Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:
Hence, the area of the circle is 81π
Answer:
14
Step-by-step explanation:
=5+6+|-3|
=11+|-3|
=11+(-√3^2)
=11+3
=14
Answer:
option 2.
m1 = 75 , m2 = 129 , m3 = 100
Step-by-step explanation:
with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles
x + 46 + 29 = 180
x = 180 - 46 -29
x = 105
a flat angle has 180 °
m1 + 105 = 180
m1 = 180 - 105
m1 = 75
46 + 54 + y = 180
y = 180 - 46 -54
y = 80
80 = z + 29
z = 80 - 29
z = 51
as they are two crossed lines the angle is reflected from the opposite side
with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)
m2 * 2 = 360 - 51 * 2
m2 = 258/2
m2 = 129
m2 = 29 + m3
129 = 29 + m3
m3 = 129 - 29
m3 = 100
A rational number is a number that can be written in the form:
Where p and q are coprimes. We are asked for finite sets, we can rule out options 3 and 4. In the set in option 2 the first element is:
This number cannot be written a ratio. We can rule out option 2.
All the elements in the set from option 1 can be written in the form p/q.Thus, the answer is the first option.
The sum of two numbers will be zero when you have the same number and one is positive and one is negative. For example 1 + -1= 0
