Using law of cosines:
Cos(angle) = adjacent/ hypotenuse
Cos(22) = 12/x
Rewrite to get:
X = 12/cos(22)
Simplify:
X = 12.9424
Round the answer as needed.
Answer:
2 5/6
Step-by-step explanation:
2 2/4 + 1/3
First, you have to make the bottoms of the fraction the same, by figuring out the lowest common denominator. In this case it would be 12. 4x3 = 12. 3x4 = 12.
Multiply the top number by the same number you multiplied the bottom by.
We multiplied the 4 by 3, so we would also multiply the 2 by 3 (which would be 6).
Do the same for the second fraction. 1x4 = 4.
Now we have 2 6/12 + 4/12. We add the top numbers together and we get 10/12.
Now we have to reduce the fractions. We can do this in this situation by just dividing the top and bottom numbers by 2.
2 5/6
In order to determine the vertex of this, you can complete the square. To do that, first set the equation equal to 0, then move the -35 over to the other side by adding. That gives us

. Now we can complete the square. Do this by taking half of the linear term, squaring it, and adding it in to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. So we add 1 to both sides, creating something that looks like this:

. We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process.

. Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent. It is (1, -36). You find the x-intercepts when y = 0. That means you need to set your original equation equal to zero and factor it. The easiest, surest way to do this is to use the quadratic formula. Doing that gives us x values of 7 and -5. And you're done!
Answer:
A. 14,000
Step-by-step explanation:
because 673 rounded would equal 700
and 18 rounded would be 20
so 700x20 would be 14,000
hopefully you understand
and i hope you have a good day :)
You answer is correct. For example
Even:
16+4 = 20
194+4=198
Odd:
13+4=17
235+4=239