If the two diagonals are 
and 
, the are of the rhombus is
So, in your case, the area is
The other options are wrong because:
- option A doens't divide by 2, thus getting twice the area of the rhombus
- option B summed the diagonals instead of multiplying them
- option D took the difference of the diagonals.
The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).
based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.
the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.
The ball would not change the energy.
To learn more about kinetic energy
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SPJ9
The correct answer is b)5280yd
Answer:
C - 2 2/9
Step-by-step explanation:
7 1 /2 x + 3 2/ 3 = −13
Subtract 3 2/3 from each side
7 1 /2 x + 3 2/ 3 - 3 2/3 = −13 - 3 2/3
7 1/2x = -16 2/3
Change each mixed number to an improper fraction
7 1/2 = (2*7 +1)/2 = 15/2
16 2/3 = (3*16+2)/3 = 50/3
15/2 x = -50/3
Multiply each side by 2/15 to isolate x
2/15 * 15/2 x = -50/3 * 2/15
x = -100/45
Simplify
x = -20/9
Change back to a mixed number
9 goes into 20 2 times with 2 left over
x = -2 2/9
Answer:
197 adult tickets and 354 child tickets were sold for the event.
Step-by-step explanation:
Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:
22 - 14 = 8
551 x 14 = 7.714
9,290 - 7,714 = 1,576
1,576 / 8 = 197
551 - 197 = 354
197 x 22 + 354 x 14 = X
4.334 + 4.956 = X
Therefore, 197 adult tickets and 354 child tickets were sold for the event.
