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3 years ago

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Mathematics

1 answer:

LuckyWell [14K]3 years ago

6 0

D (-4 , -1)
relflected over x-axis= (4 , 1)
180 degrees= (-4 , -1)

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The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of

Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

$AV = \frac{y(t2) - y(t1)}{t2 - t1}$

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

$AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6$

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

$AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8$

So the average speed is -128.9 ft/s

iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

$AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16$

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0

3 years ago

Which measurement is equivalent to 21 yards? O 1.75 ft O 7ft O 63 ft O 252 ft

Natali [406]

Answer:

63 ft

Step-by-step explanation:

Multiply your yard value by 3 to find it's value in feet.

(Remember that 1 yard = 3 feet.)

21y x 3 = 63ft

3 0

3 years ago

Read 2 more answers

Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years.? Also, find the APY f

taurus [48]

Answer:

Step-by-step explanation:

Check the attachment

5 0

3 years ago

Pls help! evaluate the sine of the real number, pls give exact answers

solong [7]

Answer:

$-\frac{\sqrt2}{2} \\$ or exact is −0.70710678...

Step-by-step explanation:

Getting the point!

If we look at the unit circle and we find $-\frac{3\pi }{4}$ we see it is in the 3rd quadrant.
We know that all points in the 3rd quadrant have both negative x and negative y values.
We know that all radians with the base of 4 on the unit circle have the points of $(\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})$
Because we are in the 3rd quadrant and both x and y are negative we know the point of $-\frac{3\pi }{4}$ is $(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})$

Finding the sin!

Because we know that sin is asking us for the y value
We can just look at the point and find the y value!
the y value is $-\frac{\sqrt2}{2} \\$
Because this fraction does not need to be rationalized we are good!
Use a calculator to find the exact value and you get -0.70710678...
The final answer is $-\frac{\sqrt2}{2} \\$ or exact is −0.70710678...

Hope this helps!! Please mark Brainliest!

4 0

2 years ago

What is the answer and how to solve?

oksian1 [2.3K]

I’m not sure what h and t are but you would want to plug them in and solve. How I would do it is multiply h and t on the left, then multiply t squared and get an answer, then multiply that answer by -5, then multiply t by 20. Next add or subtract all of the numbers on the right and I think you would get your answer.

5 0

2 years ago