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:
Step-by-step explanation:
the sum of 2 number is 28
x + y = 28
x is 3 times the second number y
x = 3y
Using the law of sines:
Sin (angle) = opposite leg / hypotenuse
Sin(30) = 14 /x
x = 14 * sin(30)
x = 28
Answer:
The y-intercept for this equation is 22.
Step-by-step explanation:
You can solve this quite easily by assigning a zero value to x and solving for y. That is where the curve will intersect the x-axis:
y = 2(x - 3)² + 4
y = 2(x² - 6x + 9) + 4
y = 2x² - 12x + 18 + 4
y = 2x² - 12x + 22
<em>EDIT</em>
<em>Note that the expression above is in standard form, though it can also be factored if needed:</em>
<em>y = 2(x² - 6x + 11)</em>
Now we can solve for an x value of zero:
y = 2(0)² - 12(0) + 22
y = 22
So the y-intercept is 22.
