Answer:
y = 7
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, then
AC = BD , that is
AE + EC = BD [ AE = EC = 6y ]
6y + 6y = 84
12y = 84 ( divide both sides by 12 )
y = 7
Answer:
Area of the parallelogram = 21.6 cm²
Step-by-step explanation:
Area of a parallelogram = Base × Height of the side parallel to the base
By using ruler,
Base = 4.8 cm
Height of parallelogram = 4.5 cm
Area of the parallelogram = 4.8 × 4.5
= 21.6 cm²
560% as a decimal = 5.6
(move the decimal points 2 spaces to the left.)
560% as a mixed number = 5 3/5
(divide 560 by 100; 100 goes into 560 5 times so 5 will be your whole number and since you have 60 left you divide 60 by 100; 60/100 can be reduced to 3/5 if you divide the numerator and the denominator by 20)
hope this helps :)
Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
Answer:
because it matters where the points are located
Step-by-step explanation:
