Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft
Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side
We are given that:
area = 120 ft²
Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft
Hope this helps :)
The expected value of the first game is -$0.50 and of the second game is -$0.52.
There are 10³ possible numbers for the lottery, and only 1 of them will match in the correct order; this gives a probability of 1/1000. To find the expected value, we multiply this by the winnings (499 after the $1 cost); we also multiply the probability of losing (999/1000) by the amount lost (-1):
1/1000(499)+999/1000(-1)
499/1000 - 999/1000 = -500/1000 = -0.50
For the second game, since the number is "boxed", there are 3! ways to get the correct digits; this gives a probability of 6/1000. Multiply this by the winnings, 79 (after the $1 cost); multiply the probability of losing (994/1000) by the loss (-1):
6/1000(79) + 994/1000(-1) = 474/1000 - 994/1000 = -520/1000= -0.52
Answer:
√2/4 + 1
Step-by-step explanation:
sin 45° --> √2/2
cos 60° --> 1/2
tan 45° --> 1
with these values, we write a new expression
√2/2 × 1/2 + 1
√2/2 × 1/2 = √2/4
(by doubling the denominator, you are splitting the number in half as implied by the 1/2)
your answer is √2/4 + 1
goodluck :)
Ok. If you were to solve this by substitution you would get (8,-3). Solve for the first variable in one of the equations, then substitute the result into the other equation.
