Answer:
120 gallons
Step-by-step explanation:
For questions like this, it is convenient to determine a ratio with the number of minutes being 1. We know that gallons are proportional to minutes, so if we divide minutes by 3 (to get 1 minute), we also divide gallons by 3 (giving 12 gallons).
Similarly, we can multiply both gallons and minutes by the same value. Multiplying the above result by 10, we get 120 gallons in 10 minutes.
36 gal : 3 min
= 12 gal : 1 min . . . . . . divide above by 3
= 120 gal : 10 min . . . . multiply previous by 10
5/9 equals 0.5555555556
The rounded answer would be 0.6
c:
Answer:
One root is 90 degrees or π/2 radians.
Drawing a graph we get all the roots:
nπ and π(n - 1/2)
Step-by-step explanation:
Sin^3A.cos A + Cos^ 3 A = Cos A
Divide through by cos A
sin^3A + cos^2A = 1
sin^3 A = 1 - cos^2 A
sin^3 A = sin^2 A
sin A = 1
So one root is A = 90 degrees or π/2 radians.
Checking this result:
(sin 90^3 * cos 90 + (cos 90)^3 = 1 * 0 + 0 = 0
cos 90 = 0
So this is correct..
Answer:
12 to 26
Step-by-step explanation:
u go get that answer lol
All the triangles are similar, so you have ...
(short side)/(long side) = 3/(CD) = (CD)/12
Multiplying by 12(CD) gives
(CD)² = 3*12 = 36
CD = √36 = 6
The appropriate choice is ...
A) 6