(Please check the attachment for the diagram which will support the answer)
The regular pentagon is made up of five triangles as shown in the diagram. Let us now take the case of the bottom triangle ODC. We know from basic geometry that the area of any triangle is half times base times height. So, the area of the triangle will be half times DC (which is the base) times OP (which is the height).
Now, if we take into account all the triangles that make the pentagon we will get similar areas. The height of all such triangles will remain the same as OP because this is a regular pentagon.
Adding all these areas will give us the area of the pentagon which will come out to be:
Area of Pentagon=Area of Triangle OCD + Area of Triangle OBC +Area of Triangle OAB + Area of Triangle OAE + Area of Triangle OED
(Please see attachments for complete solution)
As we can see from the last attachment, the sum in the parenthesis is the perimeter of the pentagon and thus we get the area of the pentagon as
1/2 times apothem times Perimeter
$116.02 interest will be earned in 9 months
Step-by-step explanation:
The formula for simple interest is given by:
Here
P is the initial amount
r is the interest
t is the time measured in years
Given
P = $2475
r = 6.25% =
t = 9 months
Converting time into year by dividing by 12
Putting the values in the formula
Rounding off to nearest hundredth
I = $116.02
Hence,
$116.02 interest will be earned in 9 months
Keywords: Interest, simple interest
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It is 57! I hope you are satisfied.
2240x then minus 1241 and all of that over 10
7 buses, 12 vans
Explanation:
12 vans, 7 Buses
7 x 25 = 175
12 x 7 = 84
175 + 84 = 259