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
jasenka [17]
2 years ago
11

Find the values of x and y using trig

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

Step-by-step explanation:

The triangle is a right angle triangle. This is because one of its angles is 90 degrees.

Let us determine x

Taking 47 degrees as the reference angle,

x = adjacent side

11 = hypotenuse

Applying trigonometric ratio,

Cos # = adjacent side / hypotenuse

# = 47 degrees

Cos 47 = x/11

x = 11cos47

x = 11 × 0.6820

x = 7.502

Let us determine y

Taking 47 degrees as the reference angle,

y = opposite side

11 = hypotenuse

Applying trigonometric ratio,

Sin # = opposite side / hypotenuse

# = 47 degrees

Sin 47 = y/11

x = 11Sin47

x = 11 × 0.7314

x = 8.0454

You might be interested in
.
Westkost [7]

Answer: a

Step-by-step explanation:

5 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE please
VMariaS [17]

Answer:

50.5

Step-by-step explanation:

Sooo first we calculate edf. 11/2= 5.5, 5.5x5=27.5

And then we do the other part.9/5=4, and 4x11.5=46, and we need to cut that in half cuz it’s a triangle 46/2=23. We add up the rectangle and the triangle: 27.5+23=50.5

3 0
3 years ago
The Andromeda galaxy is 2.54 million (2.54x106) light years from earth. If light can travel 5.865 trillion (5.865x1012) miles in
Pavlova-9 [17]

Answer: 1.48971 x 10^19

Step-by-step explanation: 1-light year is approximately 5.865 x 10^12 which is 5,865,000,000,000 kilometers or 6 trillion miles in 1-year. The Andromeda galaxy is indeed 2.54 million light-years from Earth which is the closest galaxy to our Milky Way Galaxy.

The best way to this is to put this into a scientific calculator. If it shows 1.48971E19, the E stands for exponent and the 19 next to the E stands to the 19th power. That is written as 1,489,710,000,000,000,000 miles!! from Earth. That's a lot of zeros. That's the reason scientific notation is used; to avoid all those zeros and express very small/large figures.

Hope this explanation helps.

4 0
2 years ago
Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col
MrRissso [65]

Answer:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

Step-by-step explanation:

We are required to find a unit vector in the direction of:

\left[\begin{array}{c}-8\\7\\2\end{array}\right]

Unit Vector, \hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}

The Modulus of \overrightarrow{a} =\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}

Therefore, the unit vector of the matrix is given as:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

5 0
3 years ago
Mathematical phrases
Reil [10]

Answer:

Sum

Difference

product

square root

Quotient

7 0
2 years ago
Read 2 more answers
Other questions:
  • Compare 4/5 3/4 and 9/10
    10·1 answer
  • Julio is buying a carton of blueberries that has a mass of 100 grams. Is it reasonable to say that there are 250 blueberries in
    9·1 answer
  • What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please.
    10·1 answer
  • A wooden board is 100 cm long is cut into two pieces. One piece is 16 cm longer than the other. What are the lengths of the othe
    12·1 answer
  • What is the area of a semicircle with a diameter of 21.5
    10·1 answer
  • Can someone please help
    11·1 answer
  • 1. 56 + (-56)<br><br>2. -240 + 370<br><br>3.-5.7+(-4.2)<br><br>4.-15+(-8)​
    7·1 answer
  • ASAP!! Find the length of side x in simplest form with a rational denominator
    15·1 answer
  • Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store's profit?
    8·1 answer
  • What is the ratio of the surface areas of two cones if the radius of one is 3 en and the slant height is 7 cm, and the other has
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!