Answer:
a. 
b. His teacher will receive more pencils (See explanation).
Step-by-step explanation:
a. The total number of pencils Louis brings to school is:

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.
Notice that the remainder obtained is:
.
<em>This means that Louis’s teacher will receive 4 pencils.</em>
b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.
The value of θ is 45 degrees as sin45° is equal to 1/√2.
<h3>What is trigonometric equation?</h3>
Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.
<h3>What is the ranges of trigonometric angle?</h3>
Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.
Given, 2sin²θ = 1
solving the equation
sin²θ = 1/2
sinθ = 1/√2
we know sin45° has a specific value 1/√2
sinθ = sin 45°
now, θ = 45°
hence, the solution is θ = 45 degrees.
to know more about trigonometric ratios and values visit
the link: brainly.com/question/29755110
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there is a 50% chance of landing on either heads or tails
Answer:
hi
Step-by-step explanation: