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Nana76 [90]
3 years ago
9

Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area

?
Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

When finding for the area of a square ,the lenght will be squared automatically leading to a greater value which is greater that of the rectangle which is length multipled by Width

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Circle R has equation
Rudiy27

Answer:

The center is (-10,10)  and the radius is 4sqrt(3)

Step-by-step explanation:

(x + 10)^2 + (y - 10)^2 = 48

We can write the equation of a circle as

(x -h)^2 + (y - k)^2 = r^2  where (h,k) is the center and r is the radius

(x-  -10)^2 + (y - 10)^2 = (sqrt(16*3) )^2

(x-  -10)^2 + (y - 10)^2 = (4sqrt(3)) ^2

The center is (-10,10)  and the radius is 4sqrt(3)

5 0
2 years ago
What is the value of the rationale expression below when x is equal to 4? X+20/x+4
sveta [45]

Answer:

3

Step-by-step explanation:

to evaluate substitute x = 4 into the rational expression, that is

\frac{4+20}{4+4} = \frac{24}{8} = 3



6 0
3 years ago
Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit
ikadub [295]

The square (call it S) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is \vec n=\vec\imath-\vec k, which is enough information to figure out the equation of the plane containing S:

(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x

We can parameterize this surface by

\vec s(x,y)=x\,\vec\imath+y\,\vec\jmath+x\,\vec k

for 0\le x\le\frac3{\sqrt2} and 0\le y\le3. Then the flux of \vec F, assumed to be

\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k,

is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy

=\displaystyle\int_0^3\int_0^{3/\sqrt2}\left((4+e^{xy}+9x)\,\vec\imath+(9+e^{xy}+4x)\,\vec\jmath+(e^{xy}+9x)\,\vec k\right)\cdot(\vec\imath-\vec k)\,\mathrm dx\,\mathrm dy

=\displaystyle\int_0^3\int_0^{3/\sqrt2}4\,\mathrm dx\,\mathrm dy=\boxed{18\sqrt2}

3 0
3 years ago
How much did he spend?
bearhunter [10]

Answer:

$6

Step-by-step explanation:

\frac{3}{5}*10=\frac{3*10}{5}=\frac{30}{5}=6

6 0
2 years ago
Read 2 more answers
List all of the factors of 24
vova2212 [387]
1,2,3,,4,6,8,12,24 are the factors of 24
4 0
3 years ago
Read 2 more answers
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