Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
Answer: The upper quartile is 12.
In a box and whiskers plot, the point on the right edge of the box is called the upper quartile. In this case, that value is 12. It represents the median of the upper half of the set of data.
Answer: Domain of function is
or (0,
)
Step-by-step explanation:
Assuming x as width of rectangle
so, Width = x
Question says, Length is 5in more than 3 times id width.
we write as Length = 3x+5
Therefore, Area of rectangle will be given function f(x)
f(x) = x(3x+5)
Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.
we can write in equation as


Thus, Domain of function is
or (0,
)
Subtract 5y - 8 from 2y + 8
To subtract two numbers, we can do it like this:
10 - 4 = 10 + (-4)
That is, add the first number with the second number with its sign changed. For simple numbers, it does not make much difference, but for algebraic expressions, it can help a lot.
To subtract both binomials, we write the first plus the second with changed signs:
2y + 8
-5y + 8
---------------
-3y + 16
The result of the subtraction is -3y+16
<span>In the form of a/b = c/d in proportions in math,
the outer terms are called the extremes and the inner terms are called means.
In the given 3/4 = 15/20, the outer terms or the extremes are 3 and 20.</span>