Answer:
The answer is C.
Step-by-step explanation:
Hit 'em with the Law of Sines.
sin(A)/a = sin(B)/b.
Let's say x is equal to "A", thus 5 is "a".
sin(x)/5 = sin(B)/b.
We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:
a^2 + b^2 = c^2
5^2 + 20^2 = c^2
25 + 400 = 425
sqrt(425) = about 20.6, which we can now substitute "b" with.
sin(x)/5 = sin(90)/20.6
sin(x)/5 = 1/20.6
sin(x)/5 = 0.04854...
sin(x) = 0.2427...
You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
no the square root of 113 is rounded to 56x2
Answer:
Completing the table, we have;
Explanation:
Given the equation;
where y is the output and x is the input.
we were given the outputs 1,3,5.
To get the input for each of the given output let us substitute the output into the equation and solve for x;
Therefore, completing the table, we have;
Answer:
D
Step-by-step explanation:
I think its D because translation is where something is moved horisontally or vertically without moving orientation.
