Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:
t = 1.5/3 = 0.5 hours.
Hence the time it will take him to walk 45 dogs is given by:
45 x 0.5 = 22.5 hours.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high
Answer:
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum (or "no absolute maximum")
Step-by-step explanation:
There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.
The derivative is ...
h'(t) = 24t^2 -48t = 24t(t -2)
This has zeros at t=0 and t=2, so that is where extremes will be located.
We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.
h(-1) = 8(-1)²(-1-3) = -32
h(0) = 8(0)(0-3) = 0
h(2) = 8(2²)(2 -3) = -32
h(∞) = 8(∞)³ = ∞
The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.
The extrema are ...
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum
_____
Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.
Answer : It is possible to form a triangle
Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.
Answer:
1:3
Step-by-step explanation:
The required ratio will be ,
7:21
= 1 :3