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
Evgesh-ka [11]
2 years ago
6

Need help with trigonometry

Mathematics
2 answers:
vovangra [49]2 years ago
6 0

Answer:

\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem a^2+b^2=c^2 to find the length of side a:

Given:

  • b = 2√22
  • c = 13

\implies a^2+(2 \sqrt{22})^2=13^2

\implies a^2+88=169

\implies a^2=81

\implies a=\sqrt{81}

\implies a=9

<u>Tan Trig Ratio</u>

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given:

  • \theta = A
  • O = side opposite angle A = a = 9
  • A = side adjacent angle A = b = 2√22

\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}

DaniilM [7]2 years ago
3 0

Answer:

\boxed{ \sf \bold{tanA = \frac{9}{2\sqrt{22} } }}

Given:

  • c = 13
  • b = 2√22

=============

Formula's:

  • tan(x) = opposite/adjacent     :  tane rule
  • a² + b² = c²     :  Pythagoras Theorem

=============

To find Tan A, first find opposite side of angle A and adjacent side which is already given of 2√22

=============

<u>Opposite side</u>:

  • (2√22)² + b² = 13²
  • b² = 169 - 88
  • b² = 81
  • b = √81
  • b = 9

<u>Now find tan A</u>:

tanA = 9/2√22

You might be interested in
PLZZZ HELP ASAP solve the quadratic expression. show your work 4x^2=100
zalisa [80]
4x^2 = 100
x^2 = 25
x = + or - 5
x = 5  or  x = -5

Hope this helps.
5 0
3 years ago
How do I apply properties of multiplication powers ? Answer in 4 sentences or more.
Zielflug [23.3K]
To<span> find a </span>power of a product, look the power of each factor and then multiply. If you want to multiply two powers with the same exponent but different bases, you use the commutative property of multiplication. Product of powers property shows us that when you multiply powers with the same base you just have to add the exponents. This is raising a <span>power to a power.</span>
4 0
3 years ago
Which is the approximate measure of angle Y? Use the law of sines to find the answer.
vitfil [10]
Siny/2.7=sin63/2.8

siny=2.7sin63/2.8

y=arcsin((2.7sin63)/2.8)

y≈59.23°  (to nearest one-hundredth of a degree)
8 0
3 years ago
Read 2 more answers
Which of the following equations is paralllel to the line y+3x+1 and passes through the point (6,-3)
faust18 [17]

Answer:

are there any answer choices??

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?
Annette [7]

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

7 0
2 years ago
Other questions:
  • Simplify: |2-5| - (12 ÷ 4-1)^2
    6·1 answer
  • Please help with Question 12 at the top, i dont really want the answer. I just want how to figure it out please!
    5·1 answer
  • the marked price of a mobile is 40% above the cost price. when it is sold allowing 30% discount on the marked price, there is a
    6·1 answer
  • I REALLY NEED TO PASS THIS LESSON PLZZZZ HELPPPP!!!!!
    7·1 answer
  • (HELP ASAP PLEASE!!)
    11·1 answer
  • Veronica is framing a rectangular picture. She uses 72 inches of framing. The picture is 20 inches long. What is the width of th
    5·1 answer
  • 36a2bx2 - 12a²bx + 108a²b
    6·1 answer
  • Fill in the table using this function rule.<br> y = -3x+5<br><br> x:<br> -4<br> -2<br> 0<br> 2
    13·2 answers
  • Find the length of the third side. If necessary, round to the nearest tenth.
    9·1 answer
  • Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,632 was collected on the sale of 1,128 ticket
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!