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weqwewe [10]
3 years ago
8

What would be the midpoint of a line segment with endpoints at (0,1) and (5,7) ?​

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

(2.5, 4 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then midpoint is

[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Given

(0, 1) and (5, 7), then

midpoint = [ 0.5(0 + 5), 0.5(1 + 7) ] = (0.5(5), 0.5(8)) = (2.5, 4)

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12
Serhud [2]

A circle is characterized by radius, arc, sectors and circumference

  • The length of the major arc is 18.75\pi
  • The radius of the circle is 15
  • The area of the shaded sector is 140.625 * \pi

<h3>Length of the major arc</h3>

The given parameters are:

C = 30\pi --- the circumference

\theta = 225^o -- the center angle

The length of the major arc is calculated using:

L = \frac{\theta}{360} * C

So, we have:

L = \frac{225}{360} *30\pi

Evaluate

L = 18.75\pi

Hence, the length of the major arc is 18.75\pi

<h3>The radius of the circle</h3>

The circumference is given as:

C = 30\pi

So, we have:

2\pi r = 30\pi

Divide through by 2pi

r = 15

Hence, the radius of the circle is 15

<h3>The area of the shaded sector</h3>

The area of a sector is:

A = \frac{\theta}{360} * \pi r^2

So, we have:

A = \frac{225}{360} * \pi * 15^2

Evaluate

A = 140.625 * \pi

Hence, the area of the shaded sector is 140.625 * \pi

Read more about circumference at:

brainly.com/question/15673093

6 0
2 years ago
If line HC and line GD are parallel, which statement is true?
olasank [31]

Answer:

the answer is d

Step-by-step explanation:

hopefully this helps :)

3 0
3 years ago
What is the surface area of 6x1x8​
Agata [3.3K]
48 because you multiply
5 0
3 years ago
Read 2 more answers
What do all points that lie on the y-axis have in common in terms of their coordinates?
vitfil [10]
For all points that lie on the y-axis, the x-coordinate is zero.
5 0
2 years ago
Mason used 1/5 of a liter of water to fill 1/8 of an aquarium. How much water, in liters, is required to fill the aquarium?
kkurt [141]

Answer:

\frac{8}{5} = 1 \frac{3}{5}

Step-by-step explanation:

8 x 1/5 = 8/5

5 0
3 years ago
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