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katrin [286]
3 years ago
5

A Parallelogram whose vértices have coordinates r(1,-1) s(6,1) t (8,5) u 3,3 have a shorter diagonal

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

The two shortest diagonals seems to be RU and TS. A further explanation is provided below.

Step-by-step explanation:

The given coordinated are:

r = (1, 1)

s = (6, 1)

t = (8, 5)

u = (3, 3)

Now,

The distance between RU will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On putting the values, we get

= \sqrt{(3-1)^2+(3+1)^2}

= \sqrt{(2)^2+(4)^2}

= \sqrt{4+16}

= \sqrt{20}

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Find the monthly payment for the loan. Finance $500,000 for an apartment complex with a 12.3% 10-year loan.
Marina86 [1]

Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

In this problem, the parameters are given as follows:

P = 500000, r = 0.123, n = 12 x 10 = 120.

Hence:

r/12 = 0.123/12 = 0.01025.

Then, the monthly payments will be of:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 500000\frac{0.01025(1+0.01025)^{120}}{(1+0.01025)^{120} - 1}

A = 7260.50.

More can be learned about the monthly payment formula at brainly.com/question/26267630

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6 0
2 years ago
123,10kg to the nearest kg​
DENIUS [597]

Answer:123,000

Step-by-step explanation:

8 0
3 years ago
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2. Presley graphed a system of equations, and the graph showed two parallel lines. What does this mean? A. The system of equatio
iris [78.8K]

Answer:

B. The system of equations has no solution.

Step-by-step explanation:

Parallel lines never touch, in order for a system of equation to have a solution the two equations have to intersect, because parallel lines never intersect the system of equations that Presley graphed would have no solution

5 0
2 years ago
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In a hall,45%of the pupils were boys.there were 990 boys.how many pupils were there on the hall?
morpeh [17]
Your answer is 2,200 pupils.

If 990 is equal to 45% of the total amount of pupils, then to find 1% we can divide both 45 and 990 by 45.

990 ÷ 45 = 22, which is 1%, so then we multiply 22 by 100 to get 100% of the pupils, which gives us 2,200.

I hope this helps!
7 0
3 years ago
An art teacher has 28 students in her first-period class and 24 students in her second-period class. If almost 30% of the studen
Goshia [24]
Answer:
C. 8


Explanation:
One way to solve this is to find 30% of each class, 28 and 24.

30% of 28:
28 • 0.30 = 8.4
30% of 24:
24 • 0.30 = 7.2

You can then find the average of these two numbers.

8.4 + 7.2 = 15.6
15.6 ➗ 2 = 7.8
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Another way to solve is to first find the average number of people in each class.

28 + 24 = 52
52 ➗ 2 = 26

You can then find 30% of this number.

26 • 0.30 = 7.8
7.8 rounds up to 8

3 0
3 years ago
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