Tan30=9/x so it will be 9((3)^1/2)
Answer:
Part a)
Part b)
Part c)
Step-by-step explanation:
<u><em>The complete question is</em></u>
If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
a)6 years
b)12 years
c)18 years
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
Part a) 6 years
we have
substitute in the formula above
Part b) 12 years
we have
substitute in the formula above
Part c) 18 years
we have
substitute in the formula above
Answer:
Reference angle:
is not defined.
Step-by-step explanation:
The angle
goes from the positive x-axis to the negative y-axis.
Therefore the reference angle can be calculated as following:

We know that
is:

If
then
, therefore
is not defined, because the division by 0 is not defined.
No, he can not do it
Step-by-step explanation:
To prove that the the given three sides can form a right triangle:
- Square the three sides
- Add the squares of the smaller two sides
- If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
- If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle
∵ The designer has three partitions that are 14 , 9 and 20 feet
- Square the length of each partition
∵ 9² = 81
∵ 14² = 196
∵ 20² = 400
- Add the squares of the two smaller partitions 9 and 14
∵ 81 + 196 = 277
∵ The square of the largest partition = 400
∵ 277 ≠ 400
∴ The sum of the squares of the two smaller partitions is not
equal to the square of the third partition
- To create the apartment in the shape of a right triangle he must
have three partitions the sum of the squares of the two smaller
partitions is equal to the square of the largest partition
∴ He can not create the apartment in the shape of a right triangle
No, he can not do it
Learn more:
You can learn more about the right triangles in brainly.com/question/4098846
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