Answer:
x = -7
Step-by-step explanation:
Two parallel lines are lines that never intersect each other.
The y-axis can be written as x = 0.
Then if we want a parallel line to this one, it must be something like x = b
such that b ≠ 0.
Now we want that the distance between our line and the line x = 0 is 7 units to the left
(remember that the left is the negatie side of the axis)
then we can write:
b - 0 = -7
b = -7
The parallel line is x = -7
Answer:
1.1071
Step-by-step explanation:
tan θ = opposite/adjacent = 10/5 = 2
arctan(2) = 1.1071
Answer:
Step-by-step explanation:
Let the remainder of the diameter is x.
<u>Use the intersecting chords theorem:</u>
- 6*x = (72/2)*(72/2)
- 6x = 1296
- x = 216
<u>The diameter:</u>
- d = 6 + x = 6 + 216 = 222 in
<u>The radius:</u>
Given:
hexagon
apothem of the hexagon: 14 cm
perimeter of the hexagon: 96 cm
Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side
hexagon has 6 sides.
Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a
We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .
Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2
A = 112 cm²
112 cm² * 6 triangles = 672 cm²
As x = 5 & z=12,
<span>2/3 = y /(xz) = y/(5*12) </span>
<span>= y/60 </span>
<span>so y / 60 = 2/3 </span>
<span>y = (2*60)/3 </span>
<span>= 40</span>
