Yes, every right triangle has two complementary angles.
This is because you know that the interior angles of a triangle have to add up to 180 degrees.
A right angle is 90 degrees, so the remaining two angles have to add up to (180-90) degrees, or 90 degrees.
Two angles whose sum is 90 degrees are complementary.
f = amount of fliers expected to be mailed in 1 day.
a)
so, she has 5 days to mail those fliers, so
day 1........... 1f mailed out
day 2........... 2f mailed out
day 3........... 3f mailed out
day 4........... 4f mailed out
day 5........... 5f mailed out
so she'll be mailing out a total of 5f fliers, we know whatever "f" is, that total must be at least 850, now, it could be more, no less, could also be 850 exactly, but could also be more, 5f ⩾ 850.
b)
Answer:
The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.
Answer:
c
Step-by-step explanation:
because 4.2+7.6= 11.8, so it is higher than the third side
1) An operator is missing in your statement. Most likely the right expression is:
2x
f(x) = -------------
3x^2 - 3
So, I will work with it and find the result of each one of the statements given to determine their validiy.
2) Statement 1: <span>The
graph approaches 0 as x approaches infinity.
Find the limit of the function as x approaches infinity:
2x
Limit when x →∞ of ------------
3x^2 - 3
Start by dividing numerator and denominator by x^2 =>
2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2
2/∞ 0 0
Replace x with ∞ => ------------ = ------- = ---- = 0
3 - 3/∞ 3 - 0 3
Therefore the statement is TRUE.
3) Statement 2: The graph approaches 0 as x
approaches negative infinity.
</span><span><span>Find the limit of the function as x approaches negative infinity:
2x
Limit when x → - ∞ of ------------
3x^2 - 3
Start by dividing numerator and denominator by x^2 =>
2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2
2/(-∞) 0 0
Replace x with - ∞ => ------------ = ---------- = ---- = 0
3 - 3/(-∞) 3 - 0 3
Therefore, the statement is TRUE.</span>
4) Statement 3: The graph approaches 2/3 as x approaches
infinity.
FALSE, as we already found that the graph approaches 0 when x approaches infinity.
5) Statement 4: The graph approaches –1 as x approaches negative infinity.
</span>
FALSE, as we already found the graph approaches 0 when x approaches negative infinity.
