The triangle of height 5 units and base 7 units will be as follows:
You can use calculus ( related rates). Given the rate os change of the radius for example you can find the rate of change of volume using differential calculus.
Answer:
19/42
Step-by-step explanation:
multiply each fraction by the opposite denominator to get the same denominator for both 12+7=19 &6×7=42
X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Answer: 37
Step-by-step explanation:
Well DCB is a right angle, and there is already half which is 53 degrees, subtract 90 by 53 and you will get your answer.
