First, subtract 5 from both sides, leaving you with 5
- 30x - 5 = 0
If you use the quadratic formula (a=5), (b=-30), (c=-5)
x=-b +/- √b²-4ac / 2a
x= -(30) +/- √(30)² - 4(5) * (-5) / 2(5)
x= 30 +/- √1000 / 10
x = 3 +/- √10
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
Hi!
We will solve this using proportions, like this:
3/4 cup for 8 slices of pie
x cup for 48 slices of pie
_______________________
x = ((3/4)*48)/8
x = (3*48)/(4*8)
x = 144/32
x = 4,5
You need 4 1/2 cups of white sugar for 48 slices of pie.
Hope this helps!
answer is 2
Step-by-step explanation:
2 times 2 equals 4
and 8 divided by 4 equals 2
Answer:
Graph A: y = (1/2)x - 2
Step-by-step explanation:
2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2
The slope of this line is 1/4 and the y-intercept is -2. This is represented by Graph A.
