1. The area of the rhombus can be found by the formula
where
are rhombus's diagonals.
Note that
then
2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs

The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem

3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.
Use twice the Pythagorean theorem to find this height:

where x is projection of leg 12 cm and h is height.
Subtract the first equation from the second:

Then

Answer: 
Answer:
Jill's is the longest.
if jeffs is 0.9 times the length of jacks, his is lesser than jacks. e.g. 2×0.9=1.8. Jeff's will always be shorter. since we know Jacks is over 1, Jill's will always be taller because 2×1.08=2.16 or Jill's length.
Answer:
12x - 1
Step-by-step explanation:
Distribute the 2 and 3:
2(3x - 5) + 3(2x + 3)
(6x - 10) + (6x + 9)
Add like terms:
12x - 1
So, the answer is 12x - 1
Answer:
$127.68
Step-by-step explanation:
Rate= 6.4%
Principal= $120
Time = 1 year
Required
The final amount A
Step two
A=P(1+rt)
substitute
A=120(1+0.064*1)
A=120(1.064)
A=120*1.064
A=$127.68
Hence the final amount is $127.68
Theoretical probability is what you would expect the result of an experiment would be. For example if you tossed a fair coin 10 times the theoretical result would be 5 heads and 5 tails, because probabilty of 1 toss is 1/2 for tailand 11/2 for a head.
I practice however we might get , say, 6 heads and 4 tails
So experimental probability of e head would be 6/10 and of a tail would be 4/10.