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
Turn 33 less the product of 2 and x to a algebraic expression
Kazeer [188]

33 - 2x


If this answer is incorrect, then I am sorry.

6 0
3 years ago
A withdrawal of $225
igor_vitrenko [27]

Answer:

ok bro

Step-by-step explanation:

4 0
3 years ago
At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an al
Mashutka [201]

Let's assume

boiling point is y

altitude is x

we are given

This relationship between altitude and boiling point is linear

At an altitude of 1000 feet, water boils at 210°F

so, first point is (1000,210)

so, x1=1000 , y1=210

At an altitude of 3000 feet, water boils at 206°F

so, second point is (3000,206)

so, x2=3000,y2=206

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{206-210}{3000-1000}

m=-\frac{1}{500}

now, we can use point slope form of line

y-y_1=m(x-x_1)

so, we can plug it

y-210=-\frac{1}{500}(x-1000)

so, point slope form of line is

y-210=-\frac{1}{500}(x-1000)

now, we can plug x=8000

and then we can solve for y

y-210=-\frac{1}{500}(8000-1000)

y=196

So,

the boiling point of water at an altitude of 8000 feet is 196°F..........Answer

4 0
3 years ago
Read 2 more answers
PLEASE HELP !!! on timer
garri49 [273]

Answer: third circle

Step-by-step explanation:

6 0
3 years ago
Evalute the piecewise function for the given values of x​
podryga [215]

Answer:

mdmfnndhhdhdnd brnrnhruh hehrbfb hfnfnfbj bdnbdhdh hxhhn ndnnjnxnamkdjjfjfjjdjz hzjsuklshhwhhhèushhhhhdhhhshdùunvcn n nn nn nn n b ncjjnndnhshsb bsbbdnnnns nndnfnkkdgdhp1 gyduia

3 0
3 years ago
Other questions:
  • Heelllpppp!!!!!!!!!!!!!!!!!!!<br> Find the arc length of the partial circle.
    11·2 answers
  • Dilma is on a 10 1/2 mile hike. She has hiked 2/3 of the total distance already. How many miles has she already hiked?
    9·2 answers
  • PLEASE PLEASE HELP PLEASE
    10·1 answer
  • A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 13,500 in3. Determine the dime
    11·1 answer
  • PLEASE HELP!??
    6·2 answers
  • GEOMETRY HELP PLEASE ASAP
    10·1 answer
  • Sickle cell anemia is a genetic blood disorder where red blood cells lose their flexibility and assume an abnormal, rigid, �sick
    5·1 answer
  • What is the square root of 2.4²+.7²
    11·1 answer
  • Slope:3,y-intercept:-4
    11·1 answer
  • What is x to the nearest tenth? <br><br><br> Show work pls.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!