Answer:
9 inches
Step-by-step explanation:
base is rectangular in shape
Side of base of square pyramid is X inches
height of square pyramid is 1/9 X
Volume of any pyramid is 1/3 *(area of base* height of pyramid)
area of base of square pyramid = Side of base * Side of base
as area of square is equal to side * side
area of base of square pyramid = x* x square inches = 
Volume of pyramid = 1/3 *(area of base* height of pyramid)
substituting given value of of volume of pyramid , height of pyramid and area of base calculated above we have
![27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9](https://tex.z-dn.net/?f=27%20%3D%201%2F3%28x%5E2%29%2A%281%2F9%20x%29%5C%5C%5C%5C27%2A3%2A9%20%3D%20x%5E3%5C%5C729%20%3D%20x%5E3%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B729%7D%20%5C%5Cx%20%3D%209)
Therefor value of x is 9 inches.
Isosolic
Step-by-step explanation:
Here's an easy way to fold any rectangle of paper into a triangle with three sides the same length.
Fold the paper in half long-ways, then open it out flat.
Fold a bottom corner up to touch the fold line, making a sharp point on the other corner.
Now fold the two RED edges together.
Answer:
C. - 132x + 43y
Step-by-step explanation:
10x + 41y - 142x + 2y
Rearrange and put like terms together.
10x - 142x + 41y + 2y
= 10x - 142x
= - 132x
= 41y + 2y
= 43y
Now put all values together.
-132x + 43y
Answer:
Step-by-step explanation:
a) you know interest is 22 and principal is 1000 and number of months is 1
b) I = rPm
r = I/Pm
c) r = 22 / 1000(1) = 0.022 /month or 2.2% per month
or 12(0.022) = 0.264 or 26.4 % per year.
d) interest is $15, loan period is 2 weeks which occurs once during the loan, interest rate is 10% per two weeks.
P = I/rm
e) P = 15 / 0.10 = $150
Notice that there are 52 weeks/yr / 2week loan period = 26 period in a year.
This means that the APR is 0.10(26) = 2.60 or 260% annual interest rate. Pretty good return on investment if you are the lender and can keep your money lent out. Not so good if you are the borrower.
Answer:
Even
Step-by-step explanation: