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devlian [24]
3 years ago
15

Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base.

Then add the two products together and divide the sum by 2. Is Simon correct? Complete the explanation.
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

Yes, Simon is correct.

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height

Therefore, Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h

Area \; of \; trapezoid = \frac {1}{2} * (b_{1}h + b_{2}h)

Area \; of \; trapezoid = \frac {b_{1}h + b_{2}h}{2}

Hence, to find the area of a trapezoid, you will multiply the height by the top base and the height by the bottom base. Then you add the two products together and divide the sum by 2.

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kirza4 [7]
To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
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In this case:
1 - 9 / -1 - 3 = -8 / -4 
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Now we can use the point-slope formula:
y - y1 = m(x - x1) 

y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3

In order to make 3x - y = 6 in slope intercept form, we must isolate y.

- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1 
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6 0
3 years ago
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How do I find the surface area of a cylinder?
Inga [223]

Answer:

SA = 2πr² + 2πrh

Step-by-step explanation:

2πr² will provide the surface area of the top and bottom of the cylinder

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2 years ago
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Can't answer without a picture
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the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface
AURORKA [14]
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2\pir²

The diameter is the sum of 2 radii, hence r=8

D=12
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With the raduis the area can be found
A= 2\pir²
A=2\pi8² 
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If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 \pi/10.99
cost/inch =11.64\pi
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The pie costs 36 cents per square inch
5 0
3 years ago
an instructor grades on a curve by assuming that grades on a test are normally distributed. If the average grade is 80 and the s
sweet [91]

Step-by-step explanation:

According to normal distribution curves following a bell curve formula, it is followed that

34% of people will lie between Mean point and one positive standard deviation

34% of people will lie between Mean point and one negative standard deviation

14% of people will lie between Mean point and two positive standard deviation

14% of people will lie between Mean point and two negative standard deviation

2% of people will lie between Mean point and three positive standard deviation

2% of people will lie between Mean point and three negative standard deviation

Now following this principle, we are given that mean score is 80 and standard deviation is 8, hence the interval for grades would be;

Grade A ; Score greater than 96

Grade B : Score greater than 88 and less than or equal to 96

Grade C : Score greater than 80 and less than or equal to 88

Grade D : Score greater than 72 and less than or equal to 80

Grade E : Score greater than 64 and less than or equal to 72

Grade F : Score less than 64

3 0
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