A/B : 4/9 = 12/B
cross multiply
(4)(B) = (9)(12)
4B = 108
B = 108/4
B = 27
P = 4a...where a is the length of one side
P = 4(27)
P = 108 yds <=== perimeter of square B
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
![\sqrt{1-\text{cos}^2\theta}=-\text{sin}\theta](https://tex.z-dn.net/?f=%5Csqrt%7B1-%5Ctext%7Bcos%7D%5E2%5Ctheta%7D%3D-%5Ctext%7Bsin%7D%5Ctheta)
Since, ![\sqrt{1-\text{cos}^2\theta}=\pm \text{sin}\theta](https://tex.z-dn.net/?f=%5Csqrt%7B1-%5Ctext%7Bcos%7D%5E2%5Ctheta%7D%3D%5Cpm%20%5Ctext%7Bsin%7D%5Ctheta)
If ![\sqrt{1-\text{cos}^2\theta}=-\text{sin}\theta](https://tex.z-dn.net/?f=%5Csqrt%7B1-%5Ctext%7Bcos%7D%5E2%5Ctheta%7D%3D-%5Ctext%7Bsin%7D%5Ctheta)
And sine of angle θ is negative in quadrants III and IV.
Therefore, angle θ will terminate in quadrants III and IV.
Therefore, Option (4) will be the correct option.
Answer:
284/3 πx³
Step-by-step explanation:
Volume of a cylinder is expressed as shown:
V = πr²h
r is the radius of the cylinder
r = diameter/2
r = 8x/2
r = 4x
Height of the cylinder = 6x
Volume of the roll with out the hole
V = π(4x)²(6x)
V = 16x²π(6x)
V = 96πx³
The hole in the middle will be a solid sphere with diameter 2x (radius will be x)
Volume of the hole = 4/3πr³
Volume if the hole = 4/3πx³
Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole
= 96πx³ - 4/3πx³
= (96-4/3)πx³
= 284/3 πx³
Answer:
160 ounces
Which is 10 pounds
And 4410 chip packets will equal about a ton
Step-by-step explanation:
because 20 x 8 =160
35274/8 = 4409.25
*note 35274 ounces is equal to a ton