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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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Consider the piecewise-defined function given by the graph. What are these values?
maksim [4K]

Answers:

f(-3) = -1

f(-1) = 2

f(3) = 5

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

Explanations:

Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.

Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1

Through similar steps, you should find that f(-1) = 2 and f(3) = 5

Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.

6 0
3 years ago
Read 2 more answers
Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

6 0
3 years ago
HELP ASAP DUE IN 4 MINS. Pablo will spend at most $34 on gifts. So far, he has spent $19. What are the possible additional amoun
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Answer:

c> 34-19

Step-by-step explanation:

C> 15

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3 years ago
Please help! view the picture :) <br> due soon
arlik [135]

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3 years ago
What does x equal in the equation -6x +10x = 20?
Sliva [168]

Answer:

5

Step-by-step explanation:

-6x +10x = 20

4x=20

x=20/4

x=5

3 0
3 years ago
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