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Jobisdone [24]
3 years ago
9

What is the radius of the circle ? (X-3^2+(y-4)^2=49

Mathematics
1 answer:
vodomira [7]3 years ago
5 0

Answer:

7 units

Step-by-step explanation:

The formula for a circle is: (x-x_1)^2+(y-y_1)^2=r^2 , where (x_1, y_1) is the center of the circle and r is the radius.

Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.

Thus, the answer is 7 units.

Hope this helps!

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Mario travels 180 miles in 2.5 hours. How many miles will he travel in one hour, if the rate is not changed? Explain.
Furkat [3]
I think it’s 40 but I’m not really sure or it’s around 80 sorry
7 0
3 years ago
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What is the surface area of this figure?
disa [49]

Answer:

72 sq. mi

Step-by-step explanation:

Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.

Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.

Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.

7 0
3 years ago
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What type of proportion is shown in 12 : 4 = 24 : 8?​
Dmitry [639]

Answer:

3:1

Step-by-step explanation:

7 0
3 years ago
5) Mrs. Bell went bowling again. Her bowling scores were 100, 172, 85, and 92. She wants
Alex73 [517]

Answer: She needs to bowl 120 or more on her next game.

Step-by-step explanation:

8 0
3 years ago
Identify the area of segment MNO to the nearest hundredth. HELP PLEASE!! I don't understand it!
katrin2010 [14]

Answer:

  13.98 in²

Step-by-step explanation:

I don't understand it, either.

Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.

__

The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.

The area of a segment is given by the formula ...

  A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.

Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...

  A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²

Rounded to hundredths, this is ...

  ≈ 13.98 in²

3 0
3 years ago
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