Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.
Example:
4+5x=24
First you would subtract 4 or add the opposite of 4 from 24.
4+5x=24
+(-4) +(-4)
—————
5x=20
Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.
1/5*5x=20*1/5 (reciprocal)
X= 4
You would use the same steps in an inequality but end up with a different sign.
If the northern side has length x and the east and west sides have length y, then the cost of the fence is
<span>C = 12x + 12y + 6y </span>
<span>and the enclosed area is A = xy. </span>
<span>12x + 18y = 6000 </span>
<span>x = 500 - 1.5y </span>
<span>A = 500y - 1.5y^2 </span>
<span>A is maximized when y = 500/3. In which case x = 250. </span>
An inequality statement is a statement where two values are NOT equal.
Answer:
1). Surface area of the prism = 112 cm²
2). Area of the sphere = 615.8 cm²
Step-by-step explanation:
1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides
Area of a triangular base =
=
= 10.5 cm²
Area of a rectangle = Length × width
Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)
= 15 + 40 + 35
= 90 cm²
Surface area of the prism = (2 × 10.5) + 90
= 21 + 90
= 112 cm²
2). Surface area of the sphere = 4πr²
= 4π(7)²
= 615.75
≈ 615.8 cm²
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