Answer:
b
Step-by-step explanation:
Answer:
w = 12
Step-by-step explanation:
We are given the equation:

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

Simplify the expressions/equations:

Isolate w-variable:

Hence, the solution is w = 12
If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!
Answer:
V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²
Step-by-step explanation:
a) Volume
The formula for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓π × 6² × 9
V = ⅓π × 36 × 9
V = 108π cm³
V ≈ 339.3 cm³
=====
Curved surface area
The formula for the lateral surface area (L) of a cone is
L = πr√(r² + h²)
L = π×6√(36 + 81)
L = 6π√[9(4 + 9)]
L = 6π√(9 × 13)
L = 18π√13 cm²
L ≈ 203.9 cm²
===============
b) Base surface area
The base is a circle, so the formula for base surface area (B) is
B = πr²
B = π×6²
B = 36π cm²
B ≈ 113.1 cm²
=====
Total surface area
A = L + B
A = 18π√(13 +36π)
A = 18π(2 + √13) cm²
A ≈ 203.9 + 113.1
A ≈ 317.0 cm²
9514 1404 393
Answer:
2662.50
Step-by-step explanation:
Let s represent her old salary. Then we have ...
0.065s = 162.50
s = 162.50/0.065 = 2500
Then her new monthly salary is ...
new salary = old salary + raise
new salary = 2500 +162.50
new salary = 2662.50