Answer:
x ≈ 14.57
Step-by-step explanation:
using the sine ratio in the right triangle
sin59° =
=
( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.57 ( to 2 dec. places )
Answer:
Geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
We have given,
A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.
So,
Area of a board = 48 × 24 = 1152 square inches
And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}
Area of circular hole = π×3² = 9π = 28.27 square inches
Now, we need to find the geometric probability of an object will hit the circle.
Geometric probability = Area of circular hole / Area of board
Geometric probability = 
Geometric probability = 0.0245
hence geometric probability of an object hitting a circular hole is 0.0245.
So if you do the math to this you would divide 29 by 2 and that would give you 14.
Answer:
22.96
Step-by-step explanation:
Answer:
C. 2
Step-by-step explanation:
The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.
Your line goes up to the right, so its slope is positive.
The only answer choice that is a positive number more than 1 is ...
... C. 2
_____
The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.
Then the ratio of rise to run is 10/5 = 2. This matches answer C.