Answer: 6
Step-by-step explanation:
12 = 2^2 • 3
30 = 2 • 3 • 5
72 = 2^3 • 3^2
Answer: The voltage across an identical resistor = 60 Volts
Step-by-step explanation:
Step 1
Given that voltage across the resistor is directly proportional to the current running through the resitor.
Mathematically, it would be represented as
Voltage ∝ Current
Introducing the constant of proportionality, k which represents the Resistor as it is constant.
we have that
Voltage = K x Current
When current = 12 amps and voltage = 480v, the constant of proportionality K
480 = k x 12
k = 480/12
k= 40
Step 2 ,
when current = 1.5 amps
Voltage = ?
Using our equation that
Voltage = K x Current
Voltage = 40 x 1.5
Voltage = 60 Volts
Answer:
7088 m²
Step-by-step explanation:
The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...
A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²
The area of the bottom part of the box is the sum of its lateral area and its base area.
lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²
base area = lw = (0.8 m)(0.6 m) = 0.48 m²
The total area is then ...
total area = half-cylinder area + lateral area + base area
= 1.0362 m² +2.1 m² +0.48 m²
= 3.6162 m²
__
The area for 1960 mailboxes will be 1960 times this area, or ...
area for week's production = 1960 × 3.6162 m² = 7087.752 m²
It will take about 7088 square meters of aluminum to make these mailboxes.
Answer:
y increases by 2
Step-by-step explanation:
1 3/10·b=39
(1·10+3)·b/10=39
13b/10=39
13b=39·10
13b=390|:13
<u>b=30</u>
<em>Answer: 30</em>
