You need to use the Pythagorean theory. a² + b² = c². So you would end up with 10²+10²=c². So, 10²=100, therefore you would end up with 200=c². In order to find the length of the hypotenuse, you need to find C. To do this, you need to undo the square and find the square root of 200 and C. So, you would get √200=√c² which would equal 14.1 inches. Then, if needed to check the answer, plug the 10,10,and 14.1 back into the a²+b²=c² and it should make the statement true.
Answer: C.) 4/27
Step-by-step explanation:
Given that:
One out of three cards is a winner :
P(winning) = 1 / 3
Therefore, P(not winning) = P(losing) :
1 - P(winning) = 1 - 1/3 = 2/3
Probability that shenice will first win on her third try can be interpreted as:
1st try = lose, 2nd try: lose, 3rd try : win
P(losing) × p(losing) × p(winning)
(2/3) × (2/3) × (1/3)
4 / 27
Probability of first winning on third try = 4/27
9514 1404 393
Answer:
RS = √(b² +(c -a)²)
Step-by-step explanation:
Put the given point coordinates in the given formula:
- R = (x₁, y₁) = (0, a)
- S = (x₂, y₂) = (b, c)
RS = √((b -0)² +(c -a)²)
RS = √(b² +(c -a)²)
Answer:
C = $5 + $1.5(w)
Step-by-step explanation:
Given the following information :
Total shipping cost :
One time fee + fee based on package weight
Given the table :
Weight in pounds - - - - Total shipping cost($)
___4__________________11
___8__________________17
___12_________________23
___16_________________29
We can deduce from the table
For a package that weighs (w) 4 pounds
Total shipping cost = $11
Let one time fee = f
Fee based on weight = r
f + 4(r) = 11 - - - - - (1)
For a package that weighs (w) 8 pounds
Total shipping cost = $17
One time fee = f
Fee based on weight = r
f + 8r = 17 - - - - - (2)
From (1)
f = 11 - 4r - - - (3)
Substitute f = 11 - 4r in (2)
11 - 4r + 8r = 17
-4r + 8r = 17 - 11
4r = 6
r = 6/4
r = 1.5
Put r = 1.5 in (3)
f = 11 - 4(1.5)
f = 11 - 6
f = 5
Hence one time fee = $5
Charge based on weight = $1.5
Hence, Total shipping cost 'C' for a package weighing 'w' will be :
C = $5 + $1.5(w)
