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BARSIC [14]
3 years ago
6

Maggie is flying a kite and lets out

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

5

Step-by-step explanation:

Easy

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In the diagram the length of segment TR can be represented by 5x-4.
masya89 [10]

Answer: The correct option is D, i.e., 15 units.

Explanation:

It is given that the  length of segment TR can be represented by 5x-4.

From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,

5x-4=2x+5

3x=9

x=3

The value of x is 3, so the length of side RV is,

2x+5=2(3)+5=11

In triangle TRS and angle VRS,

TR=VR

\angle TRS=\angle VRS=90^{\circ}

RS=RS (common side)

By SAS rule of congruence triangle,

\triangle TRS\cong\triangle VRS

Therefore the side TS and VS are congruent sides.

From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.

VS=6x-3=6(3)-3=15

Hence, the length of side VS is 15 units and option D is correct.

4 0
3 years ago
Read 2 more answers
Question 3 (Essay Worth 10 points) (05.07 MC) The scatter plot shows the number of strawberries that have been picked on the far
solong [7]

It's not an accurate value for the data based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means practically no correlation, while the points on the graph are moderately correlated

<h3>How to illustrate the information?</h3>

1. Part A:

Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.

The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to  1.

Here, r = - 1 is a perfect negative correlation as the points will adjust perfectly to a line with negative slope.

r =  + 1 is a perfect positive correlation: the points will ajdust perfectly to a line with positive slope.

r = 0 means that the variables are not correlated at all.

Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.

Therefore, the calculated value of r = 0.01 is not accurate for this scatter plot.

2. Part B.

A causal relationship means that the explanatory variable (the independent variable) is the cause of the dependent variable.

Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.

Thus, the scenario could be:

Amout of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

        50                                                     40

        25                                                     80

        12.5                                                  160

        6.25                                                 320

The amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.

Learn more about scatter plot on:

brainly.com/question/6592115

#SPJ1

4 0
1 year ago
A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits
marta [7]

Answer:

Power generated = 4.315 kW

Step-by-step explanation:

Given,

  • speed of wind when enters into the turbine, V = 12 m/s
  • speed of wind when exits from the turbine, U = 9 m/s
  • mass flow rate of the wind, m = 137 kg/s

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

E\ =\ \dfrac{1}{2}.mV^2-\dfrac{1}{2}.m.U^2

   =\ \dfrac{1}{2}\times 137\times (12)^2-\dfrac{1}{2}\times 137\times (9)^2

   =4315.5 J

   = 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

P\ =\ \dfrac{\textrm{energy generated}}{time}

And the energy is generated is already in per second so power generated will be 4.315 kW.

   

   

   

   

   

8 0
3 years ago
The area of a trapezoid is 70.55 square feet. The length of the bases are 11.4 and 5.6 feet. What is the height of the trapezoid
olasank [31]

Answer:

The height is 8.3 feet

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

Area=½(sum of bases)*height

We substitute area=70.55, and the base lengths 11.4 and 5.6 feet and solve for the height.

70.55 =  \frac{1}{2} (11.4 + 5.6)h

70.55 =  \frac{1}{2} (17)h

70 .55 = 8.5h

h =  \frac{70.55}{8.5}

h = 8.3

5 0
3 years ago
Read 2 more answers
What is the slope of the line that contains the points (-2,7) and (2,3)
Ludmilka [50]

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

y_{2} =3\\y_{1} =7\\x_{2} =2\\x_{1} =-2

^^^Plug these numbers into the formula for slope...

\frac{3-7}{2 - (-2)}

\frac{-4}{4} -------------------> Simplifies to -1

                                                ^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
2 years ago
Read 2 more answers
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