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3 years ago

When a number x is multiplied by 4, the result is 2/5. What is t he value of x

Mathematics

1 answer:

PIT_PIT [208]3 years ago

5 0

The equation:

$x\cdot4=\dfrac{2}{5}\ \ \ \ |\text{divide both sides by 4}\\\\x=\dfrac{2}{5}:4\\\\x=\dfrac{2}{5}\cdot\dfrac{1}{4}\\\\x=\dfrac{1}{5}\cdot\dfrac{1}{2}\\\\\boxed{x=\dfrac{1}{10}}$

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Read 2 more answers

Part

goldfiish [28.3K]

When a shape is rotated, it must be rotated around a point.

To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by $90^o$ .

From the question, we have:

$C = (5,-1)$ --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

$(x,y) \to (x - 5, y + 1)$

Then the vertices are rotated by $90^o$

The rule of $90^o$ rotation is:

$(x,y) \to (-y,x)$

So, we have:

$(x - 5,y + 1) \to (-y - 1,x - 5)$

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

$(0,2) \to (-2-1,0-5) \to (-3,-5)$

$(0,5) \to (-5-1,0-5) \to (-6,-5)$

$(4,2) \to (-2-1,4-5) \to (-3,-1)$

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

Read more about rotations at:

brainly.com/question/1571997

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3 years ago

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2+1 inches. She p

defon

Step-by-step explanation:

$perimeter \: of \: first \: pillow \: is \: \\ 4(2 {x}^{2} + 1) \\ perimeter \: of \: second \: pillow \: is \: \\ 4(4x - 7) \\ so \: we \: need \: compeletly \: 4(2 {x}^{2} + 1) + 4(4x - 7) \: ribbons. \\ 8 {x}^{2} + 4 + 16x - 28 = 8 {x}^{2} + 16x - 24 = \\ 8( {x}^{2} + 2x - 3) = 8(x + 3)(x - 1) \\ 8(3.5 + 3)(3.5 - 1) = 8(6.5)(2.5) = 8 \times 2.5 \times 6.5 = 20 \times 65 \times {10}^{ - 1} = 1300 \times {10}^{ - 1} = 130 \\ and \: we \: are \: done.$

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

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3 years ago

QUESTION 3

miv72 [106K]

Answer:

Step-by-step explanation:

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3 years ago

the three sides of an equilateral triangle measure x 12, 2x - 5 and 3x - 22 inches. the sides of the triangle measure:

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27.... or whats the x12 ?

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4 years ago