We can use the law of cosines as follows:
We can rewrite this equation as
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele
ct none.
When m2 = m3
none
When m2 = m3
none
1 answer:
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Each person will get cups of nuts.
Step-by-step explanation:
Given,
Quantity of nuts to share = 1/3 cups of nuts
As Dion will share this with his brother, it means,
1 share of Dion, 1 share of his brother = 2 shares
We will divide the quantity of nuts with 2.
Share of each person =
Share of each person = cups of nuts
Each person will get cups of nuts.
Keywords: fraction, division
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Answer:
University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.
Step-by-step explanation:
Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.
T = 3 × M
T – 3M = 0 ………………………….(i)
C = 3,000 + 2 × M
C – 2M = 3,000…………………..(ii)
T + C + M = 96,000…………….(iii)
By rearranging, we have:
1T + 0C – 3M = 0 ………………………….(i)
0T + 1C – 2M = 3,000…………………..(ii)
1T + 1C + 1M = 96,000………….…….(iii)
The Augmented Matrix is:
=
Making the subject of the formula we have:
=
Let’s say matrix A = , the inverse of matrix A =
is determined by the formula
. This can also be computed directly on a scientific calculator.
=
=
T = 46,500
C = 34,000
M = 15,500