It’s a rational number when you round it to any place value, if you don’t round, it’s not rational.
Rational numbers are fractions and decimals that don’t go on and on forever, and no fractions that are over 0.
Since .3333 doesn’t go on forever, it’s rational.
It’s rounded to the Ten Thousandths.
Examples:
Rational: 4/5 .35 6/8
Not Rational: .3333333 (forever) 4/0 6/0 .555555 (forever).
Hope this helps :)
Hello from MrBillDoesMath!
Answer: 48.2 degrees
Discussion:
In the diagram, "6" is the x- distance along the side adjacent to theta, and
3 * sqrt(5) is the y-distance along the side opposite angle theta.
By definition of tangent of angle, using "@" for theta, we have
tan (@) = opposite/adjacent = 3 * sqrt(5) / 6 = sqrt(5)/2
So @ = (inverse tangent (sqrt(5)/2) ) = 48.189 degrees (approximately)
Thank you,
MrB
30,000(1.067)^5
Punch that in a scientific calculator and you should get the answer.
Angle L: 70°
The trigonometric ratio used to solve for NM is the tangent ratio.
NM = 57.7 [nearest tenth]
<h3>How to Apply the Trigonometric Ratios?</h3>
Using the triangle sum theorem, find angle L.
Angle L = 180 - 90 - 20 = 70°
Using the tangent ratio, we can use ∠M and LN to solve for NM
Tan 20 = 21/NM [tan ∅ = opposite/adjacent]
NM = 21/tan 20
NM = 57.7 [nearest tenth]
Learn more about the trigonometric ratio on:
brainly.com/question/10417664
#SPJ1
This is a part:part ratio. to answer the question, we need to change it into a part:whole ratio. to do this we add up the parts to equal 7. so the ratio of girls to students is 3:7. divide 238 (whole) by 7 (whole) to equal 34. now we multiply 34 by 3 for girls and by 4 for boys. girls: 102; boys: 136.