The area of the mat = total area added minus the original area of the water color painting.
length of the mat is:L = 20 in + 1 in + 1 in because 1 in is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in
Area mat = (22 in x 11 in) - ( 20 in x 9 in)
area mat = 62 sq in is the area of the mat
Hello from MrBillDoesMath!
Answer:
n = 5
Discussion:
Let the original number be "n" Translating the problem statement to mathematical symbolism:
n + 4 = 19 - 2n => add 2n to both sides
n + 2n + 4 = 19 - 2n + 2n => combine like terms
3n + 4 = 19 => subtract 4 from both sides
3n = 19 -4 = 15 => divide both sides by 3
n = 15/3 =5
Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.
Thank you,
MrB
<h3>
Answer: approximately 2076.56001909938
cubic cm</h3>
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Work Shown:
V1 = volume of cylinder
V2 = volume of cone on top
V3 = V1+V2 = volume of entire 3D solid figure
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V1 = volume of cylinder
V1 = pi*r^2*h
V1 = pi*8.75^2*5.8
V1 = 1395.06348773471 which is approximate
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V2 = volume of cone
V2 = (1/3)*pi*r^2*h
V2 = (1/3)*pi*8.75^2*8.5
V2 = 681.49653136466 which is approximate
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V3 = V1+V2
V3 = 1395.06348773471+681.49653136466
V3 = 2076.56001909938
Answer is approximate
The units for the volume are in cubic cm.
