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seropon [69]
2 years ago
14

Here are the vertices of rectangle FROG: (−2,5), (−2,1), (6,5), (6,1). Find the perimeter of this rectangle. If you get stuck, t

ry plotting the points on a coordinate plane.
Mathematics
1 answer:
user100 [1]2 years ago
5 0

Answer:

26

Step-by-step explanation:

Distance between (-2,5) and (-2,1) is 5

Distance between (-2,5) and (6,5) is 8

Distance between (6,5) and (6,1) is 5

Distance between (6,1) and (-2,1) is 8

5+8+5+8=26

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What is the following quotient? 9+√2/4-√7<br><br> Please Help!! thank you.
Naddika [18.5K]

Answer:

svehe3vsjhe3v

Step-by-step explanation:

euhbhdvgrvdg

3 0
2 years ago
The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%. Between station A and station​ B, which
saveliy_v [14]

Answer:

x = 3.1 %

Step-by-step explanation:

Let x be the slope the track.

Given:

Distance between station A and B = 270 ft

Track rise = 8\frac{1}{2} = \frac{17}{2} = 8.5\ ft

We need to find the slope of the railway track between station A an B.

Solution:

The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%.

We know that slope of the railway track is equal to gradient of the tracks.

So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

Slope\ of\ the\ the\ tracks =\frac{Distance\ between\ two\ stations}{track\ rises}

x=\frac{8.5}{270}\times 100

x = 3.1 %

So x = 3.1 % less than the maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%.

Therefore, x = 3.1 % meets the​ rapid-transit rail​ standards.

5 0
2 years ago
Your tutor asks you to record the time you spend using IT during the week. You have recorded this time below: Day Time Monday 0.
NikAS [45]

Let us convert all figures into decimals so that we can compare them easily.

Monday    0.3

Tuesday   15% = 0.15

Wednesday   1/6 = 0.1666

Thursday   0.2

Friday   1/8 = 0.125

Clearly, I spent the least amount of time on Friday using IT and the time is 0.125 or 1/8.


7 0
2 years ago
12. A cyclist travels 40 km at a speed of x km/h. Find the time
GREYUIT [131]

Answer:

Step-by-step explanation:

distance = rate times time, so

           

           distance

time = --------------

               rate

Here the distance is 40 km and the rate is x.  Then

              40 km

time = --------------  =  (40/x) hr

             x km/hr

If the speed is reduced by 2 km/hr, we get:

              40 km                                            40 km                  40

time = -------------------------------  or time = ----------------------- = --------- hr

             (x km/hr - 2 km/hr)                      (x - 2) (km/hr)       x - 2

The difference between the times is:

 40          40

-------- - --------- = 1 hr          Solve this for the original speed, x

x - 2         x

40x - 40x + 80                                80

-----------------------  =  1 hr     or     ------------ = 1     or 80 = x^2 - 2x

     x(x - 2)                                     x(x - 2)

Rewriting this in standard quadratic form:  x^2 - 2x - 80 = 0

Here a = 1, b = -2 and c = -80, and so the discriminant b^2 - 4ac is:

(-2)^2 - 4(1)(-80) = 324

The solutions are:

   

      -(-2) ± √324       2 ± 18

x = -------------------- = ------------ = 1 ± 9, or 10 (discard the other root)

              2                      2

The original speed was 10 km/hr

7 0
2 years ago
Read 2 more answers
The correlation coefficient for the ages of drivers in a driver safety class and the number of traffic violations they have rece
Doss [256]
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all

The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases

Answer: option C
7 0
2 years ago
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