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Aliun [14]
3 years ago
11

what is the area in square centimeters of the trapezoid below the height is 6.4 and the base is 12.9 and 8.6

Mathematics
2 answers:
Leona [35]3 years ago
4 0
Hello!
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The area in square centimeters is 68.8.
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Have a great day!
Lelu [443]3 years ago
3 0

Answer:

The area of given trapezoid is 68.8 cm²

Step-by-step explanation:

Given: A trapezoid with height 6.4 cm and parallel base is 12.9 cm and 8.6 cm.

We have to find the area of area of this trapezoid.

Area of trapezoid = \frac{1}{2}\times \text{sum of parallel sides}\times height

Given : Height = 6.4 cm

and parallel base is 12.9 cm and 8.6 cm.

Substitute, we have,

Area of trapezoid = \frac{1}{2}\times (12.9+8.6)\times 6.4

Simplify, we have,

Area of trapezoid = \frac{1}{2}\times 21.5\times 6.4

Area of trapezoid = 68.8 cm²

Thus, The area of given trapezoid is 68.8 cm²

           

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Between the cows and the chickens , there are 16 eyes and 26 feet. How many chickens does she have and how many cows?
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Answer:

Step-by-step explanation:

Looks like a system of equation type situation.  To figure it out you wan to set up equations for each thing we know, so eyes and feet.  First you want to make sure you have how many eyes and feet cows and chickens have.    of course they each have 2 eyes while cows have 4 feet and chickens have 2.  Now we can set up the equations.

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Similarly for feet we can set up 4o+2h and if you plug in however many cows and chicens there are you'd get the number of legs.  and the problem tells us this equals 26, so 4o+2h = 26

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2o+2h=16

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THere are a few ways to do this.  if you treat o and h like x and y, you could graph both equations and see where they intersect.  Doing this you could make either variable x, so then the other would be y, but you have to make sure all os become the same one and all hs do as well.  

I think it would be easier in general to make one equation equal one of the variables, then replace it in the other equation.  I will show you this method.  First, I want to take the first equation and set it equal to o.

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o + h = 8 we want o by itself so subtract h from both sides

o = 8 - h and there we go.

Now we want to replace o in the other equation with this.

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4(8-h) + 2h = 26  Now just solve for h

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Now we plug THIS back into the first one.  

o = 8 - h

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And that should solve it.  with 5 cows and 3 chickens how many eyes and feet are there?

16 eyes and 26 feet, which is exactly what we want.  

Do keep in mind this won't always work, sometimes there is no answer, or every answer works.  You will be able tot ell through this process though.  

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