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mars1129 [50]
3 years ago
5

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20cm.

Mathematics
1 answer:
Komok [63]3 years ago
6 0
We know that
the area A of the circular cross section of the pipe is
A=pi*r²
D=20 cm------------- > r=D/2=20/2=10 cm
then
A=pi*10²=100*pi cm²

the answer is A=100*pi cm²
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Find two consecutive even integers such that twice the smaller is 16 more than the larger.
qwelly [4]

Answer: smaller: 18 ; larger: 20

Step-by-step explanation:

Let n be the smaller integer. Then the larger integer is n+2. So:

2n=n+2+16

n=18

The smaller integer is 18; the larger one is 20.

6 0
3 years ago
Find x, GH, and HI <br> .
ruslelena [56]
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4

We can establish the following equality statement to solve for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

Combine like terms:
5x - 7 = 53

Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60

Divide both sides by 5 to solve for x:
5x/5 = 60/5

x = 12

Substitute the value of x into the equality statement to verify if it is the correct value for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).

Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25

HI = 2x + 4
HI = 2(12) + 4
HI = 28

Please mark my answers as the Brainliest, if you find this helpful. :)
6 0
3 years ago
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Ne4ueva [31]
A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.
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Answer:

No

Step-by-step explanation:

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Vesnalui [34]

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