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Elan Coil [88]
3 years ago
8

matt ran 8 laps in 1,256 seconds if he ran each lap in the same amount of time how many seconds did it take him to run 1 lap

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

you need to divide 1,256 by 8 which, is 157 seconds

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0
3 years ago
Which function BEST expresses the linear relationship displayed by the scatter plot?
Harrizon [31]

Answer:

C

Step-by-step explanation:

We want a line of best fit, which means we want to create a line that the data points will lie closest to.

One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.

Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:

(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4

Eliminate A and B.

Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.

The answer is C.

6 0
3 years ago
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Linear pairs are___ supplementary.<br><br> A) always<br> B) sometimes<br> C) never
OverLord2011 [107]

Answer:

always

Step-by-step explanation:

3 0
3 years ago
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Martin was given 10 math problems, and he has answered 7 of them. What percent of the problems does Martin have left to do?
Artyom0805 [142]
Martin still has 30% of the problems left to do.
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3 years ago
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Madison spent 3 times as long on her social project as she did on her other project. If she spent a total of 8 hours on he proje
deff fn [24]

Answer:

6 hours

Step-by-step explanation:

Suppose Madison spent x hours on her social project,

then the number of hours spent on other project will be 1/3 of x=x/3

Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e

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4x/3=8

Multiplying both sides by 3:

4x=24

Dividing across board by 4:

x= 6 hours

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3 years ago
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