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
levacccp [35]
3 years ago
10

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

You might be interested in
Hurry please! The table shows the results of a survey about favorite movie theater snacks.Write a fraction in simplest form that
Basile [38]
So if 24 people chose popcorn and there is a total of 60 people surveyed, the fraction would be 24/60. You still need to simplify the fraction, so divide 24/60 by 4 to get 6/15. Hope this helps. -S
4 0
3 years ago
Joe has 45 minutes before he has to go to soccer practice he spends 20 minuets eating a snack and the rest of the time doing his
Alexeev081 [22]

Answer:

45=20+(x)

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
A rental company charges $8 per hour to rent a kayak plus a $12 rental fee. If Margerie spent $44, for how many hours did she re
DanielleElmas [232]
4 hours she spent .............:
3 0
2 years ago
Read 2 more answers
All my points to whoever can solve this
tankabanditka [31]

Answer:

1/5 + 2/5 i sqrt(6) = .2 + .98i

1/5 - 2/5 i sqrt(6) = .2 - .98i

Step-by-step explanation:

5z^2−9z=−7z−5

We need to get all the terms on one side (set the right side equal to zero)

Add 7z to each side

5z^2−9z+7z=−7z+7z−5

5z^2−2z=−5

Add 5 to each side

5z^2−2z+5=−5 +5

5z^2−2z+5=0

This is in the form

az^2 +bz+c = 0 so we can use the quadratic formula

where a = 5   b = -2  and c = 5

-b± sqrt(b^2-4ac)

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

  2a

-(-2)± sqrt((-2)^2-4(5)5)

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

  2(5)

2± sqrt(4-100)

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

10


2± sqrt(-96)

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

10

2± sqrt(16)sqrt(-1) sqrt(6)

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

10

2± 4i sqrt(6)

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

10

1/5 ± 2/5 i sqrt(6)

Splitting the ±

1/5 + 2/5 i sqrt(6) = .2 + .98i

1/5 - 2/5 i sqrt(6) = .2 - .98i


3 0
3 years ago
A city received 2 inches of rain each day for 3 days. the meteorologist said that if the rain had been snow , each inch of rain
muminat
30 inch of snow that day
3 0
3 years ago
Other questions:
  • The area of a triangle is 16 square units. The base of the triangle is four more than the height of the triangle. What is the ba
    12·1 answer
  • What is 50/45 simplified
    14·1 answer
  • Hi, I need some help on this question
    5·1 answer
  • PLEASE HELP ASAP PLSS ILL GIVE BRAINLIEST PLS JUST HELP HURRY ITS DUE SOON
    9·2 answers
  • Evaluate the expression.<br><br> 4(5+6)−15
    13·1 answer
  • 88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that
    8·1 answer
  • a car travels along the highway to yuma at steady speed. when it begins, it is 400 miles from yuma. After 7 hours, it is 59 mile
    5·1 answer
  • Which of the equations given below would generate a straight line? Help :)
    7·1 answer
  • Which of the following situations are equal to 90%? Select all that apply.
    9·1 answer
  • What is the rate of change between the (-3,0) and (-2,-5)?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!