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marysya [2.9K]
3 years ago
9

A community park is shaped like a trapezoid with a height of 30 yd, a top base of 25 yd, and a bottom base of 33 yd. The park ha

s a circular fountain whose radius is 4 yd.
What is the area of the park without the fountain?

Use 3.14 for pi.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0
The area of the park without fountain is about 819.76 square yards.
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Find the measure of the exterior angle.
PtichkaEL [24]

Answer:

1) 128°

2) 126°

3) 108°

<h2>Question one:</h2>

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

<h2>Question two:</h2><h2></h2>

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

<h2>Question three</h2>

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

8 0
3 years ago
Please help WILL GIVE BRAINLIEST! find the missing triangle measurements
dimaraw [331]

ABC=50

DCE=65

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I hope that helps I would appreciate brainliest if possible :)

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3 years ago
Find the 62nd term of the arithmetic sequence -27, -21, -15, ...
kaheart [24]

Answer:

a = -27

d = -21 - ( -27) => 6

a62 => a + 61 (d) +=> -27 + 61(6)

=> -27 + 366

=> 339

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Jenny's father works at the local grocery store. He just finished setting up a display of soup cans in the shape of a triangle.
Anit [1.1K]
If i’m correct, the answer is simply 48!!
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1 year ago
What is the slope of the line through (0,4) and (3,-2)?
Maru [420]

Answer:

The slope would be: -2

Step-by-step explanation:

To find the slope of these two points:

(0,4) and (3,-2)

You would have to use the formula of slope to find it.

The slope formula is:

<h2><u>y₂ - y₁  </u></h2><h2>X₂ - X₁  </h2>

So subsitute in Those two points

(0,4) would be your (x₁ , y₁)

(3,-2) would be your (x₂ , y₂)

So your formula witht he subsituted #'s in it would look like:

<h2><u>-2 - 4</u></h2><h2>3 - 2</h2>

Your answer would be:

<h2><u>-6</u></h2><h2> 3</h2>

Simplified, it is -2

<h3>So your slope is -2</h3>

<u />

8 0
3 years ago
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