Lateral Area of a cylinder is ; 2πR.H
R=12 mm and H= 15 mm
Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
Answer: x= 54
Step-by-step explanation:mathhhhh
Using the law of cosine for Triangle KJL, we can write:
![j^{2} = k^{2} + l^{2}-2(k)(l)cos(J) \\ \\ 2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\ \\ cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}](https://tex.z-dn.net/?f=%20j%5E%7B2%7D%20%3D%20k%5E%7B2%7D%20%2B%20l%5E%7B2%7D-2%28k%29%28l%29cos%28J%29%20%20%5C%5C%20%20%5C%5C%20%0A2%28k%29%28l%29cos%28J%29%3Dk%5E%7B2%7D%20%2B%20l%5E%7B2%7D-%20j%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0Acos%28J%29%3D%20%5Cfrac%7Bk%5E%7B2%7D%20%2B%20l%5E%7B2%7D-%20j%5E%7B2%7D%7D%7B2%28k%29%28l%29%7D%20%20)
Using the values of k,j and l, we can write:
![cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)} \\ \\ cos(J)= 0.664 \\ \\ J= cos^{-1}(0.664) \\ \\ J=48.39](https://tex.z-dn.net/?f=cos%28J%29%3D%20%5Cfrac%7B%204%5E%7B2%7D%20%2B%20%282.89%29%5E%7B2%7D%20-%203%5E%7B2%7D%20%7D%7B2%284%29%282.89%29%7D%20%20%5C%5C%20%20%5C%5C%20%0Acos%28J%29%3D%200.664%20%5C%5C%20%20%5C%5C%20%0AJ%3D%20cos%5E%7B-1%7D%280.664%29%20%5C%5C%20%20%5C%5C%20%0AJ%3D48.39%20)
Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
Answer:
He must sell 1390 carrots
Step-by-step explanation:
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
1387.5
multiply 30 by .3 to get $9 for 30 carrots
Then add $3 to this amount to get $12 dollars.
Divide 555 by 12 to get 46 R3.
Multiply 46 by 30 because its 46 bundles of 30 carrots
Then divide the 3 dollars by .3 for each carrot to get 10 carrots
1380+10 = 1390
I believe it's the 3rd one