Answer:
39
Step-by-step explanation:
Answer:
☑ The area of the circle depends on the square of the radius.
☑ The area of circle D is 324π cm²
Step-by-step explanation:
Answer:
Any [a,b] that does NOT include the x-value 3 in it.
Either an [a,b] entirely to the left of 3, or
an [a,b] entirely to the right of 3
Step-by-step explanation:
The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.
Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.
Answer:
c. Population
Step-by-step explanation:
All customers who come to the restaurant are the population.
The 65 randomly selected customers are the sample.
The correct answer is:
c. Population
Answer:
x= 55 degrees
w = 5
Step-by-step explanation:
Triangle PQR contains two triangles, QPS and PSR.
Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.
In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.
Therefore,
angle P and angle S are equal. Also
Line QP and line PS are equal. This means
6w - 10 = w
6w-w = 10
5w = 10
w = 10/2 = 5
Angle Q + 100 degrees = 180 ( sum of angles on a straight line)
Angle Q = 180 - 100 = 80 degrees
Angle Q = Angle S(base angles of an isosceles triangle)
Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)
Angle PSR + x + 25 = 180
x = 180 - 25 - 100 = 55 degrees
