Answer:
c) 60°
Step-by-step explanation:
We solve this question using trigonometric function of Cosine.
cos θ = Adjacent/Hypotenuse
θ = ???
Adjacent = Base of the ladder is on the ground = 2.5 feet
Hypotenuse = Length of the ladder = 5 feet
cos θ = 2.5/5
θ = arc cos (2.5/5)
θ = 60°
Therefore, the measure of the angle created by the ladder and the ground is 60°
Answer:
112.5 mL
Step-by-step explanation:
Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...
0.15(1800) +x = 0.20(1800+x)
270 +x = 360 + 0.2x . . . . . . eliminate parentheses
0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x
x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x
112 mL of grape juice should be added to make a mix that is 20% grape juice.
The initial salary of 32200 remains constant, but 700 is added each year.
Karla's salary can be expressed as a function of t years:
s(t) = 32200 + 700t
Answer:
Find the median value for the dataset. Find the values of the lower and upper quartiles. Find the value of the interquartile range (IQR). Identify any outliers in the dataset. Use the criterion that a value is an outlier if it is either more than 1.5 x IQR above
Answer:
maximum height =7.347m
Step-by-step explanation:
maximum height = (U²sin²θ)/2g
where θ = 90° as the ball is thrown straight up.
sin90°=1 , so our formula reduces to;
H= U²/2g
U=12m/s , g=9.8m/s²
H= 12²/(2*9.8)
H=7.347m
