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Marina86 [1]
3 years ago
10

Complete 6,7 for 5 points.

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

Answer:

idk the answer

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
2 years ago
How do I find domain and range from a graph/equation?
likoan [24]

domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)

range represents y values so it would also be all real numbers or (-infinity, infinity)

let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)

the domain would be [-3, 2]

we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)

and the range would be [-1, 2]

if you have any more questions about this explanation feel free to ask!

3 0
3 years ago
Vicent is making a number sentence using 1,3 and 5. what is the missing digit? show your work out.​
lawyer [7]
5.6 is the correct answer because 1.3 +4.3 would be 5.6 so the next one in the sequence is 9.9
6 0
2 years ago
Vermont produces about 430000 gallons of maple syrup each year how many 2 quart containers of Maple Syrup can be made from 43000
Yuki888 [10]
860000 2 quart containers of syrup can be made. Good luck on your schoolwork!
5 0
3 years ago
Read 2 more answers
For which distributions is the median the best measure of center?
sleet_krkn [62]

Answer:

D

Step-by-step explanation:

It is the organized one with the center bar also being the largest value.

7 0
3 years ago
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