Please help me with these two problems thank you!!
1 answer:
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Answer:
1.60
Step-by-step explanation:
Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.
i.e Area =
So that,
for the inner part of the pipe,
r =
=
= 2.5 feet
Area of the inner part of the pipe =
= 3.14 x
= 19.625
Are of the inner part of the pipe is 19.63 .
Total diameter of the pipe = 5 + 0.2
= 5.2 feet
r =
= 2.6 feet
Area of the pipe =
= 3.14 x
= 21.2264
Area of the pipe is 21.23 .
Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe
= 21.2264 - 19.625
= 1.6014
The cross sectional area of the cement pipe is 1.60 .
Answer:
The system of inequalities is -2x + y > 0 -x + y ≥ 0
Step-by-step explanation:
The form of the equation of a line is y = m x + b, where
- m is the slope
- b is the y-intercept
The line passes through the origin, then
- The value of b = 0
- The form of the equation is y = m x
Let us look at the graph to find the correct answer
∵ One of the lines are solid and the other is dashed
∵ The shaded area is over the two lines
∴ The signs of the two inequalities are ≥ and >
∵ The two lines pass through the origin
→ That means the y-intercepts are 0
∴ The form of the inequalities are y ≥ m x and y > m
There are only two answers that have these forms, so we must find the slope of each line
∵ m = , (x1, y1) and (x2, y2) are two points on the line
∵ The solid line passes through points (0, 0) and (2, 2)
∴ m =
=
= 1
→ Substitute it in the form of the equation
∴ y ≥ 1(x)
∴ y ≥ x
→ Subtract x from both sides
∴ -x + y ≥ 0
∵ The dashed line passes through points (0, 0) and (1, 2)
∴ m =
=
= 2
→ Substitute it in the form of the equation
∴ y > 2(x)
∴ y > 2x
→ Subtract 2x from both sides
∴ -2x + y > 0
The system of inequalities is -2x + y > 0 -x + y ≥ 0