The single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
<h3>How to determine the transformation?</h3>
From the figure, we have:
- Shape A is twice the size of shape B
- Both shapes can be rotated by 180 degrees in either direction to map onto the other, after dilation.
This means that:
The scale of dilation from shape A is:
k = 1/2
Hence, the single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
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Answer:
y = 4x + 4
Step-by-step explanation:
y intercept is 4
y goes up by 4 for every time x increases by 1, so slope is 4
Answer:
√160 or 12.65 or 4√10
Step-by-step explanation:
√(2-6)²+(3-15)² = √16 + 144 = √160 or 12.65 or 4√10
19 4-cent stamps and 3 28-cent stamps should be used.
Given that Greg needs at least $ 1.60 in stamps to mail a package, and he has 28cent stamps and 4cent stamps, and he can use no more than twenty 4cent stamps as he only has one book left, to determine how many stamps to use should be made the following calculation, through a linear function:
- (0.04 x 20) + 0.28X = 1.60
- 0.80 + 0.28X = 1.60
- 0.28X = 1.60 - 0.80
- 0.28X = 0.80
- X = 0.8 / 0.28
- X = 2.85
- (3 x 0.28) + 0.04X = 1.60
- 0.84 + 0.04X = 1.60
- 0.04X = 1.60 - 0.84
- 0.04X = 0.76
- X = 0.76 / 0.04
- X = 19
Therefore, 19 4-cent stamps and 3 28-cent stamps should be used.
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The probability that has a basic model purchase extended warranty will be 0.1935 or 19.35%.
<h3>What is probability?</h3>
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A company that manufactures video cameras produces a basic model and a deluxe model.
Over the past year, 45% of the cameras sold have been of the basic model.
Of those buying the basic model, 43% purchase an extended warranty, whereas 50% of all deluxe purchasers do so.
If you learn that a randomly selected purchaser has an extended warranty.
Then the probability that has a basic model purchase extended warranty will be
P = 0.45 × 0.43
P = 0.1935
P = 19.35%
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