Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
Answer:
12% decrease
Step-by-step explanation:
50 - 44 = 6
6/50 = 0.12 or 12% decrease
The water tank hold 863.50 
of water.
<h3>What is Volume of cylinder?</h3>
The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.
The water tank is in the shape of cylinder whose radius = 5 feet
and, height= 11 feet
Volume of water tank =
= 3.14 * 5 * 5 * 11
= 3.14*25*11
= 863.50
Hence the water tank hold 863.50 of water.
Learn more about Volume of cylinder here:
brainly.com/question/16788902
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Answer:
1) x=3, y=-3
Step-by-step explanation:
10x + 7y = 9 —— (1)
-4x -7y = 9 —— (2)
(1) + (2)
6x = 18
x = 18/6
x = 3
put x=3 in (1)
10(3) + 7y = 9
30 + 7y = 9
7y = 9 - 30
7y = -21
y = -21/7
y = -3
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Answer:
what the heck i think pre-alegbra is hard what do they expect from us ? the mother freaking world ? like no
Step-by-step explanation:
