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4 years ago

Name the angles that are complements to SWT

Mathematics

2 answers:

34kurt4 years ago

8 0

Answer:

The correct answer is C) USP and TSV.

I just finished the test and it was correct.

Hope this helps!!!!!!

zlopas [31]4 years ago

7 0

Two angles are said to be complementary, if the sum of the two angles is 90 degrees.

Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.

From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.

Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.

Therefore, the complementary angles to angle SWT are angle USP and angle TSV.

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Step-by-step explanation:

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3 years ago

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

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The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

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4 years ago

How will the area of the circle change if it is dilated by a scale factor of 1/2? The area will be 2 times greater than the orig

coldgirl [10]

We know that

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so
[dilated area of circle]=[original area of circle]*[1/2]²
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therefore

the answer is
<span>The area will be 1/4 the original</span>

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3 years ago

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Answer:

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Step-by-step explanation:

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