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Sladkaya [172]
3 years ago
7

If a polygon is rotated, which of the following characteristics of the polygon will always be the same? Select ALL that apply.

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.

This tell us that the main measures of any rotated shape will not change.

Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.

And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.

The only thing that changes will be the coordinates of our polygon.

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A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a
IgorLugansk [536]

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x----->  the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

so

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

6 0
3 years ago
Rewrite log; x = 4 in exponential form.
aliya0001 [1]

Answer:

Step-by-step explanation

(B) x=34

7 0
4 years ago
A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and
Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units.  The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0
3 years ago
The product of two rational numbers is 34.77. If one of the numbers is 6.1, what is the other number?
erik [133]

Answer:

5.7

Step-by-step explanation:

6 0
3 years ago
Select the correct answer.
Leviafan [203]

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

f(x) = 2^x

g(x) =2^x + 6

Required

Compare g(x) to f(x)

Substitute f(x) = 2^x in g(x) =2^x + 6

g(x) = f(x) + 6

<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>

4 0
3 years ago
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