Radian to degree conversion.
4(pi)/3 degrees= 4(pi)/3 × 180/pi radians
As pi radians= 180 degrees
Dividing both sides by pi :
pi / pi radian= 180/pi degrees
1 radian=180/pi degrees
4 × pi /3 × 180/ pi
pi and pi gets cancelled.
180/3= 60
4× 60
=240 degrees
Answer is option C.
Answer:
They are not equivalent expressions
Step-by-step explanation:
y + 6 = 15
y = 9
3(y + 6) = 15
y + 6 = 5
y = -1
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
0.75x-18.5=0.65x
0.75x-0.65x=18.5
0.1x=18.5
x=18.5/0.1=185
Answer: x=185
To checkt:
0.75(185)-18.5=138.75-18.5=120.25
0.65(185)=120.25
I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
