Answer:
15
Step-by-step explanation:
5x + 15 <= 90
5x<=75
x=15
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:
A. 16; 36
Step-by-step explanation:
If the triangles are equal
sides QS = side TV
3v+1 = 5v-9
subtract 3v from each side
3v+1 -3v = 5v-3v-9
1 =2v-9
add 9 to each side
1+9 = 2v-9+9
10 = 2v
divide by 2
10/2 =2v/2
5=v
QS = TV = 3v+1 = 3(5)+1 = 16
<r = <u
4n+4 = 5n-4
subtract 4n from each side
4n+4 -4n = 5n-4n -4
4 = n-4
add 4 to each side
4+4 =n-4+4
8 =n
<r = <u = 4n+4 = 4*8+4 = 36
Answer:
Step-by-step explanation:
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