Draw a place value chart for 498,274,163. Label the periods and the place values within each period
2 answers:
Answer and Explanation:
Given : Number 498,274,163.
To find : Draw a place value chart for number and label the periods and the place values within each period.
Solution :
Representation,
1) Period - Millions
Hundred million - HM
Ten million - TM
Million - M
2) Period - Thousands
Hundred thousand - HT
Ten thousand - TT
thousand-T
3) Period - Ones
Hundred - H
Tens - T
Ones - O
Periods - Millions | Thousands | Ones
Place value - HM TM M HT TT T H T O
4 9 8 2 7 4 1 6 3
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By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>How to get the measures of the other two sides of the right triangle?</h3>Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
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