In the diagram below of circle O, the area of the shaded sector AOC is 12pi in^2 and the length of OA I'd 6 inches. Determine and state m
Answers
Based on the calculations, the measure of angle m<AOC is equal to 120°.
Given the following data:
Area of the shaded sector AOC = 12π in².
Length of OA = 6 inches.
How to determine angle m<AOC?
In Mathematics, the general equation for the area of a circle (360degrees) is given by πr².
Mathematically, the length of a sector formed by part of a circle with angle (θ) is given by:
Sector = πr² × θ/360
12π = π × (6)² × θ/360
12 = 36θ/360
36θ = 720
θ = 4320/36
θ = 120°
Read more on circle here: brainly.com/question/14478195
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Area of part of a circle with angle θ=(θ/360)*(pi*)*(r^2)
(θ/360)*pi*(6^2)=12*pi
solving, θ=(12/36)*360
θ=120 degress
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when 15 is subtracted from the measure of an angle, the result is the measure of a right angle. what is the measure of the original angle?
Answers
.80 * 25 = 20
20 of the 25 right-handed players are right-handed
80% of 25 = 20
100-80 = 20
20 % of 25 = 5
----------------------
10 % 25 = 2.5
2.5+2.5=5
20%=5
Working out
Answers
First you complete whats in the parenthesis. 104/8=13
Then multiply 13 by 10 to get 130
10 × ( 104 ÷ 8)
Solution (if needed)
10 × 13
130
the expression lod3 (8-x) is defined for all values of x such as
Answers
B. x = 12, y = 6
C. x = 8, y = 4
D. x = –24, y = –12
Answers
Answer:
Option C is correct x=8 and y=4
Step-by-step explanation:
We have been given two numbers first number is x and second number is y
From first case one number is equal to two times a second number we will get
(1)
From second case two times the first number plus two times the second number is 24 we will get
(2)
On solving equation (1) and (2) by substituting in equation (2) we will get
After simplification we will get
Now, substitute we will get
Therefore, Option C is correct x=8 and y=4
x is 2 times y
x=2y
2 times first plus 2 times second is 24
2x+2y=24
x=2y
sub
2x+x=24
3x=24
divide 3
x=8
sub
x=2y
8=2y
divide 2
4=y
x=8
y=4
C is answer
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *
Taylor's family traveled 50 miles in 1 hour.
Taylor's family traveled 120 miles in 2 hours.
Taylor's family traveled 180 miles in 4 hours.
Taylor's family traveled 200 miles in 5 hours.
Answers
Answer:
120 miles in 2 hours
Step-by-step explanation:
120 = 60(2)
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =
Answers
Applying the relationship existing between angle pairs, the measure of each angle in the image are:
m<1 = 42°
m<3 = 75°
m<4 = 42°
m<5 = 63°
m<6 = 75°
m<7 = 105°
m<8 = 75°
m<10 = 75°
m<11 = 42°
m<12 = 138°
m<13 = 42°
m<14 = 138°
Given that a || b, where:
- m<2 = 63°
- m<9 = 105°, the missing angle measures will be determined as follows:
Find m<1:
m<1 + m<2 = m<9 (exterior interior angle theorem)
- Substitute
m<1 + 63° = 105°
m<1 = 105° - 63°
m<1 = 42°
Find m<3:
m<1 + m<2 + m<3 = 180° (angles on a straight line)
- Substitute
42° + 63°+ m<3 = 180°
105° + m<3 = 180°
m<3 = 180° - 105°
m<3 = 75°
Find m<4:
m<4 = m<1 (vertical angles theorem)
- Substitute
m<4 = 42°
Find m<5:
m<5 = m<2 (vertical angles theorem)
- Substitute
m<5 = 63°
Find m<6:
m<6 = m<3 (vertical angles theorem)
- Substitute
m<6 = 75°
Find m<7:
m<7 + m<6 = 180° (corresponding angles theorem)
- Substitute
m<7 + 75° = 180°
m<7 = 180° - 75°
m<7 = 105°
Find m<8:
m<8 = m<6 (alternate interior angles theorem)
- Substitute
m<8 = 75°
Find m<10:
m<10 = m<6 (corresponding angles theorem)
- Substitute
m<10 = 75°
Find m<11:
m<11 = m<4 (alternate interior angles theorem)
- Substitute
m<11 = 42°
Find m<12:
m<12 = m<6 + m<5 (alternate interior angles theorem)
- Substitute
m<12 = 75° + 63°
m<12 = 138°
Find m<13:
m<13 = m<11 (vertical angles theorem)
- Substitute
m<13 = 42°
Find m<13:
m<14 = m<12 (vertical angles theorem)
- Substitute
m<14 = 138°
Learn more here:
Answer:
a. m<1 = 105° - 63° m<1 = 42°
b. m<3 + m<2 + m<1 = 180° m<3 = 75°
c. m<4 = m<1 m<4 = 42°
d. m<5 = m<2 m<5 = 63°
e. m<6 = m<3 m<6 = 75°
f. m<7 = m<9 m<7 = 105°
g. m<8 = m<6 m<8 = 75°
h. m<10 = m<8 m<8 = 75°
i. m<11 = m<4 m<11 = 42°
j. m<12 = 180° - m<11 m<12 = 138°
k. m<13 = m<11 m<13 = 42°
l. m<14 = m<12 m<14 = 138°
Step-by-step explanation: Sorry if not all are correct