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lakkis [162]
3 years ago
14

What is the value of the y-coordinate of point A

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:  -\dfrac{1}{2}

<u>Step-by-step explanation:</u>

The coordinate at -30° <em>(-30° = 330°)</em> = \bigg(\dfrac{\sqrt3}{2},-\dfrac{1}{2}\bigg)\\

the x-value is  \dfrac{\sqrt3}{2}

the y-value is  -\dfrac{1}{2}\\

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Which sequence of transformations produces R’S’T’ from RST?
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Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
If angle 4 is measured to be 70 degrees, then select all of the other angles that would also be 70 degrees in the diagram shown.
m_a_m_a [10]
The answer are angles 1, 4, 5, and 8
5 0
3 years ago
Read 2 more answers
there are thirty-three students in the chess club. there are five more boys than girls in the club. write and solve a system of
bixtya [17]
Girls=g
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4 0
3 years ago
Gage had $100,000 in a CD at Lots-a-Loot Bank, which just failed. If the FDIC
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Step-by-step explanation:

8 0
3 years ago
I need an answer you guys !! Please
natka813 [3]
First let's model the carpet as a rectangle.
 The diagonal of a rectangle is given by:
 d = root ((L) ^ 2 + (W) ^ 2)
 Where,
 L = long
 W = width.
 Clearing the width we have:
 d = root ((L) ^ 2 + (W) ^ 2)
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 answer
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3 years ago
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