Answer:

Step-by-step explanation:
You can do this using the quadratic equation:

Let's first setup our expression:
4x² + 12x = 135
the quadratic formula is:
ax² + bx + c = 0
4x² + 12x - 135 = 0
Then:
a = 4
b = 12
c = -135
Now we plug in our coefficients and solve:

We solve for both to determine the positive one:





So if you are looking for a positive solution, just take the positive one as x.
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:
1'3'5'4
Step-by-step explanation:
Answer: There are 20 years in a score. The year he is talking about is 1776
Step-by-step explanation:
Answer: 34 days
Step-by-step explanation:
To find out the amount of pages he needs to read each day at the rate of 6 pages/day is 204/6. (we divide 204 by 6 because that is 215-11, since he already read 11 pages) this is 34