Answer:
mArc A B = 120° (C)
Step-by-step explanation:
Question:
In circle O, AC and BD are diameters.
Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.
What is mArc A B?
a)72°
b) 108°
c) 120°
d) 144°
Solution:
Find attached the diagram of the question.
Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x
From the diagram,
m Arc AOC = 180° (sum of angle in a semicircle)
∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)
x° +x° + x° =180°
3x = 180
x = 180/3
x = 60°
m Arc DOB = 180° (sum of angle in a semicircle)
∠AOB + ∠AOD = 180° (sum of angles on a straight line)
∠AOB + x° = 180
∠AOB + 60° = 180°
∠AOB = 180°-60°
∠AOB = 120°
mArc A B = 120°
10.4375
12.875×2=25.75 46.625-25.75=20.875 20.875÷2=10.4375
Answer:
9.42 units (3 s.f.)
Step-by-step explanation:
Circumference of circle= 2πr
Radius
= diameter ÷2
= 3 ÷2
= 1.5
Circumference of circle
= 2(π)(1.5)
= 3π
= 9.42 units (3 s.f.)
Answer:
So, the present accumulated value is, $ 49557.69
Step-by-step explanation:
According to the question, payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. So, present accumulated value, =
$ 
= $ 
$ 49557.69
So, the present accumulated value is, $ 49557.69
Answer:
2.8
Step-by-step explanation:
the question says.... that we have 5 red, 6 green and then 3 blue....
we would 5+6+3=14 .....then 14÷5...because it was a red ball..... so 14 ÷5 = 2.8