Answer:16 ft 4 in
Step-by-step explanation:we want to find the height of the pole.
It's shadow is 2yards(6ft) long,
3 x the boy's shadow of 2ft long
Because the length of a shadow corresponds to the height of the object casting it, the poles height would be 3x the height of the boy.
His height is 5'6" (66")
66×3=196
196" = 16'4"
1 1/2 feet= 18 inches
18 inches/3 = 6
Answer:
<h2>A = 36π yd² ≈ 113.04 yd²</h2><h2>C = 12π yd ≈ 37.68 yd</h2>
Step-by-step explanation:
The formula of an area of a circle:

The formula of a circumference of a circle:

<em>r</em><em> - radius</em>
<em />
We have <em>r = 6yd</em>.
Substitute:


If you want round the answers, then use <em>π ≈ 3.14</em>


Answer:
a) Put x=10, then the both terms will be same.
b) (2x+3) and 23
c) (2x+3) is a general term for all values of x and 23 is a particular value for x=10
Step-by-step explanation:
a) Considering the following two fractions (4x²+8x+3)/(2x+1) and 483/21, they are equivalent to each other for the value of x =10.
Therefore, if you put x=10 in the fraction (4x²+8x+3)/(2x+1), then it will become 483/21. (Answer)
b) The quotient of the fraction (4x²+8x+3)/(2x+1) will be obtained by as follows:
(4x²+8x+3)/(2x+1) {By factorizing the numerator}
=(4x²+6x+2x+3)/(2x+1)
=(2x+3)(2x+1) / (2x+1)
=2x+3
Again, the quotient of the fraction 483/21 =23 (Answer)
c) Again, if you put the value of x =10 in the quotient (2x+3), then it will result 23. Therefore, (2x+3) is a general term which is valid for all the real values of x and 23 is a particular value for x=10. (Answer)