Answer:
- 1/3
- y-axis
- (1, -2)
Step-by-step explanation:
The length AC is 3, but the corresponding length FD is 1, so the dilation factor is FD/AC = 1/3.
The reflection is a left/right reflection, so it is across a vertical line. We suspect the only vertical line you are interested in is the y-axis. (It could be reflected across x=1/2, and then the only translation would be downward.)
The above transformations will put C' at (1, 0). Since the corresponding point D is at (2, -2), we know it is C' is translated by (1, -2) to get to D.
C' + translation = D
(1, 0) +(1, -2) = (2, -2)
Answer:
1.97-20= -18.03
20-1.97= 18.03
Step-by-step explanation:subtract the numbers from each other.
Answer:
B) 112 cm²; 336 cm²
Step-by-step explanation:
The lateral area would be without the bases. In this case, the bases are the top and the bottom
Lateral Area
(2)(2.54)(8) = 40.64
(2)(2.54)(14) = 71.12
Add together and get 111.76 cm²
Surface Area
LA + Bases
<em>Bases</em>
(2)(14)(8) = 224
Add with lateral area and get 335.76 cm²
Answer:
<em>It will take 12 hours to fill the tank</em>
Step-by-step explanation:
Proportions
Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.
Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.
Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.
Each hour, the tank gets filled by:
Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank
