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4 years ago

Which of these ratios is NOT in simplest form? 4/9 11/13 6/5 14/21

2 answers:

7 0

The answer is 14/21.

This fraction can be reduced to 2/3.
Just divide each number by seven.
For the other fractions, if you can find a number that can be divided into each then it is not in simplest form.

nordsb [41]4 years ago

5 0

I have to say 11/13. Hope this helps!

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What is the number of solid 3-inch by 2-inch by 2-inch rectangular prisms that can be

Lerok [7]

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3 years ago

camila drew a triangle with a side that is 24 inches long and a side that is 18 inches long. which of the following could be the

Minchanka [31]

Formula: a^2+b^2=c^2
Plug in: 24^2+18^2=c^2
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3 years ago

Use a surface integral to ﬁnd the surface area of the portion of the sphere xUse a surface integral to ﬁnd the surface area of t

brilliants [131]

Parameterize this surface (call it $S$ ) by

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

with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . The limits on $u$ should be obvious. We find the upper limit for $v$ by solving for $v$ where the sphere and cone intersect:

$\begin{cases}x^2+y^2+z^2=1\\z=\sqrt{x^2+y^2}\end{cases}\implies x^2+y^2=\dfrac12$

$\implies(\cos u\sin v)^2+(\sin u\sin v)^2=\dfrac12$

$\implies\sin^2v=\dfrac12$

$\implies\sin v=\dfrac1{\sqrt2}\implies v=\dfrac\pi4$

Take the normal vector to $S$ to be

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

(orientation does not matter here)

Then the area of $S$ is

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

$=\displaystyle\int_0^{\pi/4}\int_0^{2\pi}\sin v\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^{\pi/4}\sin v\,\mathrm dv=\boxed{(2-\sqrt2)\pi}$

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3 years ago

Help help help help hlep help help help helph elp

Orlov [11]

9514 1404 393

Answer:

step 2; misapplication of the distributive property

Step-by-step explanation:

To eliminate parentheses, the distributive property of multiplication over addition tells you the outside factor is applied to each of the terms inside. The second step should be ...

Step 2: (0.5)(4) +(0.5)(1.2x) +(0.5)(-3.1) = 2 +0.6x -1.55

Shane's mistake was that he added the factor to the first term, subtracted the factor from the coefficient of the second term, and added the factor to the third term. He was inconsistent even in his misapplication of the distributive property.

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3 years ago

A. Describe the three ways in which two lines may be related

nignag [31]

I think a and c. I really don’t know tho

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3 years ago