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
lubasha [3.4K]
4 years ago
12

Right Triangle ABC has its right angle at C, BC = 4, and AC= 8.

Mathematics
1 answer:
ra1l [238]4 years ago
7 0

9514 1404 393

Answer:

 cos B = (√5)/5

  csc B = (√5)/2

  tan A = 1/2

Step-by-step explanation:

The length of hypotenuse AB is given by the Pythagorean theorem:

  AB² = AC² +BC²

  AB² = 8² +4² = 64 +16 = 80

  AB = √80 = 4√5

The mnemonic SOH CAH TOA can help you remember the needed ratios.

  Cos = Adjacent/Hypotenuse

  cos B = BC/AB = 4/(4√5)

  cos B = (√5)/5

__

  Sin = Opposite/Hypotenuse

  csc = 1/sin = Hypotenuse/Opposite

  csc B = AB/AC = (4√5)/8

  csc B = (√5)/2

__

  Tan = Opposite/Adjacent

  tan A = BC/AC = 4/8

  tan A = 1/2

You might be interested in
.<br> Solve for x<br> 5x – 7 = 19<br> Give your answer as an<br> 
kipiarov [429]

5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

7 0
3 years ago
Read 2 more answers
Directions: Simplify the following monomials.SHOW ALL STEPS!
Elena-2011 [213]

Answer:

Please see the attached images for explanation:

Step-by-step explanation:

Please let me know if you have any questions :)

8 0
3 years ago
there are 10 students in a social studies class. three students will be selected to present their term projects today. in how ma
pogonyaev
The answer is equivalent to 10*9*8 as their is one less student to go after each presentation.
720 ways.
6 0
4 years ago
Read 2 more answers
How do I solve 18=6(2x-8)
lisabon 2012 [21]

Answer:

x=11/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
S=4lw+2wh; s=200, l=9, w=5
goldfiish [28.3K]

Answer:

2

Step-by-step explanation:

200=4(5)(9)+2(5)h

Simplify:

200=20(9)+10h

200=180+10h

Subtract 180 on both sides:

20=10h

Divide by 10:

h=2

6 0
4 years ago
Other questions:
  • The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
    9·2 answers
  • You are playing a board game and your playing piece
    13·1 answer
  • This screen is 6 inches by 8 inches. What is the screen size?
    11·1 answer
  • Which description is correct for the x-intercept(s) of Function A and Function B?
    14·1 answer
  • What is 1/8 x 3/4 iready
    6·2 answers
  • Howard is playing in a high school basketball game that is halfway through the
    15·1 answer
  • Dee is buying lillies to to use centerpieces for a special dinner. Each centerpiece will have three lillies. There are a total o
    6·2 answers
  • Can you help me on unmber 2 or 3 Plzz show work
    9·1 answer
  • Seven less than three times a number is equal to fourteen more than six times the number.
    15·2 answers
  • Point T is on line segment SU given TU=x-1, SU= 3x-7 and ST=x+7 determine the numerical length of TU
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!