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Which of the following descriptions represents the transformation shown in the image

Viktor [21]

Answer: A. 270° rotation, 3 units left, and 2 units up

Step-by-step explanation:

C = (1, 1) D = (3, 3) E = (2, -2)

270° rotation counterclockwise means (x, y) = (y, -x)

new C = (1, -1) new D = (3, -3) new E = (-2, -2)

3 units left means subtract 3 from the x-coordinate

newer C =( -2, -1) newer D = (0, -3) newer E = (-5, -2)

2 units up means add 2 to the y-coordinate

C' = (-2, 1) D' = (0, -1) E' = (-5, 0)

Since the first option worked, there is no need to check the other options.

7 0

3 years ago

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MUSIC Randall recorded 8 songs on his most recent CD. The total length of the CD is 49 minutes. Find a unit rate to represent th

Juliette [100K]

Answer: 6.13

Step-by-step explanation:

From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.

The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:

= 49 minutes / 8

= 6.125 minutes per song

= 6.13 to nearest hundredths

6 0

2 years ago

Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Corrine rolls a standard six-s

-BARSIC- [3]

Answer: The correct answer is option C: Both events are equally likely to occur

Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;

P(>3) = Number of required outcomes/Number of possible outcomes

P(>3) = 3/6

P(>3) = 1/2 or 0.5

Therefore the probability of rolling a number greater than three is 0.5 or 50%.

For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;

P(Head) = Number of required outcomes/Number of all possible outcomes

P(Head) = 1/2

P(Head) = 0.5

Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on a tail is equally 0.5 or 50%)

From these results we can conclude that in both experiments , both events are equally likely to occur.

3 0

3 years ago

Find the surface area of the cylinder. Round your answer to the nearest tenth. 6 m 7 m

faltersainse [42]

Use the formula: A=2(3.14)rh+2(3.14)r^2
A=2(3.14)(6)(7)+2(3.14)6^2
A=490.09 so the answer rounded would be 490.1

7 0

2 years ago

Shaquille bought 2 umbrellas and 3 hats and spent between $30 and $50. Each umbrella costs the same amount. EAch hat costs the s

DiKsa [7]

Answer:

The least she could of spent would be $41

Step-by-step explanation:

5 0

3 years ago