Answer:
(15/17 = sin ∠ JLK)
(first option listed)
Explanation:
the "sin ∠ JLK" is what we can simply think of as the inside measurement of angle/corner L. (L is the letter in the middle of ∠ JLK , and if you imagine drawing a line from J to L to K, you would see that the only angle you formed both sides of is corner L)
so, we are looking for the sin of L.
(SOH CAH TOA)
we know that
sin = opposite / hypotenuse
However, we do not have the opposite value of this triangle <em>yet. </em>
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we can solve the length of the opposite side with the Pythagorean theorem:
a² + b² = c²
8² + b² = 17²
64 + b² = 289
- 64 - 64
b² = 225
√b² = √225
b = 15
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so, to solve for sin L,
(sin = opposite / hypotenuse)
we should divide the opposite (15) over the hypotenuse (17)
so, 15 / 17 = sin L
(15/17 = sin ∠ JLK)
Answer:
Explanation:
About 5 employees have ages that are older than 54 years.
What is a box plot?
A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.
25% are older than 54 years, hence:
Employers older than 54 years = 25% of 23 employees = 5.75
About 5 employees have ages that are older than 54 years.
Answer:
The King Has Refused To Pass Laws That Would Help The Colonists.
The Colonists Have Repeatedly Tried To Work The British Government.
The King Has Imposed Taxes Without Consent From The Colonists.