Answer:
C. 1/9 sq yd
Step-by-step explanation:
1/3 * 1/3 = 1/9
Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,
volume = Bh
V = (πD²/4)h
where D is diameter and h is the height. Substituting the known values from the given above,
486 cm³ =((π)(9 cm)²/4) x h
The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm.
Answer:
z = 4
y = -1
x = 2
Step-by-step explanation:
x - y = 3
Therefore => x = 3 + y
y + 2z =7
Therefore => y= 7 - 2z
We have the equation :
2x + 3y + 4z = 17
2(3 + y) + 3(7 - 2z) + 4z = 17
6 + 2y + 21 - 6z +4z = 17
2(7 -2z) - 2z + 27 = 17
14 - 4z - 2z + 27 = 17
-6z + 41 = 17
-6z = -24
z = 4
Answer:
Step-by-step explanation:
let 7 + 3√2 be an rational number where
7+3√2 = a/b [ a and b are coprime and b is not equal to zero]
3√2= a/b-7
3√2 =( a-7b) /b
√2 = (a-7b) /3b .....(i)
Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.
