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
Charra [1.4K]
3 years ago
13

Please help with the question in the picture!

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = 1 - \frac{9}{25}

Cos² C = \frac{25 - 9}{25}

Cos² C = \frac{16}{25}

Cos C = \sqrt{\frac{16}{25} }

Cos C = \frac{4}{5}

As we know that

Tan C = \frac{Sin C}{Cos C }

<em>Tan C = \frac{\frac{3}{5} }{\frac{4}{5} }</em>

<em>Tan C = \frac{3}{4}</em>

<u>METHOD - II</u>

Given Sin C = \frac{3}{5} = \frac{Height}{Hypotenuse}

therefore,  

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC  ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = \frac{Height}{Base}</em>

<em>Tan C = \frac{AB}{AC}</em>

<em>Hence Tan C = \frac{3}{4}</em>

<em />

You might be interested in
The ratio of pencil to rulers is 6:10. the are 21 pencils. how many rulers are there
Reika [66]

There would be 35 rulers.

In order to solve this, use cross multiplication.

6/10 = 21/x -----> cross multiply

10*21 = 6*x

210 = 6x

35 = x

8 0
3 years ago
What is the degree?<br><br>6−n <br><br>2<br><br> +5n <br><br>3
Katyanochek1 [597]
Polynomial Degree:
3
3
Leading Term:
5
n
3
5
n
3
Leading Coefficient:
5
5 0
3 years ago
Solve the system using elimination: Help me please<br><br><br>12x - 8y = -12 <br><br>6x + 4y = -30
LUCKY_DIMON [66]

12x - 8y = -12  

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

=  24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

Now replace x with -3 in the first equation to solve for y:

12(-3) - 8y = -12

-36 - 8y = -12

Add 36 to each side:

-8y = 24

Divide both sides by -8 to solve for y:

y = 24 / -8

y = -3

X = -3 and y = -3

(-3,-3)

4 0
3 years ago
Bill ran 400 m in 54s. joe ran 300m in 43s. who ran faster
Vsevolod [243]

Answer:

Bill

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Pls, help me work this out!
Artemon [7]
It would be 3 lbs apple because your are dividing
6 0
1 year ago
Other questions:
  • Find the value of |4|
    15·1 answer
  • Please help thank you! 15 points
    9·1 answer
  • Given A'B'C' and ABC.
    9·2 answers
  • 14. The sum of two consecutive numbers is 73. What are the numbers?
    7·2 answers
  • 5. How does the length of the long leg compare to the length of the short leg?
    11·1 answer
  • Hibdgfhvfbd<br>do you have to multiply 10 220
    7·2 answers
  • Solve for x. Assume that lines which appear tangent are tangent. X=
    12·2 answers
  • Round to 1 SF<br> 0.00628
    12·1 answer
  • WILL MAKE BRAINLIEST! ANSWER AND ILY<br><br> what are the slopes of each line?
    11·2 answers
  • Write an inequality that represents the statement, "Two times a number x, less 15, is greater than or equal to 4 times the numbe
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!