Answer:
Decagon
Step-by-step explanation:
We can use the general equation to determine the sum of interior angles:
Since we know the sum of interior angles (I.A.) is 1440°, we must figure out n - the number of sides and so:
Since n=10 this means that it is a 10 sided shape meaning it's a decagon.
Answer:
V= 18.75 cm^3
Step-by-step explanation:
- The formula for finding the volume for <em>any</em> given shape is V = L x W x H.
- So, multiply 2 1/2 cm x 2 1/2 cm x 3 cm.
- This gives you 18.75 cm^3
P = 2(L+W) where L = Length and W = Width.A = L*WYou are given that P = 300m and A = 5000 sq.m. so plug these values into the two equations thus:300 = 2(L+W)5000 = L*WNow you have a system of equations with two unknowns.Solve equation 1a) for LL = 150-W now substitute this into equation 2a) and solve for W.5000 = (150-W)*W Simplify this.W^2-150W+5000 = 0 This quadratic equation can be solved by factoring, so...(W-100)(W-50) = 0So W = 100 or W = 50Now we need to find L and we can use equation 1b.L = 150 - W and, if W = 50m, then:L = 100m or, if W = 100m, then:L = 50m.The dimensions of the garden are: 100m by 50m
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