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Anit [1.1K]
3 years ago
13

Find the value of each variable

Mathematics
2 answers:
Neko [114]3 years ago
6 0

x = 15  \sqrt{2}

y = 15  \sqrt{2}

klio [65]3 years ago
5 0

Answer:

x = y = 15\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{\sqrt{2} }{2} , then

sin45° = \frac{opposite}{hypotenuse} = \frac{x}{30} ( multiply both sides by 30 )

30 × sin45° = x , then

x = 30 × \frac{\sqrt{2} }{2} = 15\sqrt{2}

The triangle is a right isosceles triangle thus the legs are congruent, then

x = y = 15\sqrt{2}

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The points (4, 5), (−1, 7), (−2,−2), and (6.5,−10.5) reflected in the x-axis followed by the y-axis are (−4,−5), (1,−7), (2, 2),
Triss [41]

Reflecting the points in the y-axis followed by the x-axis gives the same result as x-axis followed by the y-axis

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>

If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is reflected along the y axis, the new point is A'(-x, y).

Given the points (4, 5), (−1, 7), (−2,−2), and (6.5,−10.5). If it is reflected along the y axis it gives (-4, 5), (1, 7), (2,−2), and (-6.5,−10.5). If it is then reflected along the x axis it gives (-4, -5), (1, -7), (2, 2), and (-6.5, 10.5).

Reflecting the points in the y-axis followed by the x-axis gives the same result as x-axis followed by the y-axis

Find out more on reflection at: brainly.com/question/14062035

8 0
2 years ago
Cousin needs help and im not allowed to help lol dp it for me thx
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Step-by-step explanation:

8 0
3 years ago
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(θ) + sin(10
vivado [14]

Answer:

Step-by-step explanation:

x = cos θ + sin(10θ)

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dy/dθ = cos θ - 10 sin(10θ)

Divide:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))

Evaluate the derivative at θ=0:

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dy/dx = 1/10

Evaluate the parametric functions at θ=0:

x = cos 0 + sin 0 = 1

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Writing the equation of the tangent line in point-slope form:

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6 0
4 years ago
In the diagram below of a parallelogram STUV, SV=x+3, VU 2x-1, and TU=4x-3. What is the length of SV?
Katena32 [7]

Answer:

SV=5\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

so

In this problem

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x+3=4x-3

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SV=x+3

substitute the value of x

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5 0
4 years ago
Cameron has $200. He wants to buy a diploma frame for $44. He also wants to buy kente graduation stoles for himself and his frie
miskamm [114]

Answer:

6

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Round 6.5 to 6.

8 0
3 years ago
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