Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of 
and the second line has a slope of 
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that 
for the first line, which means that the slope of the second line is 
. With this, we have the following equation for our new line:
where 
is the Y-intercept that we now need to determine with the coordinates given in the problem statement, 
:
Finally, we can create our line:
Answer:
Step-by-step explanation:
3/6 is 0.5
36/100 is 0.36
4/11 is 0.363636
9/25 is 0.36
Hope it helped :)
Answer:
(19x - 1)° = 56°
(13x - 5)° = 34°
Step-by-step explanation:
Property of the interior angles of a triangle:
Sum of interior angles of a triangle is 180°.
Therefore, sum of angles of the given right triangle will be,
(19x - 1)° + (13x - 5)° + 90° = 180°
32x - 6 + 90 = 180
32x = 96
x = 3
(19x - 1)° = 19×3 - 1 = 56°
(13x - 5)° = 13×3 - 5 = 34°
Answer:
(4500(Pi))/2 or 7068.585
Step-by-step explanation:
r = 15 cm
volume of a sphere:
(4/3)(Pi)r^3
Therefore:
(4/3)(Pi)15^3
15^3 = 3375
4/3 * 3375 = 4500
and since it is half a sphere (it is a bowl) the answer would be divided by two:
4500(Pi) divided by 2
14137.17 divided by 2
