Answer:
x = <u>20</u> units
Step-by-step explanation:
∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.
Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).
2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.
∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.
Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,
20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →
x = 20.
Answer:
a) 0.8836
b) 0.7339
c) 0.2342
Step-by-step explanation:
Books classified as fiction = 94% or 0.94 probability
Books classified as non-fiction = 1 - 0.94 = 0.06
a) for two books, we get: 0.94 * 0.94 = 0.8836 Probability
b) The probability that all five books are fiction is: 0.94^5
This equals 0.7339 Probability
c) Probability that one books is non-fiction, while the other 4 are fiction is determined in the following way:
Probability of non-fiction * probability of fiction^(number of books)
0.06 * 0.94^4 = 0.0468
This does not account for the order at which the non-fiction book shows up. Such as the non-fiction book being the first book picked, or in another case - the non-fiction book being the last picked.
Since there are 5 ways this could occur, the total probability will be calculated as shown: 0.0468 * 5 = 0.2342 Probability
CT=90°
BTA=90°
x=29
CT=37
TA=20
CA=57
Step-by-step explanation:
they say BT is an altitude ( or height) . Altitudes are perpendicular meaning that:
BTC =90°
BTA=90°
Therefore:
(3x+3)°=90°
3x=90-3
3x=87°
x=29
CT:
x+8
=29+8
=37
TA:
x-9
=29-9
=20
CA:
=CT+TA
=37+20
=57
Answer: D is correct
Step-by-step explanation:
It can be stated that increasing the sample size will cause a decrease in variability, thus both conditions are inversely proportional.
Max mart is $1.25 for an orange, and megmart is $1.125 for an orange. So megmart has the best deal and the difference is $.125
