Answer:
Building's actual height 32 meters
Building's shadow height 20 meters
Person's shadow height 1.2 meters
Person's actual height = ?
Find the person's actual height:
This is a proportion problem.
Actual height to shadow height
Building = Person
32 : 20 = x : 1.2
32 * 1.2 = 20 * x
38.4 = 20x
38.4/20 = 20x/20
1.92 = x
The person's actual height is 1.92 meters long.
32 : 20 = 1.92 : 1.2
32/20 = 1.60
1.92/1.2 = 1.60
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Of I is the incenter then : AI, BI, and CI would be equal
if lengths are equal we can make an equation to solve the length of BI
AI = BI ➡ 3x+7 = 5x-11 ➡ 2x = 18 ➡ x = 9
replace x with 9
5x-11 ➡ 5×9-11 = 34
52.4 megabytes have been downloaded.
Explanation:
Turn 18.9% into a decimal, which is 0.189
Then multiply 0.189 times 277, which is 52.4
{k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64}
{k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}
{(k - 4)(k + 6) = 0, (k - 7)(k + 9) = 0}
{k = -6, 4, -9, 7)
Therefore, range = {-9, -6, 4, 7)
Answer:
$11000 at 4% and $4000 at 8%
Step-by-step explanation:
