Make each improper fraction into a mixed number or whole number.
1 answer:
You might be interested in
The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)
<h3>How to carry out rotational transformation?</h3>We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.
Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;
A'(3, -1)
B'(6, -1)
C'(6, 4)
D'(3, 4)
Read more about Rotational Transformation at; brainly.com/question/4289712
#SPJ1
Answer:
Amie should have multiplied 54 by 2/3
Step-by-step explanation:
The formula of the volume of a sphere is given by
, where r is the radius of the sphere.
to find the volume of the sphere, we must find
We know that the formula of a cylinder of height h and radius r is given by
So
We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that
From here, we know that .
So the volume of the sphere is .
So Amie should have multiplied 54 by 2/3.
Given:
The arithmetic sequence is:
10, 12, 14, 16, ...
To find:
The function that generates the given sequence if n is an integer.
Solution:
We have,
10, 12, 14, 16, ...
Here, the first term is 10 and the common difference is:
The nth term of an arithmetic sequence is:
Where, a is the first term, d is the common difference and .
Putting in the above formula, we get
Therefore, the function generates the sequence.