{97}}{2}

5 0
2 years ago
Write the number shown in two different ways. standard form and expanded form.<br><br><br> 79,031
olga nikolaevna [1]
Standard Form: 79,031

Expanded Form: 70,000 + 9,000 + 30 + 1
6 0
3 years ago
Read 2 more answers
The temperature in a greenhouse should be 66 degrees or higher. One​ morning, the heater stopped working. The temperature droppe
erastova [34]

Answer:

The temperature in the greenhouse was at least 68 degrees before the heater stopped working.

Step-by-step explanation:

It was at 68 then it dropped by 2 degrees.

8 0
3 years ago
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