Answer:
r=8.66025403784
Step-by-step explanation:
7065=π(r squared)X30
7065=94.2(r squared)
7065÷94.2=r squared
√75=r squared
8.66025403784=r
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
For every c substitute 4 and for every d substitute -2
c=4
d=-2
6c + 5d - 4c - 3d + 3c - 6d
= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)
=24+(-10)-16-(-6)+12-(-12)
=24-10-16+6+12+12
=28
The location of the image of points <em>J </em>and <em>K </em>following a reflection across the x-axis are;
- J'(-3, -4), and K'(3, -4)
<h3>Which method can be used to find the image of a point following a reflection?</h3>
Coordinates of point are;
J(-3, 4), K(3, 4)
The given transformation is; A reflection across the x-axis
The representation of a reflection across the x-axis is presented as follows;
The image of <em>J </em>and <em>K </em>following a transformation across the x-axis are therefore;
Learn more about reflection transformation on the coordinate plane here:
brainly.com/question/8242111
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The data set that has a variation, or mean absolute deviation, similar to the data set in the given dot plot is; Option D
<h3>How to Interpret Dot Plots?</h3>
The given dot plots options are as seen in the attached brainly link.
Now, the sample dot plot shows a total of 10 dots with 3 dots on 52, 2 dots on 53, 1 dots each on 54, 55, 56, 57, 58.
Looking at the options, the only one that represents the variation, or mean absolute deviation of the given sample is Option D.
Read more about Dot Plots at; brainly.com/question/22247061
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