Answer:
D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'
Step-by-step explanation:
When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.
Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).
If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.
The figure below shows the segments YZ and Y'Z'.
Answer:
The answer to your question is a = 4.81
Step-by-step explanation:
Process
1.- The angle B and 43° are supplementary
B + 43° = 180°
B = 180 - 43
B = 137°
2.- Calculate angle C
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
29 + 137 + C = 180
- Solve for C
C = 180 - 29 - 137
C = 14°
3.- Use the law of signs to find a
a / sin A = c / sin C
a / sin 29 = 2.4 / sin 14
- Solve for a
a = 2.4 sin 29 / sin 14
- Simplification
a = 2.4 (0.485) / 0.242
- Result
a = 4.809
Answer:
<em>The amount of animal feed left was 86.4 kilograms.</em>
Step-by-step explanation:
Initial amount of animal feed in the barn was 96 kilograms.
The barn leaked and of the feed was wasted.
So, <u>the amount of feed wasted</u> kilograms.
<em>Now, for finding the amount of feed that was left, we need to subtract the amount of wasted feed from the initial amount of feed.</em>
So, the amount of animal feed left
1. A) 0 (I’m not totally sure since there are two of the same thing, but with different answers.)
2. (Not sure)
3. C) 3
4. A) 6
5. A) 4
6. C) 4 (I’m pretty sure it’s 4 if it’s in the way I think it should be in to get 4.)
7. C) 4
8. A) 0
(I tried my best, I’m probably wrong, because I don’t exactly know how to do logarithms yet. Sorry if I got some wrong.)
You have to set it up as a ratio 8/5 = y/10, then you have to cross mutliply and divide. So 8×10=80 and 80/5= 16 so y=16.