Write the expression as a polynomial (x+1)(x+2)(y–3)
1 answer:
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Answer:
<em>The circle has a radius of 41 inches</em>
Step-by-step explanation:
<u>Circles</u>
There are certain relations in a circle that help us to identify and calculate some of its characteristics.
The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.
But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.
Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:
where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore
Solving for r
The circle has a radius of 41 inches
Answer:
36% probability that she will find an acceptable house in the first two weeks that she looks.
Step-by-step explanation:
For each house, there is a 20% probability of it being acceptable. And a 100-20 = 80% of not being acceptable
What is the probability that she will find an acceptable house in the first two weeks that she looks (round off to second decimal place)?
She only looks one house a week.
So this is the same as the probability of taking two or less weeks to find a house.
The are two outcomes
Finding an acceptable house in the first week, with 20% probability
Not finding an acceptable house in the first week, with 80% probability, and then finding an acceptable house in the second week, with 20% probability.
Probability:
36% probability that she will find an acceptable house in the first two weeks that she looks.
Check the picture below.
so, if we get the whole area of the figure, which will be the combined areas of those three rectangles, and if we get the area of the triangle, and then subtract that area from of the triangle from the whole figure's area, we're in effect making a whole in the total area, and what's leftover is the shaded area.
