Answer:
- x = 6√2
- x = √3
Step-by-step explanation:
1. You have correctly written the relationship between the side lengths and the length of the hypotenuse for these isosceles right triangles.
For this problem, you simply need to multiply the side length by √2. The length of the hypotenuse is then ...
x = 6√2
___
2. The side length multiplied by √2 is √6. You know
√6 = √(2·3) = (√2)(√3) = (√2) · (side length)
so we know that x = √3.
Answer:
The answer is angle 4 and angle 2
For this problem, you need to set up a proportion. For every three green there are five yellow, so your first fraction is 3/5. For the second fraction, plug 95 into the denominator. You should have an equation of 3/5 = x/95, x being the number of green. After cross multiplying (95(3)/5), you should get an answer of 57 green. Hopes this helps!
Answer:
cos(x=pi/4)= 
Step-by-step explanation:
Remember that 
We need to find cos(x) from the above equation.
cos(x)= 12) / 13. This solution is positive since cos(x) in the range (2pi/3, 2pi) is positive.
Now, to obtain cos(x+pi/4) lets use the relation for cos(a+b)= cos(a)*cos(b)-sin(a)*sin(b)
where a=x, b =pi/4
Hence
cos(x+pi/4) =cos(x)*cos(pi/4) - sin(x)*sin(pi/4)
cos(x+pi/4) = 
cos(x=pi/4)=
So, to get the answer you have to subtract the old height to the new one..
First, 4 3/4 = 19/4 because we have to get a fraction, rather than a mixed number. 4x4=19+3= 19/4
Now, changing the other mixed number, 5 3/8 . 5x8=40+3= 43/8
We have to get both denominators(the bottom half of the fraction) to be the same.
19/4 and 43/8, 19/4 the denominator is 4 and if you times it by 2 you'd get 8 which would be the same denominator as the other fraction.
What ever you do to the top you do to the bottom, so you time 19 as well.
So, now 19/4 becomes 38/8 and now we subtract.
38/8-43/8= -5
There you go..
