Answer:
40 (cm)
Step-by-step explanation:
0. make up a new picture with additional elements (radius of the inscribed circle, it's 'x'; and some elements as shown in the attached picture);
1. the formula of the required perimeter is P=a+b+c, where c- hypotenuse.
2. apply the Pythagorean theorem: a²+b²=c², where c - hypotenuse, then calculate value of 'x' (attention! x>0, the length is positive value !)
3. substitute 'x' into the formula of the required perimeter. The result is 40.
PS. All the details are in the attached picture, answer is marked with red colour.
Answer:
548.522077317
Sorry if this is wrong I don't know a lot about circle arcs
Answer:
c) 50
Step-by-step explanation:
We have been given that the mean life of a particular brand of light bulb is 1200 hours. About 95% of this brand of bulbs will last between 1100 and 1300 hours.
We will use z-score formula to solve our given problem.
, where,
,
,
,
We know that 95% of data points lies within two standard deviation of mean, so 1100 will correspond to a z-score of -2 and 1300 will correspond to a z-score of 2.
We can use sample score 1300 and get same answer as:
Therefore, the standard deviation of the light bulbs’ life is 50 years.
Answer:
Step-by-step explanation:
The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance). A property of circles is: a tangent is perpendicular to the radius drawn to the point of tangency.
In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.
Apply the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2
Oh, and the diameter has length 2x!
