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
nikklg [1K]
3 years ago
13

Solve for x and y please!

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

x = 8

y=2\sqrt{3}

Step-by-step explanation:

The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.

x^2 =4^2 + (4\sqrt{3})^2

 Now we solve for x

x=\sqrt{4^2 + (4\sqrt{3})^2}

x=\sqrt{16 +16*3}\\\\x=\sqrt{64}\\\\x=8

Let's call z at the angle opposite to y

Then we have that:

sin(z) =\frac{opposite}{hypotenuse}

Where

hypotenuse = 8

opposite=4

sin(z) =\frac{4}{8}

z=sin^{-1}(\frac{1}{2})

z=30

Now we use this angle to find the length y

sin(z) =\frac{opposite}{hypotenuse}

Where in this case

hypotenuse = 4\sqrt{3}

opposite=y

z=\°30

sin(30\°) =\frac{y}{4\sqrt{3}}

y=sin(30\°)*4\sqrt{3}

y=2\sqrt{3}

You might be interested in
Please helppp, 15 points
lions [1.4K]

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Movie theater makes 40% on every ticket they sell. If the theater made $24,850 in ticket sales last month, what was the total mo
shtirl [24]
If you were supposed to find 40% of $24,850 then the answer would be $9940. 
4 0
3 years ago
Help please! this is my third time posting this!! T.T
ArbitrLikvidat [17]

Answer:

see below

Step-by-step explanation:

24 - 3 x = -27

Subtract 24 from each side

24-24 - 3 x = -27-24

-3x =-51

Divide each side by -3

-3x/-3 = -51/-3

x = 17

Check

24 -3(17) = -27

24 -51 = -27

-27 = -27

8 0
3 years ago
A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E
Firdavs [7]
The answer is 49806.06. 
6 0
3 years ago
The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a
Lubov Fominskaja [6]
Do you need to graph it?

3 0
2 years ago
Other questions:
  • What is 52 to the second power times 2
    14·2 answers
  • Find the measure of W
    8·1 answer
  • 2<br>Find the distance between<br>the points A (3.5) and B (78)​
    5·2 answers
  • Round 80417.0858163 to the nearest hundred.
    13·2 answers
  • Vertical angles must check all that apply
    8·2 answers
  • You can walk 1 1/2 miles in 1/2 an hour what is your average speed
    13·1 answer
  • What is the range of the function y=e4+1 graphed below?
    10·1 answer
  • OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME I A
    11·1 answer
  • Find the measure of each angle indicated 12,13,14
    9·1 answer
  • The cost for a pack of 25 pens is4 .75
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!