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
Sveta_85 [38]
3 years ago
15

Find the value of sinY

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

\frac{63}{65}

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>

(XZ)²= 3969 <em>(</em><em>simplify</em><em>)</em>

<em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>

XZ= \sqrt{3969}

XZ= 63 <em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(simplify)</em>

sinY

= XZ/ ZY

= \frac{63}{65}

You might be interested in
The length of a photograph is 3cm less than twice the width. The area is 77 cm. find the dimensions of the photograph
Mila [183]
I think it is 25.6 or something around there
4 0
3 years ago
Is (-3,2)(−3,2)left parenthesis, minus, 3, comma, 2, right parenthesis a solution of -4x -10y &lt; -9−4x−10y&lt;−9minus, 4, x, m
r-ruslan [8.4K]

Answer:

The answer to your question is The point (-3, 2) is not a solution

Step-by-step explanation:

Inequality

                                   - 4x - 10y < - 9

-point (-3, 2)

Process

1.- To solve this problem, just substitute the point in the inequality and simplify

a) Substitution

                                    -4(-3) - 10(2) < - 9

b) Simplification

                                    12 - 20 < - 9

c) Result

                                        - 8 < - 9

This is false, -8 > -9

7 0
3 years ago
What is the answer to 1/4(-12plus4/3)
Genrish500 [490]

Answer:

Step-by-step explanation:1/4(-12+4/3)

-12+4/3=-36+4/3

1/4*-32/3=-8/3

-2.666

4 0
3 years ago
Find the diameter, given the circumference of a circle is 40.035 cm.
LekaFEV [45]

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

8 0
3 years ago
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
andrew-mc [135]

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

4 0
3 years ago
Other questions:
  • Herky found that 8 out of every 100 beans in his garden were nibbled by rabbits. how many beans can he expect to be damaged if t
    8·2 answers
  • 3x+y=W<br><br><br><br> Solve for X....
    15·1 answer
  • Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the numbe
    6·2 answers
  • Look at the cone above. If r = 6 cm and h = 6 cm, what is the volume of the cone? (Assume = 3.14)
    9·2 answers
  • A conical (cone shaped) water tower has a height of 12 ft and a radius of 3 ft. Water is pumped into the tank at a rate of 4 ft^
    15·1 answer
  • How do you solve 3x-5y=9;x=-1,0,1
    10·1 answer
  • Solve for x and show your work 2x=36 x= ?
    8·2 answers
  • On a standard six-sided die, what is the probability of rolling an even number?
    12·2 answers
  • Just give the number plsthx
    12·2 answers
  • Each side of a square courtyard is 16 meters long. It costs $14.00 per meter to replace the brick wall around the courtyard. How
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!