Hello again Charlesbabegirl! :)
First of all, let's say that the sum of all internal angles of a triangle is always 180°
This means that if you add up angles A, B and C you get 180 but we should find first the value of x by setting up a proportion of this type:
A + B + C = 180
12x + 12 + 15 + 3x + 18 = 180
Move all the known terms (those that don't have x) to the right with changed sign.
12x + 3x = 180 - 12 - 15 - 18
15x = 135
Divide both terms by 15
x = 9
Then plug the value of x...
m∠A = 12(9) + 12 = 108+12 = 120°
m∠C = 3(9) + 18 = 27 + 18 = 45°
Hope I helped and let me know if I was right!
Answer:
v = 3πr^2
- Step-by-step explanation:
v=1/3bh
v=1/3(πr^2)h [because the bases are equal and the base of a cone is circle]
v=1/3(πr^2)(3r) [because the height is 3 times the radius]
v=π3r^2 [1/3 and 3 cancel and we times 3r and r^2]
Answer:
1734.1591
Step-by-step explanation:
Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
projected output in 2016 = ($1.8 B) x (0.916)
= $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B.
Five 3 lb bags (5 x 3 = 15 lbs) for 8.79 per bag (5 * 8.79 = 43.95)
two 5 lb bags (2 x 5 = 10 lbs) for 13.90 per bag (2 * 13.90 = 27.80)
average cost per lb : (43.95 + 27.80) / (15 + 10) = 71.75 / 25 = 2.87
so the average cost per lb is $ 2.87
