Answer:
85/3
Explanation:
3x + 5 = 90
3x = 85
x = 85/3
Answer:
height = 10.5 cm (for open-top container)
Step-by-step explanation:
The area of the base is ...
A = πr²
The lateral area is ...
A = 2πrh
We want the ratio of these to be 1:6, so we have ...
πr²/(2πrh) = 1/6
6πr² = 2πrh . . . cross multiply
h = 3r . . . . . . . divide by 2πr
h = 3(3.5 cm) = 10.5 cm
The height is 10.5 cm.
When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
