Answer:
The flagpole's shadow is 16.875 feet longer than the man's shadow
Step-by-step explanation:
The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;
Height of the shadow=actual height of the flagpole×factor
where;
length of the flagpole's shadow=22.5 feet
actual height of the flagpole=32 feet
factor=f
replacing;
22.5=32×f
32 f=22.5
f=22.5/32
f=0.703125
Using this factor in the expression below;
Length of man's shadow=actual height of man×factor
where;
length of man's shadow=m
actual height of man=8 feet
factor=0.703125
replacing;
length of man's shadow=8×0.703125=5.625 feet
Determine how much longer the flagpole's shadow is as follows;
flagpoles shadow-man's shadow=22.5-5.625=16.875 feet
The flagpole's shadow is 16.875 feet longer than the man's shadow
Answer:
0.36
Step-by-step explanation:
0.6 squared is 0.36
it is essentially 6 times 6 but as a decimal
Divide .98 by 3 1/2. 3 1/2 in decimal form is 3.5 so .98 ÷ 3.5 = .28
So one pound of bananas would cost <span>$0.28</span>
Put a point H on (9, 2). Sketch a triangle out of the three points. Distance between (-2, 2) and (9, 2) is going to be 11. Distance between (9, 2) and (9, 5) is going to be 3. These correspond to the a and b of the Pythagorean Theorem
c^2=a^2+b^2
c=√11^2+3^2=√130
<span>Square root of 130 is 11.4</span>
Answer:
Step-by-step explanation:
The perimeter is obtained by taking the sun of the fence :
Outer fencing :
Let's obtain b :
From Pythagoras :
b² = 15² - 12²
b = sqrt(225 - 144)
b = 9
Outer fencing = 2(12+6) + 2(8+9)
= 2(18) + 2(17)
= 36 + 34
= 70
Inner fencing :
(8 + 9 + 12 + 6 + 15 + 10) = 60
(70 + 60) = 130 yards
