Answer:
width = 2 cm
Step-by-step explanation:
are of rectangle is equal to length times width
x is the width, then length is 3x + 4
so x(3x + 4) = 20
3x^2 + 4x = 20
3x^2 + 4x - 20 = 0
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = 3
b = 4
c = -20
substitute in the formula
x = [-4 +/-√(4^2 - 4(3)(-20))]/2(3)
x = [-4 +/- √(16 + 240)]/6
x = [-4 +/- 16]/6
x1 = (-4 + 16)/6 = 2
x2 = (-4 - 16)/6 = -20/6
since the width can't be a negative number, x2 is not the right answer
so x = 2
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
when
is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:

Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.

inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
Answer:
110 R 5
Step-by-step explanation:
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Answer:
9.106
Step-by-step explanation:
The circumference of a circle with a given diameter is: 
We are given the diameter of 2.9 units.
Using 3.14 for pi:

The circumference is about 9.106 units.
Answer:
0.2 or 20%
Step-by-step explanation:
If the times of arrival vary uniformly, there is an equal chance of an employee reporting at any given time between 8:40 and 9:30.
The range between 8:40 and 9:30 is 50 minutes.
The range between 9:00 and 9:10 is 10 minutes.
Therefore, the probability that a randomly chosen employee reports to work between 9:00 and 9:10 is:

The probability is 0.2 or 20%.