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mars1129 [50]
3 years ago
8

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track

at the average speed of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
A. 0.5< t < 0.75
B. 1.75< t < 2.0
C. 2.0 < t < 2.5
D. 2.5 < t < 3.0
E. 3 < t < 3.5
Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

Answer:

  A.  0.5< t < 0.75

Step-by-step explanation:

We can use the relation ...

  time = distance / speed

to find the number of hours it took Johanna to walk around the lake.

  time = (2 mi)/(3 mi/h) = 2/3 h

2/3 is between 1/2 and 3/4, so the first answer choice describes the interval containing Johanna's time:

  0.5 < t < 0.75

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eduard

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Step-by-step explanation:

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Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many point
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Answer:

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2 years ago
Please help me lol a lil confused
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\leadsto f( \rm x) =  - (x - 3)(x - 5)

\\  \\

\leadsto f( \rm x) =   - ( {x}^{2}  - 5x - 3x + 15) \\

\\  \\

\leadsto f( \rm x) =   - ( {x}^{2}   - 8x + 15) \\

\\  \\

\leadsto f( \rm x) =   - {x}^{2}  + 8x  -  15 \\

3 0
2 years ago
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*Help ASAP Please! Studying for finals and I'm stuck on this question!*
Nezavi [6.7K]
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).

I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
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3 years ago
X^2/3 can be written as
Nonamiya [84]
X to the power of two thirds <span />
5 0
3 years ago
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