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3 years ago

When two people each measured a windows width, their results were 79 cm and 786 mm. Are these results equally precise? Explain.

1 answer:

4 0

The second result is more precise because it's in millilitre,so if the first were to be fully precise,it should have been 78.6 cm.

Hope this helps!

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Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.

svetoff [14.1K]

Parameterize this surface (call it $S$ ) by

$\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k$

with $0\le u\le3$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k$

Then the area of $S$ is

$\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}$

3 0

3 years ago

The length of a rectangle is 5 yd less than three times the width, and the area of the rectangle is 28 yd2 . find the dimensions

Firdavs [7]

The answer is 4.

The formula for the area of a rectangle is A = lw. Substitute, so then it's 28 = (3x-5) * x, and you evaluate.

Hope this helps you! And rate so I can see if I did well!

8 0

3 years ago

Cookies are on sale! Today each cookie costs \$0.75$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you b

seropon [69]

The <u><em>correct answer</em></u> is:

The equation is 7(c-0.75) = 2.80, and the regular price of a cookie is c = $1.15.

Explanation:

c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression c-0.75.

We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, c-0.75, by 7 and set it equal to $2.80:

7(c-0.75) = 2.80

To solve, first use the distributive property:

7*c-7*0.75 = 2.80

7c-5.25 = 2.80

Add 5.25 to each side:

7c-5.25+5.25 = 2.80+5.25

7c = 8.05

Divide each side by 7:

7c/7 = 8.05/7

c = $1.15.

7 0

3 years ago

Read 2 more answers

Two angles that add up to 90° are called SUPPLEMENTARY angles. TRUE OR FALSE

svet-max [94.6K]

Answer:

This is FALSE. Two supplementary angles add up to 180 degrees.

Step-by-step explanation:

Hope this helped! :-)

3 0

3 years ago

Will someone help me with this

Marina CMI [18]

hope this helps :)

.........

3 0

1 year ago