Answer:
7 : 17.29
Step-by-step explanation:
==>Given:
Two similar cylinders:
Surface area of Cylinder A = 49cm²
Surface area of Cylinder B = 121cm²
==>Required:
Scale factor between both cylinders
==>Solution:
We can easily get the scale factor between both by taking the following steps:
=>Set up a ratio of their surface area:
Smaller cone surface area : larger cone surface area
49:121
= 49/121
=>Simplify the ratio gotten:
Dividing the denominator and the numerator by 7, would give us,
7/17.29
= 7:17.29
117,150
5% of 71,000 is 3,550, 3,550 c 13(years) = 46,150(what the company will add to his salary) 71,000 + 46,150 = 117,150
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Answer:
The answer is "0.1190".
Step-by-step explanation:
Given:
