Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:


To check for right-angle triangle, we make use of:

This gives:




This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
 
        
             
        
        
        
96 Square inches because if you multiply every side with each length you get 96 in2
        
                    
             
        
        
        
What are you stuck on ??????
        
             
        
        
        
Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
- 18 juniors
- 10 seniors
- 6 female seniors
- 10-6 = 4 male seniors
- 12 junior males
- 18-12 = 6 junior female
- 6+6 = 12 female
- 4+12 = 16 male
- A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
- P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
- P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
- P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1 
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
 
        
             
        
        
        
Answer:
286
Step-by-step explanation:
Given that:
For every 13 people who prefer football ; 7 prefer basket ball
At an event;
Number who prefer basketball = 154 
Number who prefer football :
[(Total who prefer basketball) ÷ 7] * 13
(154 / 7) * 13
= 22 * 13
= 286