We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)
Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft
Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
Set up proportion 170/180=x/1 than cross multiply 170x=180 divide both sides by 170 answer 0.944 so 94% remains
Use formula: an = a1 * r^(n-1)
a1 = 2, r = -2
a12 = 2 * -2^(12-1)
a12 = 2 * -2^11
a12 = 2 * -2048
a12 = -4096
Solution: -4096
Answer:
x>22
Step-by-step explanation:
3(x+4)>18
3x+12> 54
3x>66
x>22
Hours to paint one room
<span>Jake: t hours </span>
<span>Lionel: t-2 hours </span>
<span>Wayne: (1.5)(t-2) hours </span>
<span>Now who is Donald? </span>
<span>Shall we assume that by "Donald" you meant "Wayne"? </span>
<span>If t is 6 hours, then the hours to paint one room is </span>
<span>Jake: 6 hours </span>
<span>Lionel: 4 hours </span>
<span>Wayne: 6 hours </span>
<span>This means that in one hour: </span>
<span>Jake can paint 1/6 of a room, </span>
<span>Lionel can paint 1/4 of a room, </span>
<span>Wayne can paint 1/6 of a room. </span>
<span>Added together, the three of them can paint (1/6 + 1/4 + 1/6) = 7/12 of a room in one hour.</span>
