Y = 3x - 2 comparing to y = mx + c, slope m = 3
For a perpendicular line, slope is negative reciprocal = -1/3
Using point (6, 8)
y - 8 = (-1/3)(x - 6)
3y - 24 = -x + 6
3y + x = 6 + 24
3y + x = 30
Answer:
.98951424
Step-by-step explanation:
You find "1 - P(No ONE is careful)"
This is equivalent to "1 - (.32^4)," which simplifies to "1 - .01048576," which is .98951424
(1,000,000 centimeters) x (1 skewer/30centimeters) =
1,000,000 /30 skewers = 33,333 whole skewers,
plus one piece of one more skewer
cut into 3 equal pieces with the other
two pieces discarded.
Another way to look at it: <em>33,334 skewers</em>,
with 2/3 of one of them not included.
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
8
Step-by-step explanation:
Recall these two equations for circumference and diameter.
Circumference = 2*pi*radius
Diameter = radius*2
25.12 = 2*pi*radius
Radius = 4
Diameter = 4*2 => 8
Thus the diameter is 8
