Answer:
Arc length is equal to
where
is the angle in radians and
is the radius.
Question 1:

So the angle is CFD.
Question 2:

So the angle is AFE.
Question 3:

So the angle is AFB.
Question 4:

So the angle is BFC.
Answer:
The number of students who scored more than 90 points is 750.
Step-by-step explanation:
Quartiles are statistical measures that the divide the data into four groups.
The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.
The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.
The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.
It is provided that the first quartile is at 90 points.
That is, P (X ≤ 90) = 0.25.
The probability that a student scores more than 90 points is:
P (X > 90) = 1 - P (X ≤ 90)
= 1 - 0.25
= 0.75
The number of students who scored more than 90 points is: 1000 × 0.75 = 750.
Answer:
5.3!
Step-by-step explanation:
( in case you need work ) the angles are congruent so you set them equal to each other!
6x+12=9x-4
you then get 16=3x then divided its 5.3!
Answer: 40, 30
Step-by-step explanation:
Answer:
b = 87°
Step-by-step explanation:
In order to answer this question, we need to utilise an important angle fact which is <em>angles in a quadrilateral add up to 360° </em>
Using the information we can set up an equation to find the value of b
→ Form equation
63 + 140 + 70 + b = 360
→ Simplify
273 + b = 360
→ Minus 273 from both sides isolate b
b = 87°