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3 years ago

Acellus Find the measure of the arc. с D А 146° E B MAC = [? ]°

Mathematics

1 answer:

Olenka [21]3 years ago

7 0

Answer:

The measure of arc AC length is 90 degrees

Step-by-step explanation:

Here, we want to get the measure of the arc AC

From what we have, the angle at the middle facing this arc is a right angle

A right angle is of the size 90. degrees

with respect to the diagram, the angle at the center is equal to the measure of the arc facing it

Thus, we can conclude here in this case that the measure of arc AC is 90 degrees

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Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles l

dem82 [27]

Answer:

The other dimension of the pasture (width) is $1.625\ mi$

Step-by-step explanation:

In this problem I assume that the pasture has the shape of a rectangle.

Let

x -----> the length of the pasture

y -----> the width of the pasture

we know that

The area of the pasture (rectangle) is equal to

$A=xy$

we have

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3 years ago

A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the

notsponge [240]

Answer:

The area of the rectangular field is 20,000 square meters.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

Distance = 6 kilometers

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

600 = 2 * 2x + 2 * x

600 = 4x + 2x

600 = 6x

x = 600/6 = 100 meters ⇒ 2x = 200 meters

Step C: Let's calculate the area of the rectangular field

Let's recall the formula of the area of a rectangle:

A = Length * Width

A = 200 * 100

A = 20,000 m² (square meters)

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3 years ago