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
What art? May you add additional words so that i may assist you?
Answer:
6570
Step-by-step explanation:
18x365=^
Answer:
Well, if you just guess and check, this problem is very easy to solve. But of course we don't want that. Using an equation, we could solve this easily. We're saying the twice the x (smaller angle for the two supplementary angles) + 30 equals the bigger one. Two supplementary angles equals 180 degrees. So, 3x+%2B+30+=+180. Why is it 3x + 30, you ask? because 2x + 30 is only one of the supplementary angles, so we have to have another x, which is the smaller one. 3x + 30 = 180. Subtract 30 on each side and divide 3 on each side, and you'll be left with x = 50. So the smaller angle is 50, so obviously 180 - 50 = 130. So angles are 130 and 50.
Step-by-step explanation:
Answer: 5 years
14,800 students enrolled
Step-by-step explanation:
Let x represent the number of years and
Let y represent the number of students enrolled
College A: y = 12,300 + 500x
College B: y = 18,550 - 750x
Use substitution Method to solve:
12,300 + 500x = 18,550 - 750x
+750x +750x
12,300 + 1250x = 18,550
-12,300 -12,300
1250x = 6250
x = 5
Input x = 5 into one of the equations to solve for y.
y = 12,300 + 500x
= 12,300 + 500(5)
= 12,300 + 2500
= 14,800
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