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maksim [4K]
3 years ago
6

6 There are 10 lanes in the bowling alley where Harold bowls. He wants to make a

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

The width of 10 lanes would be a total of  10 centimeters , 1 cm for each lane on his drawing.

Step-by-step explanation:

The scale he uses is

15 ft= 3 cm

1 feet = 3/15 cm

1 cm= 15ft/3= 5 ft

One lane = 60 ft long and 5 ft wide

In centimeters it would be 60 ft / 5ft = 12 cm long and 5 ft/5ft= 1 cm wide

The width of 1 lane is 1 cm .

The width of 10 lanes would be a total of  10 centimeters , 1 cm for each lane on his drawing.

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70,000 is ten times as much as 7,000. This is because 7,000 times 10 equals 70,000. I got this answer by dividing 70,000 by 10.
6 0
3 years ago
Find the coordinates of the vertices of a triangle after a 90 degree rotation counterclockwise about the origin.
Oksana_A [137]

Step-by-step explanation:

The rule for a 90 degree counterclockwise is

(x,y) -> (-y,x)

so

C(-1,2) -> C'(-2,-1)

D(3,5) -> D'(-5,3)

E(1,2) -> E'(-2,1)

7 0
3 years ago
Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
3 years ago
A storm Flori performance most of the daily unit counts but the owner personally recorded that there was 61 units remaining afte
Kruka [31]

Answer:

  y = -2.8x +69.4

Step-by-step explanation:

The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...

   y = (y2-y1)/(x2-x1)·(x -x1) +y1

For the given points, this is ...

  y = (33 -61)/(13 -3)·(x -3) +61

  y = -28/10(x -3) +61

  y = -2.8x +69.4 . . . . . the equation of the line through the given points

_____

<em>Comment on the problem</em>

A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.

7 0
3 years ago
Write a function rule that represents each sentence c is 8 more than half of n
Olegator [25]
C= n/2+ 8 this is your answer
6 0
3 years ago
Read 2 more answers
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