Name 5 fractions that are near, but not equivalent to 4/12
1 answer:
You might be interested in
The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.
Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01
The radius of circle M is about 6.01.
Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01
The radius of circle M is about 6.01.
<h3><u>Question:</u></h3>
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
<h3><u>Answer:</u></h3>y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.
<h3><u>Solution:</u></h3>Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars
Let "y" be the value in dollars
Let "x" be the number of euros
We have to write a equation in form of y = kx
<em><u>8 euros were worth 9 dollars</u></em>
"k" is found as follows:
Therefore, equation of y = kx is given as:
To check the equation, use the another given value
24 euros were worth $27
Hence the equation y = 1.125x is correct