The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.
<h3>
Which transformation is used to get A'B'C'?</h3>
To analyze this we can only follow one of the vertices of the triangle.
Let's follow A.
A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:
(-3, -4)
Now if you look at A', you can see that the coordinates are:
A' = (-4, -1)
To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.
Then the complete transformation is:
A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.
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Answer:
Option C (72)
Step-by-step explanation:
In the figure attached we can see a rectangle ABCD with length 12 cm and width 9 cm.
A triangle PEF with height BE and base EF.
Since side AE = 3 cm, so side EB = EC = 9 - 3 = 6cm
and EF = AD = 12 cm
Now we will find the area of of the parts of the card that are not shaded.
Area of parts that are not shaded = Area of rectangle - area of shaded triangle
= (12×9) -
= 108 -
Option c) 72 cm² is the area of non shaded part.
Hope this helps!! -Mina
Answer:
True.
Step-by-step explanation:
A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;
1. The outcomes are mutually exclusive.
2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).
3. The probability for a particular value or outcome must be between 0 and 1.
Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;
I. Probability density functions for continuous variables.
II. Discrete probability distributions for discrete variables.
For example, when a coin is tossed, you can only have a head or tail (H or T).
Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).
Answer:
No, not correct.
Step-by-step explanation:
Note that 8 * 4.3 can be broken up as follows:
8 * (4 + 0.3)
and that 4*8 =32, and that 0.3(8) = 2.4 (not 0.24).
Then 8 * (4 + 0.3) becomes 32 + 2.4 = 34.4
The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds
<h3>Represent this situation with an expression involving signed numbers. </h3>
Let Sara's initial weight be w.
The given parameters are:
Lost = 12 pounds
Gain = 4 3/8 pounds
The situation with an expression involving signed numbers is represented as:
Weight = Initial - Lost + Gain
So, we have:
Weight = w - 12 + 4 3/8
<h3>What is the overall change in Sara’s weight?.</h3>
In (a), we have:
Weight = w - 12 + 4 3/8
The overall change is:
Change = - 12 + 4 3/8
Evaluate
Change = -7 5/8
Hence, the overall change in Sara’s weight is -7 5/8 pounds
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