Consider the circle with center X, as shown in the figure.
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is

units.
Answer: 8 units
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
Answer:
Step-by-step explanation:
The sample space is known to be the set of all possible outcomes of an experiment we cannot predict its outcome while the event space showcases the subset of the sample space, this may be a collection of outcomes of a random experiment.
From the given information:
The sample space = {SH, SL, SN, MH, ML, MN,UH, UL, UN}
The event that the emissions check is satisfactory = {SH, SL, SN}
Answer:
$1.65
Step-by-step explanation:
The total purchase can be described by ...
4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog
8h = 13.20 . . . . . . . . . . . subtract 5.00
h = 1.65 . . . . . divide by 8
The price of a hot dog was $1.65.