Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is 
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
Step-by-step explanation:
(a) 1.56×10^4 = 1.56×10000 = 15,600
(b) There are 3600 seconds in an hour, so Andrew's time was
15600 s/(3600 s/h) = 13/3 h = 4 1/3 h
1/3 hour is 20 minutes, so Evelyn's time of 4:16 is shorter than Andrew's time of 4:20.
Answer:
<h2>
Your Answer is C!!!!!!!!!</h2>
Steps:
Add 2y to both sides:
Simplify:
Multiply both sides by 2:
2·
·6+2·2y
Simplify:
x>-12+4y
Answer:
2a = 108
Step-by-step explanation:
the 3 angles of the triangle add to 180
lets call the unknown angle in the triangle y
a+10 + y + 44 = 180
we also know that 2a+ y = 180 because it makes a straight line
solve this for y by subtracting 2a from each side
2a +y = 180
y = 180 -2a
now we can substitute this into the triangle equation
a+10 + y + 44 = 180
a+10 + 180 -2a + 44 = 180
combine like terms
-a +234 = 180
subtract 234 from each side
-a = --54
divide each side by -1
a =54
the exterior angle is 2a
2* 54
108
