Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.
x^2 + 9.5^2 = 19.3^2
x^2 + 90.25 = 372.49
x^2 = 372.49 - 90.25
x^2 = 282.24
x = √282.24
x = 16.8
Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h
r = 1/2 the diameter = 16.8/2 = 8.4
using 3.14 for pi
Volume = 3.14 * 8.4^2 * 9.5
V = 3.14 * 70.56 * 9.5
v = 3.14 * 670.32
v = 2104.8 cubic meters
20/10=2.
14/7=2.
2 dollars per pound.
Answer:
870
Step-by-step explanation:
you take the calories per serving, 145, and multiply it by the number of servings in the bag, 3. this gives you 435, the number of calories in a bag. then you take the number of calories in a bag times the number of bags. you get 870
Answer:
Step-by-step explanation:
Whether we divide using long division or using synthetic division, the rule is the same: If, after division, there is no remainder (i. e., the remainder is zero), the divisor binomial is a factor or the associated root is indeed a root/zero/solution.
Divide 5x³+8x²-7x-6 by (x+2) using synthetic division. Use the divisor -2 (which comes from letting x+2 = 0):
--------------------------
-2 / 5 8 -7 -6
-10 4 6
------------------------------
5 -2 -3 0 Since the remainder here is 0, we know that
-2 is a root of 5x³+8x²-7x-6 and that (x+2) is
a factor of 5x³+8x²-7x-6.
Now check out the possibility that (x+1) is a factor of 5x^3 + 8x^2 - 7x - 6:
Use -1 as the divisor in synthetic division:
--------------------------
-1 / 5 8 -7 -6
-5 -3 10
------------------------------
5 3 -10 4
Since there is a non-zero remainder (4), we can conclude that (x + 1) is NOT a factor of the given polynomial expression.
