Answer:
y = -1
x = 1
Step-by-step explanation:
as I have done the equation in the picture, I decided to re-write the second equation so that it's easier for me to use.
Answer:
the answer is 55%
Step-by-step explanation:because 1,100 is 55% of 2,000
HOPE THIS HELPS:)
Answer: length of wire = 500cm
Step-by-step explanation:
We would determine the volume of material used in making the hollow cylindrical iron pipe by subtracting the volume of the inner pipe from the volume of the outer pipe.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Volume of inner pipe = π × 6² × 35 = 1260π
Volume of outer pipe = π × 8² × 35 = 2240π
Volume of material used in making the hollow cylindrical iron pipe is
2240π - 1260π = 980πcm³
The solid wire made is cylindrical and has a thickness of 2.8cm. This is the diameter. It means that the radius of the wire is 2.8/2 = 1.4cm
Volume of wire = 980πcm³
Applying the volume of cylinder formula, it becomes
980π = π × 1.4² × h
where h = length of wire
h = 980/1.4² = 500cm
Total miles = 70 + 70 = 140 miles
Total time = 140 miles / 57 mph = 2.456 hours
Time 1: 70 miles / 70 mph = 1 hour
Time 2: 70 miles / x mph
Total time = time 1 + time 2:
2.456 = 1 hour + 70/x
Subtract 1 hour from both sides:
1.456 = 70x
multiply both sides by x:
1.456x = 70
Divide both sides by 1.456:
x = 70/1.456
x = 48.0769 miles per hour
Rounded to 2 dp = 48.08 miles per hour
Answer:
SA = 3,600π cm²
Step-by-step explanation:
You are given the formula, and the diameter. The formula uses radius, which is 1/2 of the diameter. In this case, r = 30. Plug that into the formula and simplify...
SA = 4π(30²)
SA = 4π(900)
SA = 3,600π