Answer:
3(x + 1)(3 - x).
Step-by-step explanation:
(x + 3)^2 - 4x^2
Using the identity a^2 - b^2 = (a - b)(a + b), we have
(x + 3 - 2x)(x + 3 + 2x)
= (-x + 3)(3x + 3)
= 3(x + 1)(3 - x)
Actual length of the pole and the length of the shadow cast by the pole follow the proportional relationship.
Following this rule, 20 feet tall flagpole will cast 3.33 feet shadow.
If the length of the shadow = x feet
Proportional relationship will be defined by the expression,


feet
Therefore, length of the shadow cast by flagpole will be 3.33 feet.
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Answer:
Volume of hemisphere =

Given volume =


So pi is there on both the sides so it will be cut from both LHS and RHS






Therefore value of r=3 inches
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Answer:
(C) 90 
Step-by-step explanation:
The figure is a combination of two parallelograms. So, to find the area of the whole figure, all you have to do is find the area of each parallelogram separately (they happen to be the same in this problem) and then add them up. The formula for the area of a parallelogram is <u>A = base*height</u>. In each parallelogram, the base is 15 in., and the height is 3 in. Therefore, the area of each parallelogram is 45
and the area of the whole figure is 90
.
Hope this helps :)