Answer:
-1
Step-by-step explanation:
"Gradient" is yet another term for "slope" or "rate of change." It is the ratio of "rise" to "run."
Here, the graph goes through grid intersections such that 1 to the right is 1 down. The "rise" is -1 for a "run" of 1, and the slop (gradient) is ...
m = rise/run = -1/1 = -1
The gradient of the graphed line is -1.
The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38.
Answer:
X = 3
Step-by-step explanation:
3x = -3x + 15
3x +2x = 15
5x = 15
x = 3
Answer:
11860.22 rev/hour
Step-by-step explanation:
The diameter if a cylinder, d = 21.02 inches
Radius, r = 10.51 inches
or
r = 0.875 feet
The linear speed of a point on the cylinder's surface is 18.12 ft/sec.
We need to find the angular speed of the cylinder.
The relation between the linear speed and the angular speed is given by :
Where
is angular speed
or
So, the required angular speed of the cylinder is 11860.22 rev/hour.
.if a is positive, the parabola opens up or to the right.
if a is negative, the parabola opens down or to the left
A parabola is a curved-forming shape in a graph that describes many important figures like the relationship, the focus and the magnitude of the variables involved.
