Answer:
for the perimeter to be made into a equation it would take the equation
2(3x - 5) + 2(2x + 1)
And for the perimeter to equal 42 x would have to equal 5
Step-by-step explanation:
so first of all we have to find our equation to equal 42:
2(3x - 5) + 2(2x + 1) = 42
you then multiply 2 for both parentheses:
(3x * 2) + (-5 * 2) + (2x * 2) + (1 * 2) = 42
so its now:
6x -10 + 4x + 2 = 42
now your going to add variables to variables and numbers to numbers:
(6x + 4x) + ( -10 + 2) = 42
to get:
10x + (-8) = 42
Now your going to add 8 to both sides:
10x + (-8) = 42
+8 +8
Giving the equation:
10x = 50
now you divide both sides by 10 to get:
10x/ 10 = 50/10
x = 5
to solve you put 5 in place of the variable x:
2(3*5 - 5) + 2(2*5 + 1)
2(15 - 5) + 2(10 + 1)
20 + 22 = 42
So x equals 5 if the perimeter equaled 42
Common ratio = -20/8 = -2.5 Answer
Next 3 terms are 50*-2.5 , 60*(-2.5)^2 and 50 * (-2.5)^3
= -125, 312.5 and -781.25 Answer
The volume is 36 inches squared
Answer:
Step-by-step explanation:
Another way of looking at this is
, which is a first quadrant angle where x is positive (it could also be a 4th quadrant angle, and it actually ends up there, but either way we'll get to where we're needing to be). The equation asks us to find the angle theta that has a cos of 1/2. We set up the reference angle in quadrant 1. Since cosine is by definition side adjacent over hypotenuse, we put the value of 1 along the x quadrant since that's the side adjacent to the reference angle, and then put the 2 along the hypotenuse of the right triangle that we form. That means that the side across from the reference angle is the square root of 3 which makes the reference angle a 60 degree angle, or pi/3.
So
Now we need to find the csc of pi/3 - pi/2. Csc is the inverse of the sin ratio, so we can rewrite it in terms of sin:
which simplifies to
after finding a common denominator and subtracting.
is a 30 degree angle measured clockwise from the positive axis, putting that 30 degree angle into quadrant 4. On you calculator, you will find that 1 over the sin of -30 degrees is
-2.
Answer:
967354176/8725762864 because it can be a common denomonater
Step-by-step explanation: