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3 years ago

What is the answer to number 8.

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Its 20. |-2|+4-(-2)×(7). This simplifies to 2+4+(2×7)

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If r || s and m 5 = 65°, what is m 1?

lesya [120]

1 and 5 are corresponding angles, so both have the same measure:

m 1 = m 5

m 1 = 65º

Answer: option D. 65º.

I hope this helps. =)

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]

Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

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

Find f(-4) if f(x) = {(2,-4), (4,0), (5,-4), (-4, 0)}

Troyanec [42]

Answer:

If f(x) = 2x2 - 4x + 3 evaluate for f(3) and f(-4) 2. g(x) = V - 2x; find g(-27) and g(-1) ... {(-3,0), (+3, 3),(-3,2)} ... If f(x) = 5x+5, find and simplify f(4).

8 0

3 years ago

PLZ HELP WILL GIVE BRAINLIEST!!!!

Natalka [10]

3 i think here is the brainly link where i found tht brainly.com/question/472442 if i helped would you mark me brainiest if i helped?

7 0

3 years ago

Pls help me!!!!!!!!!

Aliun [14]

Answer:

The perimeter is 30 units

Step-by-step explanation:

To find the perimeter of SOW, what we need to do is to add all the lengths around the triangle together.

But we only have OS, we do not have OW and WS. Thus , we need to get what the values of these lengths are before we can calculate the perimeter.

Please check the attachment for complete solution.

3 0

2 years ago