Answer:
1675 ft
Step-by-step explanation:
For us to calculate how close the windmill is to the fire, if we imagine it as a triangle, the distance from watch tower to the fire will be:
tan θ= opposite/adjacent
opposite=140 ft
adjacent = x
θ=3°
Thus;
tan 3 = 140/x
x=140/tan 3
x = 2,671.359 ft
Now, the distance from watch tower to windmill will be:
tan θ=opposite/ adjacent
θ=8°
opposite=140 ft
adjacent=y
thus
tan 8 = 140/y
y = 140/tan8
y=996.15 ft
Now, the distance between fire and wind mill will be:
x - y = 2671.359 - 996.15
x - y = 1675.209 ≈ 1675 ft
x + 3y <= 191
x = children
y = adults (x3)
So adding those two up must be either less than or equal to 191, as that is all the Chef made.
Answer:
See below.
Step-by-step explanation:
When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.
The cosine of x has the reverse value: cos x is 1 for x = 0 and 0 for x = 90 degrees.
At x = 45 the sine and cosine are equal in value.
So for sin x < cos x the value of x must be between 0 and 45 degrees.
So a possible value of x is 30 degrees.
When x = 30 sin x = 0.5 and cos x = 0.866.
Answer:
c
Step-by-step explanation:
x<=-2
Answer:
x=1+2i/2
Step-by-step explanation:
Using the method of completing the square
(2x)²-2(2x)1 +(1)²+4=0
(2x-1)²=-4
taking square root on both sides
2x-1=2i
2x=1+2i
x=1+2i/2
