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Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
Hello!
To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.
Since we already know the two bases and the height, we can just plug them into the equation to find the area.
A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82
The area is 281.82 ft².
I hope this helps!
Answer:
x = 3
Step-by-step explanation:
Here, we want to find the value of x
By mathematical convention;
NM = NL + LM
Now, substitute individual values
3x + 13 = (6x-5) + (2x + 3)
3x + 13 = 6x-5 + 2x + 3
3x + 13 = 8x -2
Collect like terms
8x -3x = 13 + 2
5x = 15
x = 15/5
x = 3
Answer:
48/37
Step-by-step explanation:
Use the formula (y1 - y2)/(x1 - x2).
Plug in your x and y values to get (92 + 4)/(81 - 7).
Simplify down to get 96/74 and simplify again to get 48/37.
