Answer:
a : b = 25 : 9
Step-by-step explanation:
(3a - 5b) : (3a + 5b) = 1 : 4
Product of extremes = product of means
(3a - 5b) *4 = (3a +5b) * 1 {Distributive property}
3a * 4 - 5b*4 = 3a + 5b
12a - 20b = 3a + 5b
Add 20b to both sides
12a = 3a + 5b + 20b
12a = 3a + 25b
Subtract 3a from both sides
12a - 3a = 25b
9a = 25b
a:b = 25 : 9
Answer:
sinθ = 5/13
cosθ = 12/13
tanθ = 5/12
Step-by-step explanation:
Get the remaining side(hypotenuse) first,
hypotenuse^2 = 12^2 + 5^2 (Pyth. theorem)
hypotenuse = 13
sinθ = 5/13
cosθ = 12/13
tanθ = 5/12
That means "is this the right amount of keys" and that ia what it means
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100 / ln
ln e^(0.8 t) = ln 100 ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
Answer:
9:30am
Step-by-step explanation:
Given data
Start time= 8:20am
Folding time= 25min
Time spent on Puzzle= 45min
Total time = 25+45= 70min= 1:10 min
Therefore the time she finishes is
8:20+ 1:10= 9:30 am
Hence she finished by 9:30am
