Simplify 7-2 + 2(4 divide 1/2)
2 answers:
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Answer:
The maximum possible area of the pasture is 26,450 feet square.
Step-by-step explanation:
Let us assume the width of the rectangular area = m ft
and the length of the area = k ft
Also assume: ( one side with k units IS NOT FENCED)
So, the total perimeter of the fencing is:
2 m + k = 460
or, k = 460 - 2m ........ (1)
Now, AREA OF THE RECTANGULAR PORTION = Length x Width = k x m
Put k = 460 - 2m
We get: A = m (460 - 2m)
or, A = 460 m - 2m²
We need to find the maximum for the parabolic function A = 460 m - 2m²
The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0
A (max) = where a = -2, b = 460, c = 0
=
A max = 26,450 sq ft.
The maximum possible area of the pasture is 26,450 feet square.
Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ =
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ =
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5