Answer:
Volume of cube = 2.33 cubic feet
Length of side of cube = 1.325 feet
Step-by-step explanation:
Given
Weight of each sphere = 350 pounds
Density of each concrete = 150 pounds per cubic foot
Volume of cube = 350 pounds / 150 pounds per cubic foot
Volume of cube = 350/150 cubic feet
Volume of cube = 2.33 cubic feet
Length of side of cube = Cubic root of 2.33
Length of side of cube = 1.325 feet
Answer:
y = (-5/3)x - 4
Explanation:
The equation of a line with slope m that goes through the point (x1, y1) is:
Additionally, two lines are parallel if they have the same slope.
The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.
So, the slope of our line is also -5/3.
Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:
Finally, solving for y, we get:
So, the answer is:
y = (-5/3)x - 4
Step-by-step explanation:
the job benefits is everything he gets in addition to the regular salary.
that is here
$1945 health insurance
$ 234 life insurance
$4213 paid time off
----------
$6392 job benefits per year
Answer:
87.73 inches
Step-by-step explanation:
We are given that the dimensions of the rectangular doorway are,
Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.
Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.
i.e.
i.e.
i.e.
i.e.
i.e. Hypotenuse = ±87.73 inches
Since, the length cannot be negative.
So, the length of the diagonal is 87.73 inches.
As, the largest side of a rectangle is represented by the diagonal.
So, the largest dimension that will fit through the doorway without bending is 87.73 inches.