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Anit [1.1K]
3 years ago
13

Find the area of the shape shown below. I NEED HELP NOWWWWWW

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

<h2> 12.5 units{}^{2}</h2>

Step-by-step explanation:

Given figure : Trapezoid

Base sides,

a = 2.5

b = 7.5

Height ( h ) = 2.5

Now, finding the area:

\frac{1}{2} (a + b) \times h

Plug the values

=  \frac{1}{2 }  \times (2.5 + 7.5) \times 2.5

Calculate the sum

=  \frac{1}{2}  \times 10 \times 2.5

Reduce the numbers with G.C.F 2

= 5 \times 2.5

Calculate the product

12.5 \:  \:  {units}^{2}

Hope this helps...

Best regards!

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3 years ago
Find the average value of the function f(t)=(t-2)^2 on [0,6]
pentagon [3]

Answer:

2

Step-by-step explanation:

The "average value of function f(x) on interval [a, b] is given by:

                      f(b) - f(a)

ave. value = ---------------

                         b - a

Here f(t)=(t-2)^2.

Thus, f(b) = (b - 2)^2.  For b = 6, we get:

          f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16

For a = 0, we get:

           f(0) = (0 - 2)^2 = 4

Plugging these results into the ave. value function shown above, we get:

                      16 - 4

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The average value of the function f(t)=(t-2)^2 on [0,6] is 2.


4 0
3 years ago
I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil
RSB [31]

Answer:

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Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

The volume is equal to

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we have

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h=12\ in

substitute the values

V=\pi (3)^{2}(12)=108\pi\ in^{3} ------> exact value

step 2

Calculate  2/3 of the volume

V=(2/3)108\pi=72\pi\ in^{3}

8 0
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