Answer:
The length of arc EF is 11.3
Step-by-step explanation:
Since both angles are congruent, we can say that they are equal in value
Mathematically, the length of an arc can be calculated using the formula;
L = theta/360 * 2 * pi * r
where theta is the angle subtended and r is the radius of the circle
So for circle A, we have;
18.08 = theta/360 * 2 * π * 8
theta = (360 * 18.08)/16π
Theta = 406.8/π
Now we shall substitute this angle in the second circle to get its length
L = 406.8/π * 1/360 * 2 * π * 5
L = 406.8/36 = 11.3
V=πr^2h
V= volume, r=radius, and h=height
Plug in what you know.
1,728= 3.14*r^2*22
Combine like terms.
1,728= 69.08*r^2
Divide both sides by 69.08.
25. 0144759.... Round down to 25.
25=r^2
The square root of 25.
r=5
The radius is about 5 centimeters.
I hope this helps!
~kaikers
Answer:
B
Step-by-step explanation:
CORRECT 100%!!!!!!!!!!!!!!!
The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.
<h3>
Amount of sugar and water needed</h3>
Ratio=Lemon juice: Sugar: Water=1:2:8
Table spoons sugar needed=6×2=12
Table spoons water needed=6×8=48
Since 1 cup equals 16 tablespoons
Hence,
Sugar
12 tablespoons=1/16×12 cup
12 tablespoons=3/4 cup
Water
48 tablespoons=1/16×48
48 tablespoons=3 cups
Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.
Learn more about amount of sugar and water needed here:brainly.com/question/9109790
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Answer:
C
HOWEVER: "Less Than" is usually depicted as a dashed line at the border. and there MUST be an OR between these two equations to include all of the blue area. An "and" there would exclude the area between the edge lines.
Step-by-step explanation:
2x + y < 10
y < -2x + 10
3x + 2y < 12
2y < -3x + 12
y < -1.5x + 6
