ST is not he midpoint of SN because y=15 and if you plug in you get SN to be 150 but ST is only 64 which is not half of 150
17/5×5/4=17/4
Hope this helps
I can't tell you the answers cause that's cheating but I can explain how to do it.
Let's use number 1 for an example. It says 1/2 x 2 1/3. First what we want to do is turn all mixed numbers into fractions. So how to do that is take the whole number, in this case 2, and multiply it by the denominator, which in this case is 3. The answer you will get is 6. Then you have to add the numerator onto that, which means 6 + 1 = 7. So now the equation is 1/2 + 7/3. Now you can just multiply both numerators and denominators, so 1 x 7 and 2 x 3, and you will get 7/6, which can be converted to 1 1/6. Apply this method to any of those problems.
Hope this helped!
~Cheers, Brannan.
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
560% as a decimal = 5.6
(move the decimal points 2 spaces to the left.)
560% as a mixed number = 5 3/5
(divide 560 by 100; 100 goes into 560 5 times so 5 will be your whole number and since you have 60 left you divide 60 by 100; 60/100 can be reduced to 3/5 if you divide the numerator and the denominator by 20)
hope this helps :)
