So, the negative would be divided out to make it 3, then square both sides to get rid of the square root and get 9, then subtract 15 and you get -6. <span />
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:
50%
Step-by-step explanation:
Hope this helps :)
Answer:
I think is: x = 344/23
Step-by-step explanation:
1
Simplify n\times \frac{6}{9}n×96 to \frac{2n}{3}32n
\frac{2n}{3}=\frac{3}{12}32n=123
2
Simplify \frac{3}{12}123 to \frac{1}{4}41
\frac{2n}{3}=\frac{1}{4}32n=41
3
Multiply both sides by 33
2n=\frac{1}{4}\times 32n=41×3
4
Simplify \frac{1}{4}\times 341×3 to \frac{3}{4}43
2n=\frac{3}{4}2n=43
5
Divide both sides by 22
n=\frac{\frac{3}{4}}{2}n=243
6
Simplify \frac{\frac{3}{4}}{2}243 to \frac{3}{4\times 2}4×23
n=\frac{3}{4\times 2}n=4×23
7
Simplify 4\times 24×2 to 88
n=\frac{3}{8}n=83