<h3>
Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
Each student on average has 6 books.
<h3>
What is average?</h3>
- In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set.
- The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.
To find how many books on average each student has:
- To find the average, divide the total number of books by the total number of students.
- So, 14,400/2,400 = 6
Therefore, each student on average has 6 books.
Know more about averages here:
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Answer:
mitochondria
Step-by-step explanation:
Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° = 
= 
( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
Answer:Find the least common denominator or LCM of the two denominators:
LCM of 4 and 8 is 8
For the 1st fraction, since 4 × 2 = 8,
5
4
=
5 × 2
4 × 2
=
10
8
Likewise, for the 2nd fraction, since 8 × 1 = 8,
10
8
=
10 × 1
8 × 1
=
10
8
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
10
8
=
10
8
or
5
4
=
Step-by-step explanation:
