Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
Answer: $12
Step-by-step explanation:
The formula to calculate the compound interest , if the interest is compounded semi-annually :-
, where P = Principal amount
r = rate of interest ( in decimal)
t= Time ( in years)
Given : P= $1500
r= 1.6 % =0.016
t= 6 months = year [∵ 1 year = 12 months]
Then, the interest earned by Robert in 6 months will be :-
Hence, Robert earned $12 as interest .
Answer:
y=140,000
Step-by-step explanation:
35,000x4=140,000
Answer: x=4
Step-by-step explanation:
Simplifying
(14x + -15) + 139 = 180
Reorder the terms:
(-15 + 14x) + 139 = 180
Remove parenthesis around (-15 + 14x)
-15 + 14x + 139 = 180
Reorder the terms:
-15 + 139 + 14x = 180
Combine like terms: -15 + 139 = 124
124 + 14x = 180
Solving
124 + 14x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-124' to each side of the equation.
124 + -124 + 14x = 180 + -124
Combine like terms: 124 + -124 = 0
0 + 14x = 180 + -124
14x = 180 + -124
Combine like terms: 180 + -124 = 56
14x = 56
Divide each side by '14'.
x = 4
Simplifying
x = 4
Answer:
Step-by-step explanation:
Given
--- volume of tank
--- solid mass
--- outflow rate
Required
Determine the concentration at the end of 4 hours
First, calculate the amount of liquid that has been replaced at the end of the 4 hours.
This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced
Calculate the ratio of the liquid replaced.
Next, calculate the amount of solid left.
Lastly, the concentration is calculated as:
Convert L to cubic meters