The triangle is a right triangle with:
1) leg c opposed to angle C.
2) leg b opposed to angle B.
3) hypotenuse, a, opposed to angle A.
So, using the definitions of the trigonometric ratios, you get:
1) sin C = opposite leg / hipotenuse = c / a.
2) tan B = opposite leg / adjacent leg = b / c
=> sin C * tan B = [c / a] * [b / c] = b / a.
<span>Answer: b / a</span>
Answer:
b) $49
Step-by-step explanation:
The question here is not if Alexis can mow the lawn faster or slower than the person who hires (actually, the time that the person hired took to mow the lawn is irrelevant).
The important part is the time Alexis can save hiring someone:
- Alexis mow her lawn in 30 minutes.
- Alexis earns $100 an hour. Then 30 minutes of her time is worthy $50.
Then, paying $50 or less is a good choice for Alexis.
Therefore the answer is b) $49.
For either square root to exist, you require that
. This is true for all
, since
is always non-negative. This means the domain of
as a function of
is all real numbers, or
or
.
Now, because
is non-negative, and the smallest value it can take on is 7, it follows that the minimum value for the positive square root must be
, while the maximum value of the negative root must be
. This means the range is
, or
, or
![(-\infty,-\sqrt7]\cup[\sqrt7,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-%5Csqrt7%5D%5Ccup%5B%5Csqrt7%2C%5Cinfty%29)
.
Answer:
We can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.
Step-by-step explanation:
First of all, we need to calculate the percentage of the spinner that is both green and blue.
There are a total of 12 sections on the spinner.
6 out of 12 of the sections are green. 6/12 = 0.5 or a 50% change
2 out of 12 of the secions are blue. 2/12 = 0.16 or a 16% change
3 out of 12 of the sections are pink. 3/12 = 0.25 or a 25% chance
1 out of 12 sections are yellow. 1/12 = 0.08 or a 8% chance
Athough I provided the percantages for each color, all we really need is the data for the green and blue.
0.5 + 0.16 = 0.66
12 x 0.66 = 7.92 or 8 when rounded to the nearest whole number
Therefore, we can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.
Hope this helps! Have a blessed day! :)
