1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astraxan [27]
2 years ago
13

Helpppp pleaseeeeeeeeeeeeeee

Mathematics
1 answer:
Vesna [10]2 years ago
5 0

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 />

You might be interested in
The graph of the function B is shown below. If B(x) = -1, then what is x?
GREYUIT [131]
The answer is c, 2.To find this, look on the graph for a point with the y value of -1. (2,-1) is the solution.
3 0
3 years ago
Read 2 more answers
What is the 1 in the 110
dezoksy [38]
You can divide 110 by 1 to see how many 1's go in 110:
110/1 = 110

This means that there are 110 1's in 110.

Hope this helps! :)
8 0
3 years ago
These tables represent continuous functions. In which table do the values represent an exponential function.
Dennis_Churaev [7]
If you look at all 4 of these tables. Exponential means a large increase or gradual increase so. With that in mind if you look at table 1, the y column only increases by 5. For B, the y column only increases by 1. For C, the y column increase by 4 then 8 then 16 then 32. Therefore it is exponential. For D it is consistently an increase of 8.

Hope this helps!
4 0
3 years ago
Read 2 more answers
Solve this step by step
Kaylis [27]

Step-by-step explanation:

the formula to calculate a circumference is

x \times \pi

(consider x as the diameter)

so I'll be noting the circumference as C alongside the circle's ranking

a.

ca = 6 \times 22 \div 7 \\  = 44 \div 7

b.

cb  = 7 \times 22 \div 7 \\  = 154 \div 7 \\  = 22

c.

cc \:  = 4 \times 22 \div 7 \\  = 88 \div 7

hope I helped

8 0
3 years ago
Find the x-intercepts of the parabola with vertex (-4,2) and y-intercept (0,-30). Write your answer in this form: (x1, y1),(x2,
Ainat [17]
Vertex form of a parabola 
<span>y = a (x - h)^2 + k </span>

<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get, 

<span>y = a(x + 4)^2 + 2 </span>

<span>substituting in the point (0, -30) for  x and  y
</span><span>-30 = a (0 + 4)^2 + 2 

</span>solve for a,

<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>

<span>y = -2(x + 4)^2 + 2 </span>

<span>Put y = 0 </span>

<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>

<span>x = -3
x = -5</span>
3 0
3 years ago
Other questions:
  • How much should you invest at 3% simple interest in order to earn $65 interest in 14 months?
    8·2 answers
  • HELP!!! PLZ !!!!!!!!!
    6·2 answers
  • (8x10^-3) ÷ (2x10^-4)​
    14·1 answer
  • Which is the longer length 29ft or 9 yards
    7·1 answer
  • Correct simplification of 8x^2(5x + 2x^2 − 3)??
    11·1 answer
  • Does anyone know this????
    11·1 answer
  • What is 3/7 in simplest form
    10·2 answers
  • FIn the solutions for x:<br> (√x+1) + (√4x+13) = (√3x+12)
    5·1 answer
  • What are the steps to this?
    8·1 answer
  • Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and H J = 4x,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!