Answer:
Yes. You can make a tree diagram with each subject at the top and the periods as the branches or with the periods at the top and each subject as a branch. Both ways provide the same number of outcomes, 18
Step-by-step explanation:
Answer:
Associative Property of Multiplication
[ 3(5) (4) = (3) 5(4)]
Identity Property of Multiplication
5(1) = 5
Identity Property of Addition
(3 + 5) + 0 = (3+5)
Commutative Property of Addition
3 + 5 = 5 + 3
Associative Property of Addition
3 + (5 + 7) = (3 + 5) + 7
Step-by-step explanation:
The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.
The identity property of 1 says that any number multiplied by 1 keeps its identity.
Hoped this helped!
Hello!

- Diameter of the circle = 12 cm

Area of the Circle

A=πr²
Hey! We have the diameter, not the radius.
Don't panic. In order to find the radius, we should divide the diameter by 2.
So, the radius is 6.
Plug it into the formula:
A=π(6)²
A=π(36)
A≈113 cm
Hope it helps!
Good luck and enjoy your day!
-SnowFlake
The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.
When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.
Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)
The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².
The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².
Answer:
The variable current is 10x.
Answer:
47 cm²
Step-by-step explanation:
3(9 - 4) + 8 × 4 = 15 + 32 = 47