Answer: J=12
Explanation: To make this equation easier to solve, you can make everything a whole number (a.k.a. Remove the fractions). To do so, you can multiply everything in this equation by the Least Common Multiple (LCM) of all the denominators, which is 12. The equation now becomes:
-4=3J-40
Then, solve it using normal algebra:
-4=3J-40
36=3J
J=12
Much easier, right?!
Hope that helps シ
Answer:
it is sin(1000)times 250/x
Step-by-step explanation:
If you mean "factor over the rational numbers", then this cannot be factored.
Here's why:
The given expression is in the form ax^2+bx+c. We have
a = 3
b = 19
c = 15
Computing the discriminant gives us
d = b^2 - 4ac
d = 19^2 - 4*3*15
d = 181
Note how this discriminant d value is not a perfect square
This directly leads to the original expression not factorable
We can say that the quadratic is prime
If you were to use the quadratic formula, then you should find that the equation 3x^2+19x+15 = 0 leads to two different roots such that each root is not a rational number. This is another path to show that the original quadratic cannot be factored over the rational numbers.
Answer:
sine: 5:13
cosine: 12:13
tangent: 5:12
Step-by-step explanation:
sine is opposite:hypotenuse
cosine is adjacent:hypotenuse
tangent is opposite:adjacent
Answer:
$12.18
Step-by-step explanation:
Given:
Cost of 0.8 liter bottle of Mexican wine = 101 pesos
or
cost of 1 liter bottle of Mexican wine = 
pesos
Now,
1 Mexican pesos = 0.051 dollars
thus,
cost of 1 liter bottle of Mexican wine = 
dollars
also,
1 gallon = 3.78541 Liter
Thus,
half gallon = 
= 1.892705 Liters
therefore,
cost of half gallon jug = 
dollars
or
cost of half gallon jug of wine = $12.18
