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
nignag [31]
3 years ago
9

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

You might be interested in
I need help on this question please!!!
Hatshy [7]

Answer:

Z^21

Step-by-step explanation:

4 0
2 years ago
QUESTION WORTH 15 POINTS!! FINALS!! NO WRONG ANSWERS PLEASE!!
Xelga [282]

Answer:

Somewhere around 27k

Step-by-step explanation:

4 0
3 years ago
PLEASE SOLVE. FIRST ANSWER WITH EXPLANATION GETS MOST BRAINLIEST AND 10 POINTS. THANKS ;)
Murljashka [212]
Total angle sum will always equal 360 degrees. Due to vertical angles theorem, we know the angles opposite the polynomials also equal the polynomials. So, we can double both of them (like solving for perimeter) and sum them to 360.

Thus, 360 = 2(2x + 10) + 2(x+ 5)

360 = 2(2x + 10 + x + 5)
360 = 2(3x + 15)
180 = 3x + 15
165 = 3x
x = 55
7 1
2 years ago
The diagram shows 3 ships A, B and C at sea.
Wittaler [7]

Answer:

5km + 4.5km +2.7km = 12.3km

5 0
2 years ago
On two investments totaling $11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were $⁢201, how
BlackZzzverrR [31]
Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
6 0
3 years ago
Other questions:
  • What is the measure of
    5·1 answer
  • 8.) Out of 600 employees, only 270 are happy with their pay. What percent is this? (Please show your work.) *
    13·2 answers
  • anonymous 4 years ago The sides of a triangle measure 14.9 centimeters, 23.8 centimeters, and 36.9 centimeters. Find the measure
    7·1 answer
  • on a manufacturers assembly line 3% of its merchandise comes off defective. If the company has 354 defective items how many tota
    6·1 answer
  • HELPPP PLEASE‼️‼️❕❕❕❕<br><br> Find the two points on the graph
    12·2 answers
  • The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much highe
    12·1 answer
  • A sampling frame a. is a list of population elements from which the sample will be drawn. b. is the list of population elements
    13·1 answer
  • Is 121 an irrational number?
    5·1 answer
  • an aircraft flew at a speed of 900mph. what distance will it fly in 2/5 hours, 13/15 hours, 7/18 hours?
    9·1 answer
  • Need help with my math please. Determine the most probable next term in each list of numbers.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!