Answer:
706.5m^2
Step-by-step explanation:
The sign is a circle
Area of a circle is (pi)r^2
d = 30 in -> r = d/2 = 30/2 = 15
Area = 3.14 x (15)^2 = 706.5m^2
Answer:
Step-by-step explanation:
hello:
x²-4x=0 means : x(x-4)=0
x=0 or x-4=0
conclusion : x=0 and x= 4 ...answer : B
Answer:
347,168 rounded to the nearest ten thousands would be 350,000.
Step-by-step explanation:
When rounding to the nearest ten thousands, you rely on the thousands place value to indicate whether to round up or down. 5 or higher give it a shove, 4 or less let it rest. 7 is in the thousands place meaning we round up. 4 is in the ten thousands place meaning it becomes 5. 347,168 rounded to the nearest ten thousands would be 350,000.
Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given



Required
The work done
First, we calculate the spring constant (k)




So:


The work done using Hooke's law is:

This gives:

Rewrite as:

Integrate

This gives:




Convert to Nm

