Answer:
because of a geometry theorem since the angles have the same arc length they have the same angle measure
<u>20 degrees</u>
Answer:
Step-by-step explanation:
We have to find out which two events are disjoint.
Two events are disjoint if both cannot happen simultaneously or Probability of both occurring is strictly 0.
a) Choose a student at random from a statistics class. Event A is that the student is a junior. Event B is that the student is a senior.
These are disjoint because a student cannot be a senior and junior both.
b) Choose a student at random from a statistics class. Event A is that the student is a psychology major. Event B is that the student is a statistics major.
Disjoint because same student cannot have psychology as well as statistics as major
c. Choose a student at random from a statistics class. Event A is that the student is at least 5'8" tall. Event B is that the student weighs at least 160 pounds.
These cannot be disjoint because there are chances for some students to be taller than 5 feet 8 inches and also having weight more than 160 lbs.
their is no answer
to that problem
Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
<h3>Pythagorean theorem</h3>
The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
