Answer:
The volume of the triangular prism is 
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to

where
B is the area of the triangular face
L is the length of the prism
step 1
Find the area of the triangular face
The area of a triangle is equal to

we have

substitute

step 2
Find the volume
we have


substitute in the formula of volume


Step-by-step explanation:
x= new books
y= old books
(to help keep track)
12.50x + 5.50y or 12.50(16) + 5.50(25)
so 337.50 in revenue
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
The possible digits are:
5, 6, 7, 8 and
9. Let's mark the case when the locker code begins with a prime number as
A and the case when <span>the locker code is an odd number as
B. We have
5 different digits in total,
2 of which are prime (
5 and
7).
First propability:
</span>

<span>
By knowing that digits don't repeat we can say that code is an odd number in case it ends with
5, 7 or
9 (three of five digits).
Second probability:
</span>
BE is parallel to CD, therefore, m∠BEC=m∠ECD, therefore mBC=mDE
BE is the diameter, so Arc BE is 180 degree
mBC+mCD+mDE=180
replace mCD with 3mBC, and replace mDE with mBC: mBC+3mBC+mBC=180
5mBC=180
mBC=180/5=36
mCD=3mBC=3*36=108
the inscirbed angle m∠ECD= the measure of arc DE=36