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Artemon [7]
2 years ago
10

Rounded to the nearest tenth, what is the length of LN? sin(20°) = LN/8 (8)sin(20°) = LN

Mathematics
1 answer:
blagie [28]2 years ago
8 0

Answer:

2.7

Step-by-step explanation:

8 * sin(20) = 2.736

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Answer: $28.80

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What is the sum of the next two terms in the sequence: -3, -1, 3, 9, 17
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Answer: 66 because you are adding 2 then 4 then 6 then 8 then 10 then 12 therefore 17+10= 27, and 27+12= 39 and 39+27 equals 66
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How is your day<br><br>ill give brainliest​
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pretty boring, I'm kind of tired to be honest. What ab you?

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application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line
Svetllana [295]

<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Thus the required <u>answers</u> are:

i. Yes, line <em>segment</em> AB is <em>the same</em> as line <u>segment </u>CD.

ii. This implies that <u>translation</u> does not affect the<u> length </u>of a given<u> line,</u> but there is a change in its <em>location</em>.

<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Some types of <em>transformation</em> are reflection, translation, dilation, and rotation.

  • <u>Dilation</u> is a method that requires either <u>increasing</u> or <u>decreasing</u> the <em>size</em> of a given <u>shape</u>.
  • <u>Translation</u> is a process that involves moving <em>every point </em>on the <u>shape</u> in the same <u>direction</u>, and the same <u>unit</u>.
  • <u>Reflection</u> is a method that requires <em>flipping</em> a given <u>shape</u> over a given reference<u> point</u> or<u> line.</u>
  • <em>Rotation</em> requires <u>turning</u> a given <em>shape</em> at an <u>angle</u> about a given reference <u>point</u>.

Thus in the given question, <u>translation</u> would not affect the <u>length</u> of <em>line</em> <em>segment</em> AB, thus <em>line segment</em> AB and CD are the same. Also, A <u>translated</u> <em>line segment</em> would have the same <u>length</u> as its object, but at another <u>location</u>.

For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707

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5 0
1 year ago
Let T:P3→P3 be the linear transformation such that T(â’2x2)=3x2+4x, T(0.5x+3)=â’3x2+3xâ’4, and T(2x2â’1)=â’3x+4. Find T(1), T(
balu736 [363]

It looks like we're told that

T(-2x^2)=3x^2+4x

T\left(\dfrac12x+3\right)=-3x^2+3x-4

T(2x^2-1)=-3x+4

We use the fact that T is linear to find T(1),T(x),T(x^2). First, we notice that

T(-2x^2)+T(2x^2-1)=T(-2x^2+2x^2-1)=T(-1)=-T(1)

We also have

T\left(\dfrac12x+3\right)=T\left(\dfrac12x\right)+T(3)=\dfrac12T(x)+3T(1)

T(2x^2-1)=T(2x^2)-T(1)=2T(x^2)-T(1)

So once we find T(1), we can determine T(x) and T(x^2). We have

T(1)=-\left(T(-2x^2)+T(2x^2-1)\right)\implies T(1)=-3x^2-x-4

and using this we find

T(x)=12x^2+12x+16

T(x^2)=-\dfrac32x^2-2x

Then

T(ax^2+bx+c)=T(ax^2)+T(bx)+T(c)=aT(x^2)+bT(x)+cT(1)

T(ax^2+bx+c)=-\dfrac32\left(a-8b+2c\right)x^2-(2a-12b+c)x+16b-4c

8 0
3 years ago
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