Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Let c be children and a adults.
3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)
c + a = 331 (total number of people)
The second formula becomes a = 331 - c. This can be substituted into the first formula.
3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.
546/3.5 = 156 = c (number of children).
c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).
There are 156 children and 175 adults
Answer:
This is a Categorical variable and the measurement scale is ordinal scale.
Step-by-step explanation:
The measurement scale that is being used to classify sleep is the ordinal measurement. In this question, the variable that is called sleep quality is a categorical variable. categorical variables are variables that have the data representing groups. sleep quality has been given this categorical order extremely low very low low and extreme high.
The ordinal scale is a scale that denotes order it has all variables in a specific order.
The grandson is 9 years old.
This would mean that the grandpa is 54.
9x6=54
54/6=9
Answer:
10.50
Step-by-step explanation:
5% of 10 is 0.5
0.5+10=10.50
