If you would like to know which expression represents the amount of time Joe exercises, you can calculate this using the following steps:
Keith ... x hours a week
Troy ... three hours less than Keith: x - 3
Joe ... two times more than Troy: 2 * (x - 3)
The correct result would be D) 2 * (x - 3).
<u>Answer</u>
95,040
<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.
12P5 = 12!/(12-5)!
=12!/7!
=(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)
=12×11×10×9×8
=95,040
Answer:
16 cm
Step-by-step explanation:
Given : The area of triangle ABC is 24 square centimeters.
To Find: If B = 30° and a = 6 cm, what is the measure of side c?
Solution:
Formula : ![Area = \frac{1}{2} \times a \times c \times sin B](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20a%20%5Ctimes%20c%20%5Ctimes%20sin%20B)
a = 6
Area = 24
B = 30°
Substitute the values in the formula
![24 = \frac{1}{2} \times 6 \times c \times sin 30](https://tex.z-dn.net/?f=24%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%206%20%5Ctimes%20c%20%5Ctimes%20sin%2030)
![24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}](https://tex.z-dn.net/?f=24%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%206%20%5Ctimes%20c%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D)
![24 =3 \times c \times \frac{1}{2}](https://tex.z-dn.net/?f=24%20%3D3%20%5Ctimes%20c%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D)
![\frac{24 \times 2}{3} =c](https://tex.z-dn.net/?f=%5Cfrac%7B24%20%5Ctimes%202%7D%7B3%7D%20%3Dc)
![16=c](https://tex.z-dn.net/?f=16%3Dc)
Hence the measure of side c is 16 cm
So, Option c is correct.
Answer:
no solution
Step-by-step explanation:
3 sin x+3=sin x
3 sin x-sin x=-3
2 sin x=-3
sin x=-3/2
which is impossible as |sin x|≤ 1