Answer:
x = 11√3
y = 22
Step-by-step explanation:
In a 30-60-90 triangle, the hypotenuse is twice the shortest side.
y = 22
The long side is √3 times the short side.
x = 11√3
If you wish to use trigonometric functions:
sin 30° = 11 / y
1/2 = 11 / y
y = 22
tan 30° = 11 / x
1 / √3 = 11 / x
x = 11√3
Answer:
if 2,000 is the original rent and it increases by 20% the new rent is $2,400.
Step-by-step explanation:
this is because 10% of $2,000 is 200 so 20% is $400
Answer:
-8
Step-by-step explanation:
-4 (1)^2 -(1) -3
-4-1-3=-8
To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
