Answer:
<h2>The answer is </h2><h2>B. 1/12</h2>
Step-by-step explanation:
step one:
From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends
step two:
we can express this problem mathematically as
we can inverse the denominator and use a multiplication sign instead
multiplying both denominators we have
The answer is B 1/12
Answer: the tuition in 2020 is $502300
Step-by-step explanation:
The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500
The fee in 2018 is the 19th term of the sequence. Therefore,
T19 = $45,4120
n = 19
Therefore,
454120 = 20500 + (19 - 1) d
454120 - 20500 = 19d
18d = 433620
d = 24090
Therefore, an
equation that can be used to find the tuition y for x years after 2000 is
y = 20500 + 24090(x - 1)
Therefore, at 2020,
n = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
170,000 square kilometers, divide by 10, or take off a 0
Answer:
A. 30
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin B = 8/16
sin B = 1/2
Take the arcsin of each side
arcsin sin(B) = arcsin (1/2)
B = arcsin (1/2)
B = 30
Answer:
Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Step-by-step explanation:
Triangular Proportionality Theorem states that:
- If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Let us consider the triangle ΔABC as shown in attached figure.
If
║
then
Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Keywords: Triangle Proportionality Theorem, triangle, line segment
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