245in^2
Curved surface = 2pi x r x h = 2 x 3.1 x 3 x 10 = 186
2 ends = 2 x (Pi x r x r) = 2 x 3.1 x 3 x 3 = 55.8
Total area = 186 + 55.8 = 242in^2 approximately
Answer:
12
Step-by-step explanation:
Given: Diagonal of square= 
To find the perimeter of square, we need to find the length of sides of square.
∴ Using the formula of diagonal to find side of square.
Formula; 
Where, s is side of square.
⇒ 
Dividing both side by √2
⇒
∴
Hence, Length of side of square is 3.
Now, finding the perimeter of square.
Formula; 
⇒
∴ 
Hence, Perimeter of square is 12.
Answer:
Substitution.
Step-by-step explanation:
x+y=2
y=-x+2
2x+(-x+2)=4
x=2
(2)+y=2
y=0
Solution: (2,0)
40% of 50 is 20. So, 20/50 students who take the random sample prefer chocolate over vanilla ice cream. In order to find the number of students who prefer chocolate over vanilla ice cream out of 200 students in total, it is best to set up a proportion. Here: 20/50=x/200. Once you solve the proportion you will get x as 80.
Hope the explanation helped!
Answer:
12.68°
Step-by-step explanation:
We know all three sides (18, 80, 82), but we only need two: 18, and 82. Why? What we do here is find the arcsin of the first leg divided by the hypotenuse.
arcsin(18/82)
<em>18/82 is the same as 9/41, which equals 0.21951 repeating (all 5 digits after the decimal are repeating, by the way).</em>
arcsin(0.21951)
<em>What you see above this statement equals 0.22131 radians.</em>
0.22131 rad
<em>To convert this to degrees, multiply by 57.2957795.</em>
0.22131 * 57.2957795
<em>0.22131 times 57.2957795 is 12.680128961145.</em>
12.680128961145°
<em>The directions say the final answer has to be two decimal places. So this becomes 12.68 (0 is less than 5, so round down).</em>
12.68°
Angle A is 12.68°.