1/4 hour is the same as 15 minutes. If it takes 15 minutes to paint 1/3, then it would take 45 minutes to paint the whole wall.
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>
Answer:
k = -10
Explanation:
f(x) = 4x³ - 3kx² + 44x - 30
The divisor is:
Set divisor to zero:
Insert this into equation.
⇒ 4(2)³ - 3k(2)² + 44(2) - 30 = 210
⇒ 32 - 12k + 88 - 30 = 210
⇒ -12k + 90 = 210
⇒ -12k = 210 - 90
⇒ -12k = 120
⇒ k = 120/-12
⇒ k = -10
Answer:
Step-by-step explanation:
<u>Perimeter of garden A is
</u>
- P = 2(w + l) = 2( 2x - 3 + 5(2x - 3)) = 24x - 36
<u>Perimeter of garden B is
</u>
-
5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<u>Sum of perimeters:</u>
- 24x - 36 + 17x - 1 = 41x - 37
The statement 2 is FALSE as number we got is different from the one in the statement
Answer:
1, 1/2
Step-by-step explanation:
the coordinates would be Oak station(8,8) and Pine Station(-6,-7).
The midpoints would be
=[8+(-6)]/2 , [8+(-7)]/2
=2/2 , 1/2
=1, 1/2
