Least is on top, Greatest is on bottom
-24,825
-9.75
-9.7
80
Answer:
254/324 which is about 78.4%
Step-by-step explanation:
found area of entire square to be 18² or 324
found area of 4-quarter circles - which equals one circle with radius of 9
A = 81π which is about 70
subtracted 324 and 70 to get 254
ratio of shaded to unshaded is 254 : 324
Answer:
Step-by-step explanation:
Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:
, where F = force applied and d = distance that force is applied over.
*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.
In this case, the force applied must counter the force of gravity on Martha, which is given by 
, where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, 
. Since she raises her body 4.0 meters, the work done must be 
.
Since power is equal to work over time and t = 2.3 seconds, we have:
(to two significant figures)
A triangle can only have at most one right angle.
Here's a proof that shows why this is so:
We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C
A + B + C = 180
Let's show that having two right angles is impossible
Let A = B = 90
90 + 90 + C = 180
180 + C = 180
Subtract 180 from both sides
C = 0
We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.
Let's try to show that it's impossible to have 3 right angles
Let A = B = C = 90
90 + 90 + 90 = 180 ?
270 ≠ 180
Thus it's impossible to have 3 right angles as well.
Let's show that is possible to have 1 right angle
Let A = 90
90 + B + C = 180
Subtract both sides by 90
B + C = 90
There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.
Have an awesome day! :)
