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3 years ago

Do 3/7 and 7/3 represent the same length on s number line? Explain please

1 answer:

6 0

No because if you were to make 7/3 a mixed fraction, it would be 2 and 1/3. Thus, they are different lengths on the number line

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I GIVEEEEEEEEEEEEEEEEEEEEEE BRAINLISSSSSSSSSSSST

Kitty [74]

Answer:

I see two triangles

Step-by-step explanation:

8 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago

A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.

snow_tiger [21]

It would be 13.50 because 50% off of 18$ is 9$ but it’s not 50% off itS 25% off so If you take the 50% Off price of 9$ and add 4.50 (One more 1/4th) you get $13.50

4 0

3 years ago

Tonya is 5 years older than Raul. Tonya is 16 years old. Solve the equation r+5=16 to find Raul's age.

AfilCa [17]

Answer:

he is 11 years old

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Michael wrote a novel that sells for $20 dollars each. He received a bonus of $50,000 to sign the contract to write the book, an

Marat540 [252]

$50000 + (9%x(10000x$20)=
$50000 + (9%x$200000)=
$50000 + $18000=
$68000

4 0

3 years ago