Answer:
D) 1
Step-by-step explanation:
When you start raising i to certain powers, you begin to notice a pattern.
This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force 
applied to an object with mass 
is directly proportional to its acceleration 
:
(1)
If we isolate :
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):
(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of 
, its mass 
will be:
(6)
(7)
Finding :
This is the mass of the object
Answer:
x = 35.4
Step-by-step explanation:
Sum of all interior angles in a triangle = 180°
Therefore:
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
x + 2 + 2x + 2 + 2x - 1 = 180
Collect like terms
x + 2x + 2x + 2 + 2 - 1 = 180
5x + 3 = 180
Subtract 3 from each side
5x + 3 - 3 = 180 - 3
5x = 177
Divide both sides by 5
5x/5 = 177/5
x = 35.4
Answer:
16
Step-by-step explanation:
This problem requires PEMDAS
Parentheses ( )
Exponents ^
Multiplication
Division
Add
Subtract
Start by solving anything in parentheses. There's an exponent within the parentheses, so we change that 2^2 into 4 and also make sure to multiply 5 x 2 before subtracting.
-4 - (2 + -24 - 4 - (4-10))
-4 - (2 + -24 - 4 - (-6))
Again, solve parentheses first.
-4 - (-22 - 4 - (-6))
-4 - (-26 + 6)
-4 - (-20)
-4 + 20
Answer is 16
Answer:
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Step-by-step explanation:
Congruent angles are equal, so m<2 = m<3
4x - 26 = 3x + 4
x = 30
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
