Answer:
24 km
Step-by-step explanation:
The scale factor for the reduction is . The length of What is the length of B? B = feet
1 answer:
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The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.
Let's assume that Kirby walks with a speed
for a time
, and that he runs with a speed
for a time
.
The total time available for Kirby to catch the train is:
and this must be equal to the sum of the two times t1 and t2:
The distance Kirby should cover is
and this should be equal to the sum of the distances covered by walking and by running:
So we have a system of 2 equations:
If we solve the system, we find:
So, Kirby needs to run at least for 8 minutes in order to catch the train.
for a time
for a time
The total time available for Kirby to catch the train is:
and this must be equal to the sum of the two times t1 and t2:
The distance Kirby should cover is
and this should be equal to the sum of the distances covered by walking and by running:
So we have a system of 2 equations:
If we solve the system, we find:
So, Kirby needs to run at least for 8 minutes in order to catch the train.
Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1) , where c is the circumference of a circle and d is its diameter
(2) , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3)
.
We can rearrange equation (1) to put d in terms of π and c, giving us (4) , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:
We can now substitute c for our circumference, 65, to get our answer in terms of π: