The answer for the first blank would be 1/2 because it had been dilated down to half it's original size. I hope this helps!
Answer:
second option
Step-by-step explanation:
The perimeter P is the sum of the 3 sides, then
P = 4x² + 3 + 2x - 5 + x + 11 ← collect like terms
= 4x² + 3x + 9
The decimal representation of 1/11 is 0.090909...
The pair of digits '09' repeat forever.
If you start counting the digits after the decimal point,
the odd ones are all zero, and the even ones are all 9 .
So the 44th digit after the decimal point is 9 .
In 22, you're looking for the vertical height of the triangle. You're given the angle opposite the side you want to find (which I'll call

) and the length of the hypotenuse. This sets you up with the relation

In 23, you're given a similar situation, except now you're looking for the angle (I'll call it

) in the triangle opposite the side denoting the height of the airplane. So this time,
Answer:
(a) 0.85
(b) 0.7225
Step-by-step explanation:
(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:

The proportion is 0.85.
(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:

An estimate of 0.7225 for the proportion of all such systems that will function properly.