Answer: a)
Step-by-step explanation:
We know that the volume of an oblique pyramid is given by :-
If the volume of an oblique pyramid with a square base is V units³ and the height is h units.
Then, we have
Multiply 3 on both sides , we get
Divide both sides by h , we get
i.e.
Hence, the expression represents the area of the base of the pyramid =
Hence, the correct answer is a) 3 v/h units^2
Answer:
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Step-by-step explanation:
Let x represent the speed of the side walk and y represent her walking speed
It takes Jason's 8-year-old daughter Josie 44 sec to travel 176 ft walking with the sidewalk
Distance = speed × time
176 = (x+y)×44
44x+44y = 176
x+y = 4 .......1
It takes her 7 sec to walk 21 ft against the moving sidewalk in the opposite direction).
21 = (y-x)7
7y - 7x = 21
y - x = 3 ......2
Add equation 1 to 2
2y = 7
y = 3.5 ft/sec
From equation 1
x + y = 4
x = 4 - 3.5 = 0.5
x = 0.5 ft/sec
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Miles. Hours
1/2 = 1/3
1 = 2/3
1 1/2 = 3/3 or 1
= 1
It has one solution that is the answer
Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0
As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:
c) sin (Θ) = b/25
differentiate it again to give