9514 1404 393
Answer:
5π/6 radians
Step-by-step explanation:
The whole is the sum of the parts.
∠BAD = ∠BAC +∠CAD
∠BAD = π/3 + π/2 = π(2/6 + 3/6)
∠BAD = 5π/6
Answer:
0.01863, yes preference
Step-by-step explanation:
given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class and says that the five students are being selected at random
Here selecting any 5 students from the group of total 24 students is combination because order does not matter.
Total no of ways of selecting any 5 from total 24 = 
No of ways of selecting only 5 girls = No of ways of selecting random 5 girls from total 12 girls
= 
a) the probability be that all five students
selected are girls=
b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random. Hence the teacher had a preference for girls.
Answer:
Sara should sell each bracelet at <em>$8.50</em> to make a profit of $99.
Step-by-step explanation:
We are given the following:
Total cost = $28.50
Total bracelets to be made = 15
Total profit to be made = $99
Let
be the price at which Sara sells each bracelet to make a profit of $99.


Also,


Equating (1) and (2):

Sara should <em>sell each bracelet at $8.50</em> to make a profit of $99.
Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
Answer:
D
Step-by-step explanation: