Answer:
Rational Numbers
−17.6 (-176/10)
81
13/14
Rational Numbers
15π
square root −29
Step-by-step explanation:
Rational Numbers are those numbers which can be written as Ratio of two numbers.
Irrationational Numbers are those which cannot be written as ratio of two numbers. such as recurring numbers.
e.g 0.26262626.........
This is an example of conditional probability because we are trying to find the probability of an event occurring GIVEN the occurrence of some other event. There is a formula for this (see image attached).
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.
Answer:
6 feet
Step-by-step explanation:
Consider the right triangle formed by the wall, ladder and ground.
Let the distance the ladder is from the wall be d , then
Using Pythagoras' identity in the right triangle
The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then
d² + 8² = 10²
d² + 64 = 100 ( subtract 64 from both sides )
d² = 36 ( take the square root of both sides )
d = = 6
That is the ladder is 6 feet away from the wall
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
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a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
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b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
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c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent