Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2
Answer:
The length of rectangular is increasing at a rate 0.5714 meters per hour.
Step-by-step explanation:
We are given the following in the question:
Initial dimensions of rectangular box:
Length,l = 10 m
Width,w = 7 m
We have to find the rate of increase of length.
Area of rectangle =
Differentiating we get,
Putting values, we get,
Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.
Answer:
360 cm^2.
Step-by-step explanation:
Area of the base = 10*10 = 100 cm^2.
We find the slant height of the sides using Pythagoras:
h = sqrt ( 12^2 + 5^2)
h = sqrt 169
h = 13.
Area of the triangular sides = 4 * 1/2 * 10* 13
= 260 cm^2
So the total surface area = 100 + 260
= 360 cm^2.
