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
dlinn [17]
2 years ago
15

What are the sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60°?

Mathematics
1 answer:
Margaret [11]2 years ago
4 0

Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

Therefore, sin(pi/3) = 6/r =

r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

You might be interested in
. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
Licemer1 [7]
We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards

x = y-3         which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74

I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend

y = 13
z = 17
m = 34
7 0
3 years ago
Witch number is the product of 12.22 x 15.38
gayaneshka [121]

Answer:

187.9436

Step-by-step explanation:

Multiply

5 0
3 years ago
Read 2 more answers
What is the equation of the line that is perpendicular to f(x) and passes through the point (4, –6)? a.4x + 3y = –2 b. 3x + 4y =
user100 [1]

Answer:

8

Step-by-step explanation: because its even

4 0
3 years ago
PLS HELP! (it will only let me do 31 points :() but you get brainliest.
MissTica

Answer:

107, there is two lines after that so 108 109 and the last line is 110 so your answer will be 107 degrees.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Multiply the polynomials.<br>(5x2 + 2x + 8)(7x-6)​
Ilia_Sergeevich [38]

Answer:

35x3 - 16x2 + 44x - 48

Step-by-step explanation:

35x3 + 14x2 + 56x - 30x2 - 12x - 48

35x3 - 16x2 + 44x - 48

6 0
3 years ago
Other questions:
  • F 16 LB of fertilizer will cover 1500 ft.² of loan how much fertilizer is needed to cover 2500 ft.²
    5·1 answer
  • If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 5 and passes through point (2, 3).part
    11·1 answer
  • Supplementary angles are two angles whose measures have a sum of___.
    13·2 answers
  • What is the area of sector ghp
    15·1 answer
  • The world's tallest unsupported flagpole is believed to be a 282-ft-tall steel pole located in Surrey, British Columbia. During
    8·1 answer
  • A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall
    11·1 answer
  • What is the quotient of the following division problem?
    9·1 answer
  • A politician running for office called random phone numbers to see what proportion of the vote he could anticipate getting. From
    8·1 answer
  • Write 75 as a product of primes. Use index notation when giving your answer.
    9·1 answer
  • Plsss help me rn What is 100+3+200+7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!