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3 years ago

Which set of values is not a linear function of a?

Mathematics

1 answer:

IRISSAK [1]3 years ago

4 0

The answer to this is set Z

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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0

3 years ago

Please help!!! i need this question done

Bingel [31]

The answer is c .........

7 0

3 years ago

a rectangle is 28 feet by 41 feet. If it can be determined, which of the following gives the whole number length, in feet, of a

rjkz [21]

Answer:

c = 20 ft

Step-by-step explanation:

The largest square will be 14 sqrt(2) ft long

To figure out the side length of the square

use the pythagorean theorem

a^2 + b^2 =c^2

we are limited by the shortest side of the rectangle

28 ft

each side of the triangle is 1/2 the length of the short side of the rectangle or 14 ft

a^2 + b^2 =c^2

14^2 + 14^2 = c^2 where c is the side of the square

196 + 196 = c^2

392 = c^2

take the square root of each side

sqrt(392) = sqrt(c^2)

c = 14sqrt(2)

c = 19.799ft

to the nearest whole number

c = 20 ft

5 0

3 years ago

I know the answer but I need an explanation of how it is the answer plss.

Mashcka [7]

Answer: I got the answer by adding and subtracting

Step-by-step explanation:

4 0

3 years ago

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Please help will mark brainliest!!!

11Alexandr11 [23.1K]

Correct answers
1). first option
4) last option
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8 0

3 years ago

Read 2 more answers