Answer:166
Step-by-step explanation:438x.38=166
438 being the total amount of students
.38 being the 38% involved (moved percentage two to the left to make it a decimal)
The X values are graphed horizontally, while the Y values are graphed vertically.
The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).
Hence, the missing values are 3 and 2 respectively.
<h3>What is the factorized form of the expression?</h3>
Given the expression: 2x² - x - 6
First, we factor -1 out of -x
2x² - x - 6
2x² -1(x) - 6
Not that, -1 can also be written as 3-4
2x² + (3-4)x - 6
2x² + 3x - 4x - 6
Next, we group the first two terms and the last two terms and factor out the GCF
(2x² + 3x) - 4x - 6
x(2x + 3) - 2( 2x + 3)
Factor out the GFC which is ( 2x+3 )
We have; ( 2x + 3 )( x - 2 )
The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).
Hence, the missing values are 3 and 2 respectively.
Learn more about factorization here: brainly.com/question/11994062
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Answer:
The length of the yard is 60 feet while the width is 30 feet.
Step-by-step explanation:
If the length of Mr. Timmon's backyard is double the width, then the dimensions are related by the following expression:
length = 2*width
We also know the perimetter, since he has the exact length of fence to surround his whole yard, which is 180 feet. The perimeter of a rectangle is given by:
perimeter = 2*length + 2*width
Therefore,
180 = 2*length + 2*width
With the length being double the width, we have:
180 = 2*(2*width) + 2*width
180 = 4*width + 2*width
6*width = 180
width = 180/6 = 30
length = 2*width = 2*30 = 60
The length of the yard is 60 feet while the width is 30 feet.
Answer:
30 degrees
Step-by-step explanation:
The things we do have and want to find are as follows:
- We know that this is a right triangle, and one angle is 90 degrees
- We want to find an angle
- Relative to that angle, we are given an adjacent side as well as the hypotenuse
One equation that encompasses this is cos(θ) = adjacent/hypotenuse, so
cos(m∠H) = 10√3 / 20
For an equation of form cos(x) = y, we can say that arccos(y) = x. Therefore, we can write our equation as
m∠H = arccos(10√3 / 20)
m∠H = 30 degrees
