Answer: The lamppost is 7 feet 2 inches
Step-by-step explanation: If Ann measured her own height and her shadow, then what she used is a ratio between both measurements. If she can measure the shadow of the lamppost, then she can use the same ratio of her height and it’s shadow to derive the correct measurement of the lamppost.
If Ann’s height was measured as 5 feet 3 inches, and her shadow was 8 feet 9 inches, the ratio between them can be expressed as 3:5.
Reduce both dimensions to the same unit, that is, inches. (Remember 12 inches = 1 foot)
Ratio = 63/105
Reduce to the least fraction
Ratio = 3/5
If the height of the lamppost is H, then
H/144 = 3/5
H = (144 x3)/5
H = 86.4
Therefore the lamppost is approximately 86 inches, that is 7 feet and 2 inches tall.
Hello :
<span>4x-5y=13...(1)
x+5y=-3...(2)
(1)+(2) : 5x = 10
x=2
subsct in (2) : 2+5y = -3
5y =-5
y = -1
</span>
Answer:
78.10 cm^2
Step-by-step explanation:
The area of the shaded region is the area of the rectangle subtracted from the area of the circle.
area of circle = (pi)r^2
area of rectangle = LW
shaded area = area of circle - area of rectangle
shaded area = (pi)r^2 - LW
shaded area = (pi)r^2 - LW
shaded area = (3.14159)(6 cm)^2 - (7 cm)(5 cm)
shaded area = (3.14159)(36 cm^) - 35 cm^2
shaded area = 113.097 cm^2 35 cm^2
shaded area = 78.097 cm^2
Answer: 78.10 cm^2
Answer:
Step-by-step explanation:
The natural logarithm function is the inverse of the natural exponential function.
are equivalent.
