Answer:
x = 6.928
Step-by-step explanation:
Since we don't know the hypotenuse, we will use tan
tanΘ = opposite/adjacent (Θ = theta, which is basically the variable for an angle)
tan30° = x/12
to find x, multiply 12 to the other side
12tan30° = x (plug this into a calculator)
x = 6.928
Rectangle is a polygon (A close plane figure which has 3 or more sides)
Rectangle is a parallelogram (Opp Sides are parallel and congruent)
Rectangle has 4 right (90 degrees) angles, 4 sides and vertices (Corners).
Just saying a square is a type of rectangle and rhombus (4 Congruent sides)
Search about Quadrilaterals. Glad I could help!
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
<h3>How to find the equation of a plane given three points?</h3>
The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at brainly.com/question/13854649
#SPJ1
Answer:
-6=2/3*-6
Step-by-step explanation:
y=mx+b
slope = m b=y intercept
5 : - 1/6 = 0.167 out of 10 = 1.67 out of 100 = 16.7
even number 0.33 out of 10:- 3.3 out of 100:- 33
a prime number 0.5 out of 10: 5 and out of 100:- 50
multipl of 3:- 0/33 out of 10:- 3.3 and out of 100: 33