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arlik [135]
2 years ago
13

Find the area to this problem

Mathematics
1 answer:
Papessa [141]2 years ago
6 0

Answer:

254.34 in²

Step-by-step explanation:

Given:

Diameter of the circle = 18 in

To find:

Area of the circle

Solution:

Let the area be a.

First, we find the radius of the circle by dividing the diameter by 2.

This comes out to be 9 in.

Now, we apply the formula

a = \pi \times {r}^{2}

Solving, we get

a = 3.14 × (9)²

a = 3.14 × 81

a = 254.34 in²

Hope this helps! :D

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If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

5 0
2 years ago
5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is ___.
8_murik_8 [283]
Subtract these 2 equations,

5x-5x +3y-y = -4-6

2y = -10

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-5 is your answer.
6 0
3 years ago
A workers regular hourly rate of pay is $13. What is the workers total pay for working 40 regulars and 3 hours overtime at a rat
ANTONII [103]

Answer:

578.50

Step-by-step explanation:

The worker worked 40 hours at 13 dollars

40 * 13 =520

Then they worked 3 hours at 13(1.5) or 19.50

3*19.50 =58.5

The total amount of money earned is regular time plus overtime

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3 years ago
A circle has the equation
Firlakuza [10]

Answer:

choice G.  (-5, 2)

Step-by-step explanation:

(x + 5)^2   +   (y - 2)^2 = 9

(x + 5)^2   +   (y - 2)^2 = 3^2

center( -5, 2)

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What is the area of the shaded Region? (Answer to the Nearest Tenth)
RideAnS [48]

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7 0
2 years ago
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