Answer:
Each student gets 4 green stickers and 5 purple stickers or a total of 9 stickers.
Explanation:
The greatest common divisor (GCD) of two or more natural numbers or integers (not numbers with decimals) is the largest number that divides them. In other words, the Greatest Common Divisor is the greatest of the common divisors of several numbers. To calculate it, each of them is decomposed into prime factors. The GCD is the result of multiplying the factors that are repeated in all the decompositions, affected by the smallest exponent.
In the event that no factor is repeated, the GCD of those numbers is 1, and the numbers are said to be "prime to each other."
In this case, the decomposition of 12 and 15 is:
12 = 2²*3.
15=3*5
So the GCD between 12 and 15 is 3
Now, to calculate how many green and purple stickers each student receives, you simply divide the amount of each sticker color by 3.
12÷3= 4
15÷3= 5
So, <u><em>each student gets 4 green stickers and 5 purple stickers or a total of 9 stickers.</em></u>
Answer:
P =105.44 W
Explanation:
Given that
D= 10 cm ,L= 60 cm
d= 0.1 cm ,B= 6.4 mT
ρ= 1.7 x 10⁻⁸ Ω · m
The number of turns N
N= L/d
N= 60/0.1 = 600 turns
Length of wire
Lc= πDN
Lc= 3.14 x 0.1 x 600
Lc=188.4 m
The magnetic filed given as
Now by putting the values
I=5.09 A
The resistance R given as
R=4.07 Ω
Power P
p =I²R
P= 5.09² x 4.07 W
P =105.44 W
Answer:
Explanation:
The gravitational force acting on the ball, F = 10 N (down) The air resistance acting on the ball, f = 1 N (up) We need to find the magnitude of net force acting on the ball. The net force is given by : F' = 9 N. So, the net force acting on the ball is 9 N in downward direction. Hence, this is the required solution
A foliated texture
i have to write 20 characters so ignore this
Answer:
1. It won't break
2. 0.5 squared meters
Explanation:
1. Pressure (P) is force (F) exerted over an area(A). Greater the force or smaller the area, the pressure will be greater. This is presented by an equation:
P = F / A
This metallic object can be placed on the table in 3 different positions, depending on which its side is pressed against the table. Since its dimensions are 3 • 6 • 8 m, surface areas of these sides are:
A1 = 3 • 6 = 18m^2
A2 = 3 • 8 = 24m^2
A3 = 6 • 8 = 48m^2
It is already stated that the smaller are, greater the pressure, so this object will exert the greatest pressure if it's placed on the table with its 18m^2 side. In this case, pressure will be:
P = 400N / 18m^2
P = 22.2 N/m^2 (N/m^2 is the same unit as Pascal)
So, the table can withstand 250 Pa of pressure, the object exerts only 22.2 Pa, which means that the glass table won't break.
2. Again, we need to know the equation that connects the force and the pressure, and that is:
P = F / A
In this case, we have both the force and the pressure, and we want to find the surface of the area. From the previous equation, area can be found as:
A = F / P
A = 20N / 40Pa (N/m^2)
A = 0.5 m^2
So, the answer is: this pressure is exerted on the area of half of squared metar.