Answer:
r = 4.24 inches
Step-by-step explanation:
Given that,
The surface area of the ball, A = 226.8 sq inches
The formula for the surface area of a sphere is given by :

Where
r is the radius of the ball

So, the radius of the ball is 4.24 inches.
Answer:
Work shown below!
Step-by-step explanation:
24 ≥ 58 + 5(x - 3.8)
Distribute;
24 ≥ 58 + 5x - 19
Collect like terms;
24 ≥ 39 + 5x
Subtract 39 from both sides;
-15 ≥ 5x
Divide both sides by 5;
x ≥ -3
Answer:
This is a linear function.
Step-by-step explanation:
x is going up by 1 each time
y is going up by 10 each time
it is constant so it is a straight line
<span>Number line refers to a mathematical process of
solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally
count another 123.
Then from zero start counting the total number to the line you stopped when
adding 123 to 235.
This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here
Answer:
Step-by-step explanation:
What we have is a general equation that says this in words:
Laura's hours + Doug's hours = 250 total hours
Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:
x + x + 40 = 250 and
2x = 210 so
x = 105
Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!