Answer:
D
Step-by-step explanation:
First, let's find <em>x</em>.
We know that one of the angles is 30. The side opposite to than angle is 11, and <em>x</em> is the adjacent side to it. Therefore, we can use the trig function tangent.
Recall that:
Plug in 30 for the angle, 11 for the opposite, and <em>x</em> for the adjacent. Solve for <em>x</em> by cross-multiplying:
From the unit circle, recall that tan(30) is equal to one over the square root of 3. Thus:
Now, we can use the Pythagorean Theorem to find <em>y</em>. <em>y</em> is the hypotenuse. Thus:
Answer:
14
Step-by-step explanation:
there are two days whose mean is 11.for you to get the mean of 11 you had divided by 2
multiply 11 by 2 which is 22
then minus fridays which is 8
Answer:
√13 + 3 = x
-√13 + 3 = x
Step-by-step explanation:
y = x² - 6x - 4
0 = x² - 6x - 4
0 + 13 = x² - 6x - 4 + 13
13 = x² - 6x + 9
13 = (x-3)²
±√13 = x-3
±√13 + 3 = x
√13 + 3 = x
-√13 + 3 = x
Answer:
30 minutes
Step-by-step explanation:
If we have 2 points, we can find the slope
m = (y2-y1) / (x2-x1)
(0,24) and (5,20)
m = (20-24)/(5-0)
= -4/5
We know the y intercept (where x=0) (0,24)
We can write an equation for the line in y =mx+b
y = -4/5x+24
We want y = 0 (when the diameter is 0)
0 = -4/5 x +24
Subtract 24 from each side
-24 = -4/5 x +24-24
-24 = -4/5 x
Multiply each side by -5/4 to get x alone
-5/4 * -24 = -5/4 * -4/5 x
30 = x
