Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach? well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.
if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.
the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.
Answer: Follow the Steps Below.
Step-by-step explanation: Simply divide the area of the rectangle by its height to find its base. Other forms of solving for the base can be accomplished knowing diagonal length by simply taking the square root of the diagonal length squared minus its height squared.
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
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:
D. -4, -1, and 5
Step-by-step explanation:
X-intercepts are the values where your graph (function) crosses the x-axis.
So, on this graph-the pink line crosses the x-axis at these values: -4, -1, and 5.