We will use the Pythagorean theorem:
H² = S² - R²
H² = 5² - 3² = 25 - 9 = 16
H = √16
H = 4
The volume:
V = ( π R² H ) / 3 = ( 3² · 4 ) π / 3 = 12 π ≈ 37.68
Answer:
12 unit²
Step-by-step explanation:
area ΔAMC = 1/2 CM x AH' = 1/4 BC x AH'
area ΔABM = 1/2 BM x AH' = 1/4 BC x AH'
area ΔAMC = area ΔABM
for the same calculation, we can prove
area ΔACN = area ΔDCN
area ΔAMC + area ΔACN = 6
area ΔABM + area ΔDCN = 6
ABCD = area ΔAMC + area ΔACN + area ΔABM + area ΔDCN = 6 = 6 = 12
Answer:
$79.7
Step-by-step explanation:
Total income is $(234.8 + 64 + 20) = $318.8
Now, One-fourth of her income is budgeted for car insurance i.e.
dollars.
And, 1/10 of her income is budgeted for gasoline i.e.
dollars.
Finally, 2/5 of her income is budgeted for savings i.e.
dollars.
Therefore, the remaining amount of her income = $(318.8 - 79.7 - 31.88 - 127.52) = $79.7 is left for her spending. (Answer)
Answer:
Step-by-step explanation:
g(2) = 3(2) + 1 = 6 + 1 = 7
h(7) = 2(7) - 1 = 14 - 1 = 13
Answer:
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Step-by-step explanation:
The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2
Therefore, we have;
-4·x - 6 = -5·y + 2
-5·y + 2 = -4·x - 6
-5·y = -4·x - 6 - 2 = -4·x - 8
Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5
y = 4/5·x + 8/5
Which gives;
g(x) = y = 4/5·x + 8/5
Therefore;
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5