I believe its 180.
I have seen this question before and the amount of girls was 220, so 400-220 is 180
Hope this helps :)
STEP
1
:
Pulling out like terms
Pull out like factors :
32 - 2x = -2 • (x - 16)
STEP
2
:
Equations which are never true:
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-16 = 0
Add 16 to both sides of the equation :
x = 16
Step-by-step explanation:
step 1. tan x = opposite/adjacent = c/b
step 2. cos x = adjacent/hypotenuse = b/a
step 3. sin x = opposite/hypotenuse = c/a
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
