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Yanka [14]
3 years ago
7

A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image dur

ing the rotation?
A. 1 time
B. 3 times
C. 12 times
D. 6 times
Mathematics
1 answer:
lianna [129]3 years ago
8 0

The image of the regular hexagon coincides with the pre-image 6 times during rotation.

A regular hexagon is a polygon that has six equal sides and six equal angles.

In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.

Learn more about regular polygon here:

brainly.com/question/1592456

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You have a new pool and want to know it's volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can t
MrRa [10]

Answer:

769 cubic ft

Step-by-step explanation:

Its volume:

Find the volume of a cylinder of radius 7 ft and length 5 ft:

The basic formula for his volume is V = πr²h.  In this case, the volume is:

V = 3.14(7 ft)²(5 ft) = 769 cubic feet of water.

3 0
3 years ago
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no m
allsm [11]

Answer:

1.99c + 59 ≥ 75, where c ≥ 8.04

Step-by-step explanation:

8 0
3 years ago
(1) the diameter is 20 inches whats the radius? And whats the circumference?
Alecsey [184]

(1) the diameter is 20 inches whats the radius? And whats the circumference?

Radius is half the diameter, Answer: 10 inches

Circumference is pi times the radius, Answer: 10π inches

I won't bother with the approximation, though this one is easy, 31.4159 inches.  I'll leave the rest of the calculator work to you if necessary.

(2) the diameter 11 inches whats the radius? And whats the circumference?

Radius half, Answer: 5.5 inches.   Circ: 5.5π inches

(3) the diameter 3.5 inches whats the radius? And whats the circumference?

Radius, 1.75 inches.  Circ: 1.75π inches

8 0
3 years ago
A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b
konstantin123 [22]

Answer:

\theta = 40.59^\circ

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find \theta

To do this, we use sine formula

i.e.

\sin(\theta) = \frac{Opposite}{Hypotenuse}

So, we have:

\sin(\theta) = \frac{10.8}{16.6}

\sin(\theta) = 0.6506

Take arc sin

\theta = \sin^{-1}(0.6506)

\theta = 40.59^\circ

4 0
3 years ago
What two numbers multiply to -8 and add to -4
Ronch [10]

Answer:

  -2-2√3, -2+2√3

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

  x(-4-x) = -8

  -4x -x^2 = -8 . . . . . eliminate parentheses

  x^2 +4x = 8 . . . . . . multiply by -1

  x^2 +4x +4 = 12 . . . add 4 to complete the square

  (x +2)^2 = 12

  x +2 = ±√12 = ±2√3

  x = -2±2√3

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

7 0
4 years ago
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