Answer:
The answer is 7/36. 
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
 
        
             
        
        
        
Answer:
e=1
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
1. y ≥ 100 
2. y ≤ 300
3. y ≥ 20000
4. 2y ≥ 80
5. 2y ≤ 90
Step-by-step explanation:
Let y be the variable. 
1. The discount is not less than 100.
If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.
This can be written as: 
y ≥ 100
2. The cost of the book is at most 300.
This implies that the cost of the book (i.e y) is either 300 or lesser. 
This can be written as: 
y ≤ 300
3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.
This can be written as:
y ≥ 20000
4. Twice the number is at least 80.
Let the number be y. 
Twice the number y can be written as:
2y
But twice the number is at least 80. 
This means that twice the number is 80 or greater than 80. This can be written as:
2y ≥ 80
5. Twice the measure of the acute angle is not more than 90 degree. 
Let the angle be y.
Twice the angle can be written as:
2y
But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:
2y ≤ 90
 
        
             
        
        
        
Step-by-step explanation:
SinA=1/3=p/h
p=1,h=3,and b=?
Using Pythagoras Theorem,
b=√3^2-1^2
b=√9-1
b=√8=2√2
Now,
 CosA=b/h=2√2/3
 TanA=p/b=1/2√2
There is no phi in my keypad so I use A angle instead of phi.Adjust it.
 
        
             
        
        
        
Answer:
180
Step-by-step explanation:
I multiplied both sides