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
Elis [28]
3 years ago
6

Find all the missing parts to the triangle below

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0
<h2>Answer:</h2>

We have:

  •     f=31 units
  •     m∠G=64°
  •     m∠H=29°
<h2>Step-by-step explanation:</h2>

We are given angle F as:

m∠GF=87°

Now, g=28 and h=15 we are asked to find f.

Using the law of cosines we have:

f^2=g^2+h^2-2gh\cos F\\\\f^2=(28)^2+(15)^2-2\times 28\times 15\cos (87)\\\\\\f^2=965.037796\\\\f=31.065

which is approximately equal to 31 units

Hence, f=31 units

Also,

g^2=f^2+h^2-2fh\cos G\\\\\\28^2=15^2+31^2-2\times 15\times 31\times \cos G\\\\\\\cos G=0.4322\\\\G=\arccos 0.4322\\\\\\G=64.392

Hence, to the nearest degree we get:

m∠G=64°

Also, we know that the sum of all the angles of a triangle is 180°

Hence,

m∠F+m∠G+m∠H=180°

i.e.

87°+64+m∠H=180°

m∠H=29°

Arada [10]3 years ago
3 0
Use Law of Cosines                             g^2 = f^2 + h^2 -2fhCosG                     f^2 = g^2 + h^2 -2ghCosF                    h^2 = f^2 + g^2 -2fgCosH

f^2 = 28^2 + 15^2 -2*28*15Cos87        28^2 = 31^2 + 15^2 -2*31*15CosG 
f^2 = 784 + 225 - 43.96                        784 = 961+225 - 930CosG 
f^2 = 965.0378                                    784 - 1186 = -930CosG
f = 31                                                 -402 = -930CosG             Divide by -930
                                                           .432258 = CosG
                                                           Cos^-1(.432258) = G
                                                             G = 64 degrees

Angle H = 180 - 64 - 87 = 29 degrees

Side f =   31                     Angle F =  87 degrees
Side g =  28                     Angle G = 64 degrees
Side h =  15                     Angle H =29  degrees
You might be interested in
Write a quadratic equation with -4 and 3/2 as it’s roots. Write the equation in the form ax^2 + bx + c = 0, where a, b, and c ar
jonny [76]

9514 1404 393

Answer:

  2x² +5x -12 = 0

Step-by-step explanation:

When p and q are roots of a quadratic, its factored form can be written as ...

  (x -p)(x -q) = 0

Here, the roots are given as -4 and 3/2, so the factored form would be ...

  (x -(-4))(x -(3/2) = 0

Multiplying by 2 gives us ...

  (x +4)(2x -3) = 0

Expanding the product, we find the desired quadratic is ...

  2x² +5x -12 = 0

5 0
2 years ago
Jesus bought 3 pairs of jeans for 71.40. how much would he need to pay for 8 pairs of jeans?
Radda [10]
He would need to $189.60 for eight pairs of jeans.
7 0
3 years ago
Estimate the value of 2/5
Verizon [17]
D. 2.0 I think it's the correct answer...
7 0
3 years ago
8 5/12 x 3 6/13 as a fraction please
Olin [163]

Answer:

29 7/52

Step-by-step explanation:

5 0
2 years ago
Brainliest FOR WHO HELP ME a spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diame
const2013 [10]
4/3 *3.14*4.5^3-Donut Hole
4/3 *3.14*3^3-Mini Donut

Then Subtract the greater answer from the smaller one. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • The answer to this question.
    14·1 answer
  • 29, 20, 36, 44, 30, 32, and 40.
    7·2 answers
  • Stuck on this problem!!!
    9·1 answer
  • a new car that costs $17,500 loses 25 percent ot its value in the first year.how much is the loss of the value?
    13·1 answer
  • This box is a right rectangular prism. Its dimensions are 3 inches by 3 inches by 11 inches.
    7·2 answers
  • In 4 regular season basketball games, James Harden scored 141 points. Write an equation to represent the number of points scored
    11·2 answers
  • Which expression could be substituted for y in the second equation to find the value of x?
    8·1 answer
  • Can someone help me with this question please?
    7·2 answers
  • Find two decimals that are equivalent to
    11·1 answer
  • The table shows the heights of three monster
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!