Answer:

Step-by-step explanation:
We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:
We multiply the denominator of the fraction by
.
multiplied by itself is simply 2. Try it! We also want to multiply the numerator by
, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.


We can plug 2 in for the x in the numerator now:

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of 
Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)
Answer:
Tan T = 7/24
Step-by-step explanation:
Firstly, please check attachment to have a picture of the triangle we are solving.
Now, we are concerned with calculating the ratio that represents the tangent of angle T.
Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.
In this question, our opposite is 7 while the adjacent is 24.
Thus Tan T = 7/24
7 × (-3) ×(-2)2 =
7 × -3 × -4 = (you have to eliminate all parenthesis in the equation.)
7 × -12 = -84
so your answer would be: C
9514 1404 393
Answer:
x = 2√2 ≈ 2.83
Step-by-step explanation:
The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...
x = 4/√2 = 4(√2)/2
x = 2√2 ≈ 2.83
__
You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.
It means not to get too invested in details or to become so invested in something that you can’t focus on anything else.