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zepelin [54]
3 years ago
8

Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his

backyard, he has a circular vegetable garden whose radius is 3 m. What is the area of the backyard without the garden? Use 3.14 for pi.
Mathematics
2 answers:
Paraphin [41]3 years ago
7 0

I just got finished taking the test. I was confused with the previous answer. I didnt know if the answer was 170 or 141.74. I got an 80, the answer was 141.74, just clearing that up.

-Steel Jelly

svet-max [94.6K]3 years ago
3 0
The area of the trapezoid would be 
<span>(10 m) (15m + 19m)/2 = 170m^2. </span>

<span>The area of the circle would be pi*(3m)^2 </span>
<span>= (3.14)(9m^2) = 28.26 m^2. </span>

<span>Subtract the 28.26 from the 170.00 and you get 141.74...</span>
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The probable number of prople sent to US emergency rooms by 2090 can be between 22,050 and 23,100

Step-by-step explanation:

Total sent to US emergency room by 2010= 21000

The estimated increase in the rise of cases = 5 to 10% by 2090

Final numbers in 2090

Hence the final numbers in 2090 would be 5 to 10% more than the total cases in 2010

Lower limit= 5% of 21000= 1050

Hence lower limit of cases in 2090= 21000+1050= 22050

Upper limit of cases in 2090= 10% of 21000= 21000+2100= 23,100

The number would lie anywhere between 22050 and 23,100 in 2090

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3 years ago
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sp2606 [1]
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Answer: with what

Step-by-step explanation:

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Agata [3.3K]

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5

4 0
3 years ago
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Oxana [17]

We know angle P is 90 degrees because of Thales Theorem, and angle N is 60 degrees. Because the angles in a triangle have to add up to 180 degrees, angle PMN has to be 30 degrees.

Angle QMO is half of angle PMN, so it's 15 degrees. Angle MQO is equal to angle QMO because the radii make Triangle OQM isosceles, so angle MQO is 15 degrees.

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3 years ago
Read 2 more answers
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