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
Answer:
2^170
Step-by-step explanation:
(16 x 4^3 x 8^8)^ 5
- start by converting it all to a common base
(2^4 x 2^3 x 2^24)^5
- calculate the product, by adding all the powers
(2^34)^5
= 2^170
X>2, note that it is less than or equal to 2
Answer:
B.
y = -2x + 12
Step-by-step explanation:
Distance formula : sqrt ((x2 - x1)^2 + (y2 - y1)^2
(0,2)....x1 = 0 and y1 = 2
(-4,-4)...x2 = -4 and y2 = -4
now we sub
d = sqrt ((-4 - 0)^2 + (-4 - 2)^2)
d = sqrt (-4^2) + (-6^2)
d = sqrt (16 + 36)
d = sqrt (52)
d = 7.2
