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3 years ago

Determine the coordinates of the triangle shown below after a dilation with a scale factor of 4

Mathematics

1 answer:

tatyana61 [14]3 years ago

3 0

Do you have the picture?

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Please help me I’m stuck

FrozenT [24]

Answer:

10.77 units

Step-by-step explanation:

By imaging an imaginery line at point before 1 units to be 4 units: b = 4 units

Therefore h = 11 - 1 = 10 units

Using Pythagoras theorem:

x² = h² + b² = 10² + 4² = 100 + 16 = 116

x = √116 = 10.77 units

8 0

3 years ago

Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV$

$=\displaystyle\int_0^c\int_0^b\int_0^a(8x+8y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{abc(4a+4b+3c)}$

5 0

3 years ago

40 boys and 16 girl possible ratios

Inessa05 [86]

Answer:

40:16, 16:40, 40/16, 16/40

6 0

3 years ago

Please help if u get all 3 right ill put u as brainiest!

scoray [572]

Answer: 13

Step-by-step explanation: Alright with the median you take all the numbers "11, 20, 17, 8, 8, 9, 20, 13, 21" and put them in numerical order. "8, 8, 9, 11, 13, 17, 20, 20, 21" Then the middle one is the median, since there are 9 numbers you take the fifth one. In this case it is 13. (Only knew the first one since I have no idea what they mean by quartiles)

7 0

3 years ago

4x+2=8+6x answer plz imma need the help

natulia [17]

Step-by-step explanation:

4x+2=8+6x

-2x=6

x=-3

Hope it helps

8 0

3 years ago

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