Answer:
24.27 cm
Step-by-step explanation:
sin 65 degrees = 22/x, so:
1 x
------------------ = ------
sin 65 deg 22
so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm
The number of lines and triangles illustrates combination
- 36 lines can be drawn to join the nine points
- 84 triangles can be drawn using the nine points
<h3>The number of lines that can be drawn</h3>
The given parameters are:
Total points, n = 9
Total points on each line, r = 2
The number of lines that can be drawn is then calculated using the following combination formula
Lines = nCr
This gives
Lines = 9C2
Evaluate the combination expression
Lines = 36
Hence, 36 lines can be drawn to join the nine points
<h3>The number of triangles that can be drawn</h3>
The given parameters are:
Total points, n = 9
Total points on each triangle, r = 3
The number of triangles that can be drawn is then calculated using the following combination formula
Triangles = nCr
This gives
Triangles = 9C3
Evaluate the combination expression
Triangles = 84
Hence, 84 triangles can be drawn using the nine points
Read more about combination at:
brainly.com/question/11732255
Answer:
<u><em>B. 25</em></u>
Step-by-step explanation:
Short AnswerThere are two numbers
x1 = -0.25 + 0.9682i <<<<
answer 1x2 = - 0.25 - 0.9582i <<<<
answer 2 I take it there are two such numbers.
Let one number = x
Let one number = y
x + y = -0.5
y = - 0.5 - x (1)
xy = 1 (2)
Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1 Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0 Order these by powers
-x^2 - 0.5x -1 = 0 Multiply though by - 1
x^2 + 0.5x + 1 = 0 Use the quadratic formula to solve this.

a = 1
b = 0.5
c = 1

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i
x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i
These two are conjugates. They will add as x1 + x2 = -0.25 - 0.25 = - 0.50.
The complex parts cancel out. Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.
Check(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375
NoticeThe two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.
The final result is 0.9375 and 0.0625 add up to 1
9514 1404 393
Answer:
C. 13
Step-by-step explanation:
Put 4 where y is in the equation and do the arithmetic.
