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3 years ago

8

Please help me. I will give Brainliest!

1 answer:

Zepler [3.9K]3 years ago

3 0

The answer to this question would be C, at least that’s what I’m thinking

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Carroll’s is putting a border around the edge of a rectangular bulletin board. One side of the bulletin board measures 2 feet an

olga_2 [115]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.

Therefore:

Total length of border = Perimeter of rectangular bulletin board

As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.

Total length of border = 2 ( 2 ) + 2 ( 4 )

Total length of border = 4 + 8

Total length of border = 12 feet

12 > 10

ANSWER:

Therefore, 10 feet of border isn't enough.

Please mark as brainliest if you found this helpful! :)
Thank you <3

8 0

4 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

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

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

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

4 0

3 years ago

Solve 5x+4y=-30<br> 3x-9y=-18<br> Solve using the elimination method

jenyasd209 [6]

Answer:

(x, y) = (-6, 0)

Step-by-step explanation:

The y-coefficients have opposite signs, so we can eliminate y-terms by multiplying both equations by a positive number and adding the results.

9 times the first equation plus 4 times the second gives ...

9(5x +4y) +4(3x -9y) = 9(-30) +4(-18)

45x +36y +12x -36y = -270 -72 . . . . eliminate parentheses

57x = -342 . . . . . collect terms

x = -6 . . . . . . . divide by the coefficient of x

__

Substituting into the first equation gives ...

5(-6) +4y = -30

4y = 0 . . . . . . . . . add 30

y = 0

The solution is (x, y) = (-6, 0).

4 0

3 years ago

Perform the operation. 3/a^2b + 2/ab^2

Klio2033 [76]

The simplified form of the expression is 3b+2a/(ab)²

<h3>Sum of fractions</h3>

Fractions are written as a ratio of two integers. Given the expression below;

3/a^2b + 2/ab^2

Find the LCM

3/a^2b + 2/ab^2 = 3b+2a/a²b²

3/a^2b + 2/ab^2 = 3b+2a/(ab)²

Hence the simplified form of the expression is 3b+2a/(ab)²

Learn more on sum of fraction here: brainly.com/question/11562149

#SPJ1

5 0

2 years ago

Find the value of x.

SVETLANKA909090 [29]

Answer: 111

Step-by-step explanation: its half of the circle

8 0

2 years ago

Read 2 more answers