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
valina [46]
3 years ago
13

With reference to the figure, sin x =

Mathematics
2 answers:
TEA [102]3 years ago
7 0
Cos y = 16 / 17.89 = 0.8944
y = cos^-1 (0.8944) = 26.57°

tan 26.57 = BA / 17.89
BA = 17.89 tan 26.57 = 8.95

tan x = 17.89 / 8.95 = 1.999
x = arctan 1.999 = 63.43

sin x = sin 63.43 = 0.8944
Alla [95]3 years ago
4 0

Answer:

From the figure,

The length of BC = 17.89 unit and the length of DC =16 unit.

Now, find the angle y by using cosine function;

Cosine defines as the ratio of the adjacent side of a right triangle to the hypotenuse  

i.e  \cos = \frac{Adjacent side}{Hpotenuse}

from the triangle BDC;

Hypotenuse = BC =17.89 unit and Adjacent side = 16 units

then;

\cos y =\frac{16}{17.89} =0.894354388 or

y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest to hundredths place)

Now, find the value of angle x;

In right angle ΔABC;

The sum of measures of the three angles in triangle ABC is 180 degrees.

\angle A + \angle B +\angle C =180^{\circ}                    ....[1]

from the given figure, \angle B=90^{\circ}, \angle A =x^{\circ} and

\angle C =y=26.57^{\circ}

Substitute these in [1] to solve for  angle x;

x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ} or

x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}

or

x^{\circ}+116.57^{\circ} =180^{\circ}

Simplify:

x^{\circ}=180^{\circ}-116.57^{\circ}=63.43^{\circ}

We have to find the value of sin x;

then;

The value of \sin 63.43 =0.89438856.


You might be interested in
One of Newton’s laws of motion states that objects in motion tend to stay in motion. What is the reason that this law may not al
Nastasia [14]

The answer is D.

The full specification of Newton's First Law is (from Wikipedia)

In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.

On earth we're generally in slightly a non-inertial frame, with rotation and revolution around the sun. It's also impossible to turn of gravity, so objects are being acted upon by an outside force. Typically there's also the outside force of friction, which makes things tend to stop.




4 0
2 years ago
Read 2 more answers
Can you represent the data with an equation? If so write the equation.
dlinn [17]

• Use slope to graph linear equations in two variables. • Find the slope of a line given two points on the line. • Write linear equations in two variables. • Use slope to identify parallel and perpendicular lines. • Use slope and linear equations in two variables to model and solve real-life problems. 2

6 0
3 years ago
A real estate agent sells a house for $87,000. she gets a commission of 6% on the sale. what is her commission?
Evgen [1.6K]
Her commission would be 6% of 87,000

turn ur percent to a decimal......" of " means multiply
0.06(87,000) = $ 5220 <==
8 0
3 years ago
Which pair of angles are corresponding angles
Arte-miy333 [17]
Answer is C
<3 and <7
-----------
3 0
3 years ago
Read 2 more answers
Solve the equation.<br> 25.14 = d + (-15.3)<br> 0 40.44<br> 0 -9.84<br> O 9.84<br> -40.44
Gnom [1K]

Answer:

d = 40.44

Step-by-step explanation:

Simplifying

25.14 = d + (-15.3)

25.14 = d + -15.3

Reorder the terms:

25.14 = -15.3 + d

Solving

25.14 = -15.3 + d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1d' to each side of the equation.

25.14 + -1d = -15.3 + d + -1d

Combine like terms: d + -1d = 0

25.14 + -1d = -15.3 + 0

25.14 + -1d = -15.3

Add '-25.14' to each side of the equation.

25.14 + -25.14 + -1d = -15.3 + -25.14

Combine like terms: 25.14 + -25.14 = 0.00

0.00 + -1d = -15.3 + -25.14

-1d = -15.3 + -25.14

Combine like terms: -15.3 + -25.14 = -40.44

-1d = -40.44

Divide each side by '-1'.

d = 40.44

Simplifying

d = 40.44

5 0
2 years ago
Read 2 more answers
Other questions:
  • I'm abt to burn my house down follow my insta, rsokolskiy9, for the full video
    13·2 answers
  • Rewrite the equation y – 4x = –9 in slope-intercept form.
    13·1 answer
  • The radius of the base of a cone is 16 m. Its slant height is 28 m. What is the surface area in
    6·1 answer
  • Please help me I will give you the brain thing and extra points. (image below) 1/13
    5·2 answers
  • Question in the picture
    7·2 answers
  • Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns. What is the constant of proporti
    6·2 answers
  • I will mark BRAINILY to first correct answer!! EXTRA POINTSSS!
    5·1 answer
  • If (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?
    8·1 answer
  • The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
    13·1 answer
  • Subtract.<br> (3x²+2x9) - (4x² - 6x + 3)<br> 4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!