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3 years ago

A 45-45-90 right triangle is formed when a ____ is cut in half

Mathematics

1 answer:

netineya [11]3 years ago

3 0

Answer:

Square

Step-by-step explanation:

A square has four 90° angles. By cutting it diagonally in half, you form two 45-45-90 triangles.

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Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.

vredina [299]

Answer:

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Step-by-step explanation:

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3 years ago

Jordy was living in a third story apartment in his complex. Up there he was paying an annual renters insurance premium of $325.0

Savatey [412]

THE CORRECT ANSWER FOR THIS ONE: D. 383.50

HIS RENTERS INSURANCE PREMIUM WOULD GO UP BY 18%. HIS NEW ANNUAL RENTER'S INSURANCE PREMIUM IS NOW
$383.50

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3 years ago

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Which of the equations below could be the equation of this parabola

SOVA2 [1]

Answer:

Step-by-step explanation:

Given is a graph of a parabola.

We have to find the equation of the paabola.

We observe from the graph the following points.

i) Vertex is (0,0)

ii) Open downward

iii) Axis of symmetry is y axis or x=0

iv) It passes through (1,4)

The parabola will be of the form

$x^2 =-4ay$

Substitute x=1 and y =4, to find a

1 = -4a(4)

a = $\frac{-1}{16}$

Hence equation would be

$x^2 =-\frac{1}{4} y$

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3 years ago

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What is the correct justification for the indicated steps?

yanalaym [24]

The given proof of De Moivre's theorem is related to the operations of

complex numbers.

<h3>The Correct Responses;</h3>

Step A: Laws of indices

Step C: Expanding and collecting like terms

Step D: Trigonometric formula for the cosine and sine of the sum of two numbers

<h3>Reasons that make the above selection correct;</h3>

The given proof is presented as follows;

$\mathbf{\left[cos(\theta) + i \cdot sin(\theta) \right]^{k + 1}}$

Step A: By laws of indices, we have;

$\left[cos(\theta) + i \cdot sin(\theta) \right]^{k + 1} = \mathbf{\left[cos(\theta) + i \cdot sin(\theta) \right]^{k} \cdot \left[cos(\theta) + i \cdot sin(\theta) \right]}$

$\left[cos(\theta) + i \cdot sin(\theta) \right]^{k} \cdot \left[cos(\theta) + i \cdot sin(\theta) \right] = \mathbf{\left[cos(k \cdot \theta) + i \cdot sin(k \cdot \theta) \right] \cdot \left[cos(\theta) + i \cdot sin(\theta) \right]}$

Step B: By expanding, we have;

$\left[cos(k \cdot \theta) + i \cdot sin(k \cdot \theta) \right] \cdot \left[cos(\theta) + i \cdot sin(\theta) \right] = cos(k \cdot \theta) \cdot cos(\theta) - sin(k \cdot \theta) \cdot sin(\theta) + i \cdot \left [sin(k \cdot \theta) \cdot cos(\theta) + cos(k \cdot \theta) \cdot sin(\theta) \right]$

Step D: From trigonometric addition formula, we have;

cos(A + B) = cos(A)·cos(B) - sin(A)·sin(B)

sin(A + B) = sin(A)·cos(B) + sin(B)·cos(A)

Therefore;

$cos(k \cdot \theta) \cdot cos(\theta) - sin(k \cdot \theta) \cdot sin(\theta) + i \cdot \left [sin(k \cdot \theta) \cdot cos(\theta) + cos(k \cdot \theta) \cdot sin(\theta) \right] = \mathbf{ cos(k \cdot \theta + \theta) + i \cdot sin(k \cdot \theta + \theta)}$

Learn more about complex numbers here:

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2 years ago

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Select the correct answer. The table represents a proportional relationship. x y 11 2 22 4 33 6 The graph represents another pro

torisob [31]

The equation which represents the lower unit rate of these two relationships is y = 2x/11.

<h3>How to determine the equation?</h3>

In order to determine the equation which represents the lower unit rate of these two relationships, we would find the slope of the given points.

Mathematically, the slope of a straight line can be calculated by using this formula;

$Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Substituting the given parameters into the formula, we have;

$Slope = \frac{6\;-\;4}{33\;-\;22}\\\\Slope = \frac{2}{11}$

Slope = 2/11.

From the standard equation, we have:

y = mx + c

y = 2x/11 + 0

y = 2x/11.

Read more on slope here: brainly.com/question/3493733

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3 0

2 years ago