Answer:
rational number
Step-by-step explanation:
Answer:
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, 
, where 
, 
, and 
are the three sides of the triangle and 
is the angle opposite to .
Let be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
Therefore, the shortest side of this triangle is 3.5.
Answer:
11, 13
Step-by-step explanation:
an odd number can be represented by 2n+1
since they are consecutive, the larger odd number will be 2n + 1 + 2
now,
2(2n+3) = 2n + 1 +15
solving this eqn, we get n = 5
so the two numbers are (2n+1) = 11 and 11+2= 13
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
Answer:
C. 2 percent cash discount if paid prior to 15 days, if customer does not take a cash discount, the balance is due in 45 days.
Step-by-step explanation:
2/15 net 45 translates as 2 percent cash discount if paid prior to 15 days, if customer does not take a cash discount, the balance is due in 45 days.
