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3 years ago

(a) area of the shaded regionand(b) perimeter of the shaded region

Mathematics

1 answer:

Anika [276]3 years ago

5 0

A=24.56
Work circle= 3.14 times 4 Sq/4= 12.56
Trapezoid= 1/2 (4)(2+4)

B.16.75
OR 12.28+ Sq rt of 20

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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

Nonagon

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

Hexagon

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

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2 years ago

What are the x and y intercepts of the equation: 10x + 4y = -20?

snow_tiger [21]

Answer:

x= (-2, 0) y=(0, -5)

Step-by-step explanation:

or you could say -2 and -5

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2 years ago

The surface area of a cube is 24 square inches. What is the side length of the cube?

Alex777 [14]

Answer:

2 inches

Step-by-step explanation:

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Naya [18.7K]

Answer:

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2 years ago