Answer:
37.9 degrees
Step-by-step explanation:
Using the law of sines, 
. It follows that 
. Therefore, 
.
Answer:
X= -8
Step-by-step explanation:
4-12=-8
You must reverse the problem so that you are solving for x, rather than 4.
The easiest way to solve this problem is by using the Pythagorean theorem :D
Pythagorean theorem: [-b +- sqrt(b^2 - 4ac)]/2a
5 = a
-1 = b
6 = c
therefore, by plugging these values in!
[-(-1) +- sqrt((-1)^2 - 4(5)(6))]/2(5)
[1 +- sqrt(1 - 120)]/10
Oh so we're using imaginary numbers, so in this case you'll need to know that i = sqrt(-1), so keep this in mind (I can see why this was so difficult)
[1 +- sqrt(119)*i]10
answers:
( 1 + i*sqrt(119) ) / 10
( 1 - i*sqrt(119) ) / 10
Solving'' an inequality<span> means </span>finding<span> all of its solutions. A "solution'' of an </span>inequality<span> is a number which when substituted for the </span>variable<span> makes the </span>inequality<span> a true statement. ... </span>Rule<span> 3b. Multiplying/dividing by the same NEGATIVE number on both sides AND changing the ... All real </span>numbers<span> less than 1 solve the </span>inequality<span>.</span>
Answer:
14 quarters and 28 nickels
Step-by-step explanation:
System of Equations where x = number of quarters and y = number of nickels
(1) equation with value of each coin
0.25(x)+0.05(y) = 4.90
(2) total number of coins
x + y = 42
Solve system of equations using either substitution or elimination
(elimination multiplying equation 2 by -0.5)
.25(x) + 0.05(y) = 4.90
-0.05(x) - 0.05(y) = 42 * (-0.05)
(3) Resulting equation
.20(x) = 2.8
x = 14
plug x into equation 2
14 + y = 42
y = 28
There are 14 quarters and 28 nickels in Mary's collection.
