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AleksAgata [21]
3 years ago
6

Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, i

nstead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin.
Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Answer:

We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)

Step-by-step explanation:

If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] =  tan⁻¹(y/x).

So, the point (x, y) is rotated counterclockwise by an angle of  θ = tan⁻¹ (y/x) to perform both reflections.

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If one gallon of paint covers 25 sq. ft., how much paint is needed to cover 40 sq. ft.? i will mark brainliest
gogolik [260]

Answer:

1.6 gallons (so if you can only buy by the gallon, 2 gallons)

Step-by-step explanation:

You divide the total area by how much a gallon covers to get the number of gallons needed.

40/25=1.6

8 0
3 years ago
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A mother is 1 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Kobotan [32]
In order to find the answer to this question, you need to multiply the fractions. But before we do that, we need to turn the mixed fraction into a proper fraction. 1 3/4 would turn into 7/4 because you multiply the denominator by the whole number and add the numerator. So we come out with:

7/4 x 3/1 = 21/4

Can we simplify 21/4? No, we can't. However, we need to turn it back into a mixed fraction. We can do that by actually dividing the numbers. 21 divided by 4 is 5 with a remainder of 1, so we come out with our answer.

The mom is 5 1/4 feet tall :) Hope this helps!
3 0
2 years ago
In a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standar
KiRa [710]

Answer:

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

Step-by-step explanation:

Given that in a  fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams

H0: The two means are equal

Ha: The two means are not equal

(Two tailed test at 5% level)

Variable A Variable B

Mean 1080.00 1120.00

SD 75.00 100.00

SEM 13.26 16.01

N 32 39

95% CI: -82.65 to 2.65

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

7 0
2 years ago
Can someone please help me with this question?
MakcuM [25]
D is the answer. Hope this helped.
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3 years ago
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What is 6 thousandths of a meter of a decimal
Svetllana [295]
0.006
That's you're answer
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