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:
6.2 kilograms/ deciliters
Step-by-step explanation:
megagrams to kilograms
1 megagram = 1000 kilograms
hectoliter to deciliter
1 hectoliter = 1000 deciliter
Using conversion factors
6.2megagrams 1000 kilgrams 1 hectoliter
---------------------- * ----------------------- * -------------------------
hectoliter 1 megagram 1000 deciliters
Canceling like terms
6.2 kilograms/ deciliters
x = 0.25
Step-by-step explanation:
8x = 2
x = 2/8
x = 0.25
Answer: Below the solid line
Step-by-step explanation:
-4y - x ≥ 7
add x to both sides
-4y ≥ x + 7
divide by -4 on both sides
y ≤ -1/4x - 7/4 = (1.75)
Take the origin (0,0) and substitute it for the variables
y(0) ≤ -1/4(0) - 7/4
0 ≤ -7/4 = (1.75)
This statement is false, so you would shade on a graph, below the solid line, since this is where the origin would not be.
The line would be solid because the < is underlined.
Answer:
(- 7, 4 )
Step-by-step explanation:
Given the 2 equations
5x + 3y = - 23 → (1)
y = 4 → (2)
Substitute y = 4 directly into (1_
5x + 3(4) = - 23, that is
5x + 12 = - 23 ( subtract 12 from both sides )
5x = - 35 ( divide both sides by 5 )
x = - 7
Solution is (- 7, 4 )
