What is the value of s in the equation 4(2s − 1) = 7s + 12? (4 points)
2 answers:
Answer:
B. 16
Step-by-step explanation:
Solve for s:
4(2s - 1) = 7s + 12
Expand out terms of the left hand side:
8s - 4 = 7s + 12
Subtract 7 s from both sides:
(8s - 7s) - 4 = (7s - 7s) + 12
8s - 7s = s:
s - 4 = (7s - 7s) + 12
7s - 7s = 0:
s - 4 = 12
Add 4 to both sides:
s + (4 - 4) = 4 + 12
4 - 4 = 0:
s = 12 + 4
12 + 4 = 16:
s = 16
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Answer:
3. 150.72 in²
4. 535.2cm²
Step-by-step Explanation:
3. The solid formed by the net given in problem 3 is the net of a cylinder.
The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.
The surface area = Area of the 2 circles + area of the rectangle
Take π as 3.14
radius of circle = ½ of 4 = 2 in
Area of the 2 circles = 2(πr²) = 2*3.14*2²
Area of the 2 circles = 25.12 in²
Area of the rectangle = L*W
width is given as 10 in.
Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in
Area of rectangle = L*W = 12.56*10 = 125.6 in²
Surface area of net = Area of the 2 circles + area of the rectangle
= 25.12 + 125.6 = 150.72 in²
4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)
=
Where,
b = 8 cm
h =