the three sides of a triangle are n, 3n+2, and 4n−4. If the perimeter of the triangle is 54cm, what is the length of each side?
2 answers:
Answer: 7cm , 23 cm and 24.
Step-by-step explanation:
Given : The three sides of a triangle are n, 3n+2, and 4n−4.
We know that the perimeter of a polygon is the sum of all its sides.
Now, Perimeter of Triangle will be :-
If the perimeter of the triangle is 54 cm , then we have
Add 2 both sides, we get
Divide both sides by 8, we get
Then , 3n+2 = 3(7)+2=23
4n-4 = 4(7)-4=24
Hence, the length of all its side will be 7cm , 23 cm and 24.
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<h3>Answer: </h3><h3>Overall balance for year 5 after taxes = $1350</h3><h3>The filled out table is shown in the attached image below</h3>
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Work Shown:
10% = 10/100 = 0.10
10% of 1000 = 0.10*1000 = 100 is the amount of interest earned in year 1. This goes in the first row of column 1. The overall balance becomes 1000+100 = 1100 after we add on the interest earned. We will write 1100 in row1,column2.
Next, compute the tax: 30% of 100 = 0.30*100 = 30. The 30 will be written in row1,column3. Finally, we subtract the amount taxed (30) from the overall balance in column 2 (which was 1100). So 1100-30 = 1070 will be written in row1,column4.
After finishing row1, we should have these four values: 100, 1100, 30, 1070
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Now onto row 2
We earn the same amount in interest because we are not compounding. Write 100 in row2,column1.
The overall balance will be different. Instead of using 1000, we will use 1070 which was the figure in row1,column4. Add the amount of interest earned ($100) onto the updated balance ($1070) to get 1170. Write 1170 in row2,column2
The value in row2,column3 is the same as the value above it. This is because the amount of interest does not change, so the amount taxed doesn't change either. Basically we'll have 30s all the way down column 3. We'll also have 100s all the way down column 1.
Subtract 1170 and 30 to get 1140 which is the balance after taxes for year 2.
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Repeat these steps for the third, fourth, and fifth rows and you'll get what you see in the table below.
Answer:
the number of possible selection is 12650
Option b) 12650 is the correct answer.
Step-by-step explanation:
Given the data in the question;
total number of students n = 25
number of student selected r = 4
= ²⁵C₄
= 25! / ( 4!( 25 - 4 )! )
= 25! / (4!(21)!)
= 12650
Therefore, the number of possible selection is 12650
Option b) 12650 is the correct answer.