Answer:Using a calculator, if you typed in 67 divided by 8, you'd get 8.375. You could also express 67/8 as a mixed fraction: 8 3/8. If you look at the mixed fraction 8 3/8, you'll see that the numerator is the same as the remainder (3), the denominator is our original divisor (8), and the whole number is our final answer (8) ...
Step-by-step explanation:
D ( AC ) = 6 ( because A and C have the same y-coordinate )
d ( AB ) = √[(x2 - x1)² + (y2 - y1)²],
where A ( x1, y1 ) = ( -3, 1 ) and B ( x2, y2 ) = ( -1, 3 )
d ( AB ) = √[(-1 -(-3))² + (3 - 1 )²] = √[(-2)² + 2²] = √8 = 2√2
d ( BC ) = √[(3-(-1))² + (1-3)² =√[4² + (-2)²]= √20 = 2√5
The perimeter of ΔABC:
6 + 2√2 + 2√5 = 6 + 2 · 1.41 + 2 · 2.24 =
= 6 + 2.82 + 4.48 = 13.30
Answer:
3,5,9
Step-by-step explanation:
I use the method
if it is even can be divisible by 2
if the first 3 numbers add to something divisible by 3
4 if the first 2 numbers add up to be divisible by 4
5 has to end in 0 or 5
6 has to be divisible by 2 AND 3
9 has to be divisible by 3
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)
The area is actually 52.5
