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kenny6666 [7]
3 years ago
15

Find the value of x?​

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

x≈20.23

Step-by-step explanation:

sin\alpha = \frac{opposite}{hypotenuse} \\sin(40) = \frac{13}{x}\\x=\frac{13}{sin(40)} \\

x≈20.23

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The value of 46,395 in 4
Cerrena [4.2K]
The value of 4 is in the 10,000 place. :)
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2 years ago
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The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
  • 6 + y = 11
  • y = 11 - 6
  • y = 5

The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
  • 14y = 28
  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
  • x + 4y = 9

<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y r
Ratling [72]
Y > x
y = 2(3+x)
y = 3x-2
------------------------------
2(3+x) = 3x-2
2(3+x) - (3x-2) = 0
6 + 2x -3x + 2 = 0
8 -x = 0
x = 8
---------------------------
y = 2(3+x) = 2(3+8) = 22
y = 3x-2 = 3*8 -2 = 22
----------------------------------
x = 8 ; y = 22


7 0
3 years ago
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What is the order of operations to solve this problem?<br> 10 x 5 + 2 / 2 = 60
Slav-nsk [51]

Simply remember PEMDAS:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

You perform these actions from left to right.

However in this case it is not possible for it to equal 60.

8 0
3 years ago
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Need help!!! I dont get it
lesya692 [45]

Answer:

4/3π - √3

Step-by-step explanation:

Pie piece of circle is area of circle x portion of circle

πr²*x/360 = π(2)²*120/360 = 4/3π

Then you must subract the non-right triangle area

1/2ab sin C = 1/2(2)(2) sin 120 = 2 * √3/2 = √3

4/3π - √3

7 0
3 years ago
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