Answer:

Step-by-step explanation:
-The volume of a cylinder is given by the formula:

#We make r the subject of the formula:

#We then substitute for the stated volume and solve for r:

Hence, the cylinder's radius is approximately 5.00 ft
Answer:
10y=27+7
10y=34
y=34/10
y=3.4
Step-by-step explanation:
Firstly 7 is added to 27
Then adding 7 and 27
Dividing 34 by 10
A polynomial with roots a and b is (x - a)(x - b).
(x - 2)(x - (-1))(x - 4) = 0
(x - 2)(x + 1)(x - 4) = 0
has roots 2, -1, and 4.
geometry texts refer to an angle with a measure of 180° as a straight angle. In Figure 12 , ∠ BAC is a straight angle.
Step-by-step explanation:
If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is

which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.

and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).