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1 answer:
The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
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Answer:
x = 3
y = -5
Step-by-step explanation:
see photo attached for further explanation...
Answer:
Volume of the prism is 648
Step-by-step explanation:
Given:
Base of the prism is rectangular in shape
Height of the prism = 6 cm
Base length of the prism= 12 cm
Base width of the prism= 9 cm
To Find:
Volume of the prism=?
Solution:
Volume of the prism ,
V= Base area of the prism x Height of the prism
Here in the figure base of the prism is in Rectangular form
So the base area of the prism = area of the rectangle
We know that the area of the rectangle is = length x height
Substituting the values
Area of the Rectangle = 12 x 9
Area of the Rectangle = 108
So the are of the base of the prism is 108
Now
Volume of the prism,
V= 108 X 6
V= 648
Answer:
The proportion of scores reported as 1600 is 0.0032
Step-by-step explanation:
Let X be the score for 1 random person in SAT combining maths and reading. X has distribution approximately N(μ = 1011,σ = 216).
In order to make computations, we standarize X to obtain a random variable W with distribution approximately N(0,1)
The values of the cummulative distribution function of the standard Normal random variable, lets denote it are tabulated, you can find those values in the attached file. Now, we are ready to compute the probability of X being bigger than 1600
Hence, the proportion of scores reported as 1600 is 0.0032.