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professor190 [17]
4 years ago
5

Por favor rapido Un grupo de 7 estudiantes se les pregunto: "¿Cuántas horas viste televisión la semana pasada?" Aquí están sus r

espuestas.
16,15,17,5,18,16,7

Encuentre el número promedio de horas para estos estudiantes.

Si es necesario, redondea tu respuesta a la décima más cercana.
Mathematics
1 answer:
katovenus [111]4 years ago
7 0

Answer:

13.4

Step-by-step explanation:

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Helpppp pleaseeeeeeeeeeeeeee
Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

  • Upper triangle:

                     Area=5000\sqrt{3}units^2

  • Lower triangle:

                     Area=14,530m^2

Explanation:

<u>A) Method 1</u>

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

           Area=side_1\times side_2\times sin(\alpha)

Where, \alpha is the measure of the included angle.

1. <u>Upper triangle:</u>

          side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2

2. <u>Lower triangle:</u>

         side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2

<u></u>

<u>B) Method 2</u>

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

            Area=(1/2)\times base\times height

Use it for both triangles.

3. <u>Upper triangle:</u>

The trigonometric ratio that you can use is:

                    sine(\alpha)=opposite\text{ }leg/hypotenuse

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

         sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units

Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2

3. <u>Lower triangle:</u>

<u />

         sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2<u />

<u />

<u />Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\  Area=14,529.96m^2\approx 14,530m^2<u />

5 0
3 years ago
PLEASE HELP— URGENT// MIDDLE SCHOOL MATHEMATICS
MaRussiya [10]

Answer:

Step-by-step explanation:

The new bike costs 180 dollars

Parents paid 40%

what is a percentage? per cent= divide by 100

parents paid 180 *40/100=180*0.4=72 dollars

Jennifer has to pay the rest

180-72=108

4 0
3 years ago
Read 2 more answers
A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
Natasha_Volkova [10]

Hey!

------------------------------------------------

Surface Area Formula: 2LW * 2LH * 2WH

------------------------------------------------

2LW:

5 x 1 = 5

5 x 2 = 10

------------------------------------------------

2LH:

4 x 1 = 4

4 x 2 = 8

------------------------------------------------

2WH:

5 x 4 = 20

20 x 2 = 40

------------------------------------------------

Surface Area:

40 + 8 + 10= 58

------------------------------------------------

Answer:

D) 58 cm2

------------------------------------------------

Hope This Helped! Good Luck!

5 0
3 years ago
Subtract:<br> (-9z-7) – 11z
umka2103 [35]

Answer: -20z-7

Step-by-step explanation:

(-9z-7) – 11z

−9z−7−11z

 (-9z-11z)-7

-20z-7

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)

- Cutiepatutie ☺❀❤

3 0
3 years ago
Read 2 more answers
Which prism has 12 vertices?<br><br> rectangular<br> pentagonal<br> hexagonal<br> octagonal
lara [203]
C- Hexagonal. Basically you just double the sides of the 2d shape to find out the amount of vertices.
3 0
3 years ago
Read 2 more answers
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