By using trigonometric relations, we will find that:
sin(θ) = (√33)/7 = √(33/49)
<h3>How to find the value of the sine?</h3>
Remember that for a right triangle, we have the relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse).
Here we know that:
cos(θ) = 4/7
Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.
opposite cathetus = √(7^2 - 4^2) = √33
Then we can write:
sin(θ) = (√33)/7 = √(33/49)
If you want to learn more about trigonometry.
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<span>The inequality |2x − 6| less than or equal to 10 can be expressed as two form like this to get two value of x
2x-6 </span>≤<span> 10
2x</span>≤10+6
x≤8<span>
-(</span>2x-6) ≤ 10<span>
2x-6 </span>≥<span> -10
2x</span>≥-10+6
x≥-4
<span>
The graph of the inequality would be: </span>
x≤8 and x≥-4
or
-4≤x≤8
90+80+90+x=360
260+x=360
x=100
Answer:
25 divided by 5 = 5, so the unit rate is 5 circuit boards every minute.