Answer: DA = 6
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Explanation:
The triangles are similar, allowing us to make the proportion below
DB/DA = DA/DC
Plug in the given values. Cross multiply and solve for x
DB/DA = DA/DC
9/DA = DA/4
9*4 = (DA)*(DA)
36 = (DA)^2
(DA)^2 = 36
DA = sqrt(36)
DA = 6
The length of DA is exactly the geometric mean of the lengths BD and DC
geometric mean of x and y = sqrt(x*y)
Xn = ar^(n-1)
n = term to find = 6
a = 1st term = 72
r = common ratio = 0.5
now we sub
x6 = 72 * 0.5^(6-1)
x6 = 72 * 0.5^5
x6 = 72 * 0.03125
x6 = 2.25 <===
Answer:
70
Step-by-step explanation:
the figure shown is a parallelogram with a base length of 10 ft and a height of 7 ft
the area of a parallelogram can simply be calculated by multiplying the base length by the height
hence, area = 7 * 10 = 70
Answer:
Percentage decrease in surface area =
Step-by-step explanation:
Given: A right circular cylinder has a radius of 6 inches and a height of 4 inches.
To find: percent change in surface area of the cylinder if height and radius are decreased by 10%
Solution:
Original radius of cylinder (r) = 6 inches
Original height of cylinder (h) = 4 inches
Original surface area of cylinder (a) =
New radius of cylinder (R) = inches
New height of cylinder (H) =
New surface area of cylinder (A) =
Decrease in surface area =
Percentage decrease in surface area =
Ratios use division to compare two or more values