Arunner runs around a circular track. he completes one lap at a time of t = 269 s at a constant speed of v = 4.6 m/s. what is the radius, r in meters, of the track?

The radius in meters is 196.9 meters.

The runner ran around the track in 269 seconds at a speed of 4.6 m/s. This will enable us to find the distance around the track which is the circumference of the track.

Distance = Speed × time

= 4.6 × 269

= 1,237.4 meters

The distance here is the circumference which can also be found by the formula:

Circumference = π × diameter

1,237.4 = 22/7 × Diameter

Diameter = 1,237.4 ÷ 22/7

= 393.7 meters

Now that we have the diameter, the radius is:

= Diameter / 2

= 196.9 meters

In conclusion, the radius is 196.3 meters

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Step-by-step explanation:

The formula relating distance (d), speed (s), and time (t) is

d = st

1. Calculate the distance

d = 269 s × 4.6 m·s⁻¹ = 1240 m

2.Calculate the track radius

The distance travelled is the circumference of a circle

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!