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Eva8 [605]
3 years ago
8

Ted likes to run long distances. He can run 20 km in 95 minutes. He wants to know how many kilometers he will go if he runs at t

he same pace for 285 minutes.
How far will Ted run in 285 minutes?
Mathematics
2 answers:
Mama L [17]3 years ago
7 0

Answer:

The answer is 60 km.

kykrilka [37]3 years ago
4 0

Answer: 60 Km


Step-by-step explanation: Because if you divied 95*285= 3 so you know that it will take him 3 times the amount has given to us so we just have to do 3* 20 km which is 60

-Alissa

Hope i helped sorry if this is wrong it makes sense to me but then again i am not the best at math sooo..... sorry if this is wrong but i am pretty sure it is right :/


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How do you do this question?
Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\

\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0
3 years ago
the distance around a circle (the circumference) is about 3.14 times the diameter. If a circulares table has a diameter of 3 fee
Katyanochek1 [597]
Well.
The relation between the circumference of a circle and its diameter is described by the following equation: Thecircumference=\pi d
where d is the diameter of the circle.
For a giving diameter (d=3ft), we can substitute in the previous equation 
The circumference of a circule= 3.14*3 (you can use ur calculator to find the exact number i guess it will be about 9.42 ft)

I hope it helps.
8 0
3 years ago
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