Answer:
D is the answer
Step-by-step explanation:
There are 12 inches in one foot. 120 x 12 = 1,440 inches. The correct ratio to be placed is the 5th one (aka 12 inches over 1 foot).
Okay so for number 3, you have to do the top work first.
3: POSITIVE 2!! first, you do the stuff inside the parentheses first because of P(parentheses)EMDAS. so, 14-2-10! -2-10 is -12 and then plus positive 14 is +2. but, the negative sign outside of the parentheses makes that +2 a -2.
but, you cant forget the -12 outside. you have to do -12-2 which gets you -14. then, this is easy! -14 divided by -7 is a positive 2!
5: POSITIVE 3!! again, do the stuff in the parentheses first!! -2-4 is -6. then, -6 x 2 is -12! so, divide -12 by -4 and you get a positive 3!
Answer:
![\sin Y= \frac{XZ}{XY}](https://tex.z-dn.net/?f=%5Csin%20Y%3D%20%5Cfrac%7BXZ%7D%7BXY%7D)
![\cos Y= \frac{YZ}{XY}](https://tex.z-dn.net/?f=%5Ccos%20Y%3D%20%5Cfrac%7BYZ%7D%7BXY%7D)
![\tan Y= \frac{XZ}{YZ}](https://tex.z-dn.net/?f=%5Ctan%20Y%3D%20%5Cfrac%7BXZ%7D%7BYZ%7D)
Step-by-step explanation:
Given
See attachment for triangle
Required
Find
and
of angle Y
For angle Y:
![Opposite = XZ](https://tex.z-dn.net/?f=Opposite%20%3D%20XZ)
![Adjacent = YZ](https://tex.z-dn.net/?f=Adjacent%20%3D%20YZ)
The
of an angle is calculated as:
![\sin\theta = \frac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D)
So:
![\sin Y= \frac{XZ}{XY}](https://tex.z-dn.net/?f=%5Csin%20Y%3D%20%5Cfrac%7BXZ%7D%7BXY%7D)
The
of an angle is calculated as:
![\cos\theta = \frac{Adjacent}{Hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D)
So:
![\cos Y= \frac{YZ}{XY}](https://tex.z-dn.net/?f=%5Ccos%20Y%3D%20%5Cfrac%7BYZ%7D%7BXY%7D)
The
of an angle is calculated as:
![\tan\theta = \frac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%20%3D%20%5Cfrac%7BOpposite%7D%7BAdjacent%7D)
So:
![\tan Y= \frac{XZ}{YZ}](https://tex.z-dn.net/?f=%5Ctan%20Y%3D%20%5Cfrac%7BXZ%7D%7BYZ%7D)
Answer:76.65
Step-by-step explanation:
First, you write 36.5 times 2.10
Then, multiply them.
That equals 76.65