Without further info, like distances
check the picture
Answer:
25 ft
Step-by-step explanation:
V = AH, where A = area of the base, and H = height (length) of the prism
A = bh/2 for a triangle
V = bh/2 × H
2500 = (10)(20)/2 × H
2500 = 100H
H = 25
Answer: 25 ft
Sophia is 12. Four times that is 48. If her mother is 5 years less than this, she is 43.
(12 x 4) - 5 = 43
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
