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3 years ago

Help me please!!! And thank you!!!!

Mathematics

1 answer:

katen-ka-za [31]3 years ago

8 0

<h2>Answer:</h2>

The last answer - 9x squared y squared

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Don't Answer If You Don't Know Yo! Lenny has a check for $450.00. He wants to deposit half of the money into his checking accoun

Butoxors [25]

Answer:

he is putting 225 in his account

Step-by-step explanation:

450 ÷ 2 = 225

divide by 2 because it say half

3 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

KL = 4x +3.<br> JK = 4x + 2, and<br> JL = 45<br> Find KL.

lbvjy [14]

Answer:

$KL=23$

Step-by-step explanation:

We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.

$(4x+3)+(4x+2) = 45$

$8x+5=45$

$8x=40$

$x=5$

Now we can plug the value of $x$ back into the expression we were given for the line KL.

$4(5)+3$

$23$

7 0

3 years ago

What's the proper name of the quadrilateral below?

Alenkinab [10]

The proper name of the quadrilateral is called Parallelograms

5 0

3 years ago

Read 2 more answers

150 is 45%of what number?<br><br> A. 70<br> B. 65.5<br> C. 40<br> D. 67.5

WITCHER [35]

Answer:

333.3

Step-by-step explanation:

45 % = 150

100% = <u>100% x 150</u>

45%

= 333.3

non of the answers presented makes sense as 45 % = 150 the number (100%) should be more than 150

4 0

3 years ago