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2 years ago

What is the angle of rotation for point G mapped to point H?

Mathematics

1 answer:

alina1380 [7]2 years ago

5 0

The rotation of point G to point H is an illustration of a circular movement

The rotation that maps point G to point H is 72 degrees clockwise

<h3>How to determine the rotation rule?</h3>

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The angle of rotation is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a clockwise direction

Hence, the rotation that maps point G to point H is 72 degrees clockwise

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One triangle has side lenghts of 6,8,10. A similar triangle has a perimeter of 60. What are the lengths of the similar triangle?

mamaluj [8]

Answer:

Lengths of second triangle are 15,20,25

Step-by-step explanation:

Given:

One triangle side lengths = 6 , 8 ,10

Similar triangle perimeter =60

To Find:

Lengths of similar triangle = ?

Solution:

A similar triangle is a one in which there is a particular increase in lengths of the sides by a common ratio. This ratio is same for all the sides and by these the similar triangle is formed.

As Lengths are increased by a common ratio so the perimeter of the triangles which are similar will also increase by that

So for this problem if we find out the perimeter increase then we can find out sides

Now For 1st triangle whose sides are given

Lets its perimeter is perimeter 1

Now

Perimeter 1 =sum of length of all sides

= 6 + 8 +10

= 24

Now

Ratio = Perimeter of second triangle / Perimeter 1

= 60 / 24

= 2.5

So perimeter is increased by a factor of 2.5

We can find the length by multiplying each length of triangle 1 with this 2.5

Now Length of first side = 6*2.5

= 15

Length of second side = 8 * 2.5

=20

Length of third side = 10 * 2.5

= 25

Lengths of second triangle are 15,20,25

5 0

3 years ago

Make a table for f(x) = 2.5x − 10.5 from 2-6. I just need the numbers

myrzilka [38]

Answer:

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−

Step-by-step explanation:

5 0

2 years ago

R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.

ELEN [110]

Answer:

$\sf (x+2)^2+(y-2)^2=2$

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

$\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)$

$\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)$

$\sf =(-2, 2)$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

$\sf \implies (x-(-2))^2+(y-2)^2=r^2$

$\sf \implies (x+2)^2+(y-2)^2=r^2$

To find $\sf r^2$ , simply substitute one of the points into the equation and solve:

$\sf \implies (-3+2)^2+(1-2)^2=r^2$

$\sf \implies 1+1=r^2$

$\sf \implies r^2=2$

Therefore, the equation of the circle is:

$\sf (x+2)^2+(y-2)^2=2$

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