Answer:
1 1/2
Step-by-step explanation:
Turn 8 1/4 into 33/4
Then multiply 33/4*2/11 to get 66/44 then simplify to 1 1/2
Answer:
See below.
Step-by-step explanation:
So, we have:

Recall that secant is simply the reciprocal of cosine. So we can:

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.
Therefore, the possible values for theta is
5π/6 +2nπ
and
7π/6 + 2nπ
<span>First, subtract 132 from 145, then divide 145 by that answer (13) and you will get : 11.1538461538</span>
You have a square with an area of 100 meters^2.
if you decrees a pair of opposite sides by 50%. you end up with a rectangle with the area of 50 meters^2.
then you increase the other pair of opposite sides by 50%. you end up with a rectangle with the area of 75 meters^2. OK now I see what I did wrong.
The correct answer is 75%
Answer:
Step-by-step explanation:
Vertex of the given parabola = (1, -4)
Since, vertex form of a parabola is given by,
y = (x - h)² + k
Here (h, k) is the vertex
Now substitute the coordinates (1, -4) in the equation.
y = (x - 1)²- 4 [Vertex Form]
Further solve this equation,
y = x² - 2x + 1 - 4
y = x² - 2x - 3 [Standard form]
Further write this equation in the factored form,
y = x² - 3x + x - 3
y = x(x - 3) + 1(x - 3)
y = (x + 1)(x - 3) [Factored form]