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melomori [17]
3 years ago
10

At 8:00 AM a bicyclist departed city A, heading towards city B at a rate of 20 km/h. After traveling for 4 hours he stopped for

an hour break. At the same time, a biker left city A traveling in the same direction at the rate of 50 km/h. will give brainliest plz dont troll
Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

Biker will catch the cyclist after 2 hr and 40 min.

Step-by-step explanation:

Given:

Speed of Bicyclist = 20 km/h

Travelling time = 4 hrs

∴ Distance = Speed × Time = 20\times4=80 \ km

Also he rest for 1 hr.

So we can say that, after 5 hrs Bicyclist is 80 km ahead when the biker Started.

Now Biker rate is given 50 km/h

And Bicyclist rate is 20 km/h

So, for each hour, biker advances 50 - 20 = 30 kilometers

now bicyclist distance is 80 km

and biker advances 30 per hour.

Therefore to catch up bicyclist at 80 km i.e time taken to reach 80 km with 30 km rate per hour.

Time = \frac{80}{30}=2 \frac{2}{3} h

Hence, Biker will catch the cyclist after 2 hr and 40 min.

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3 years ago
H=−4.9t2+25t
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ANSWER

5

EXPLANATION

The equation that expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground is

h(t) =  - 4.9 {t}^{2}  + 25t

To find the time when the ball hit the ground,we equate the function to zero.

- 4.9 {t}^{2}  + 25t = 0

Factor to obtain;

t( - 4.9t + 25) = 0

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t = 0 \: or \:  \:  - 4.9t + 25 = 0

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t=0 or t=5.1 to the nearest tenth.

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To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch
Ede4ka [16]

Answer:

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Step-by-step explanation:

-This is a Mark-Recapture method.

-The population is estimated using the formula:

N=\frac{MC}{R}

where:

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  • M-is the number of individuals tagged
  • C- is the total number captured the second time(both tagged and untagged)
  • R-is the total number of tagged individuals recaptured.

#We substitute our values as follows to estimate N:

N=\frac{MC}{R}\\\\=\frac{114\times 97}{33}\\\\=335.0909\approx336

Hence, there are approximately 336 squirrels in the conservation area.

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