Answer:
Step-by-step explanation:
We are given the following in the question:
Oil leaks out of a tanker at a rate of r = f(t) liters per minute, where t is in minutes.
Let V be the volume, then we are given that rate of leakage is:
Thus, we can write:
We have to find the a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.
Thus, total amount of oil leaked will be the definite integral from 0 minutes to 60 minutes.
The units of integral will be liters.
The shape of sail is triangle
The shape of the boat is trapezoid
Fabric needed for sail = fabric needed for boat
which mean ;
the area of triangle = the area of trapezoid
the area of triangle = 0.5 * base * height
base = bottom sail = 10 and height = 10
∴ the area of triangle = 0.5 * 10 * 10 = 50 ⇒⇒⇒⇒⇒(1)
the area of trapezoid = 0.5 * (b₁ +b₂) * h
b₁ = long base
b₂ = short base = 10 cm.
h = height = 4 cm.
∴ the area of trapezoid = 0.5 (b₁ + 10 ) * 4 ⇒⇒⇒⇒ (2)
Equating (1) and (2)
∴ 0.5 (b₁ + 10 ) * 4 = 50
b₁ + 10 = 25
b₁ = 15
∴ <span>The length of the long base of the trapezoid = 15 cm.
The correct answer is option (C)
</span>
Here BG=6 and BE is median
So BE÷BG=3÷2=
2BE=6*3
Be=18÷2=9
Answer:
6
Step-by-step explanation:
Substitute answers in, a = 3 and b = 2.
(3^2 - 2^2)/(3+2)
= (9-4)/5
= 5/5
= 1
