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andrew11 [14]
3 years ago
6

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side then from the larger side o

f the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the rectangle.
Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

  The rectangle is 10 cm by 18 cm.

Step-by-step explanation:

Let x represent the distance from the center of the rectangle to the longer side. Then the distance to the shorter side is x+4. The short side of the rectangle will have length 2x, and the long side will have length 2(x+4) = 2x+8.

The perimeter is twice the sum of the side lengths, so is ...

  56 = 2(2x +(2x+8)) = 8x +16

  40 = 8x . . . . . . . subtract 16

  40/8 = x = 5 . . . divide by the coefficient of x

The side lengths are 2x=10 and 2x+8 = 18 centimeters.

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Which equation represents a line parallel to the line shown on the graph?
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Answer:

-3x+3

Step-by-step explanation:

The equation to the line shown is formed as follows.

It passes through the points (-6,0) and (-8,6)

The gradient of the line=Δy/Δx

=(y₂-y₁)/(x₂-x₁)

=(6-0)/(-8--6)

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The line parallel to the line shown has the same gradient i.e -3

Therefore the line in question is

-3x+3.

7 0
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professor190 [17]
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4 0
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8 0
3 years ago
what is the rate of inflation if a savings account has a nominal interest rate of 3% and a real interest rate of 1%
IgorLugansk [536]

Answer:

the rate of inflation is 2%.

Step-by-step explanation:

given:

Nominal interest rate =3%

Real interest rate=1%

To Find:

Rate of inflation=?

Solution:

Nominal interest rate:

Nominal interest rate refers to the interest rate before taking inflation into account.

Inflation rate:

The inflation rate is the percent increase or decrease in prices during a specified period. It's usually over a month or a year.

Real interest rate:

A real interest rate is an interest rate that has been adjusted to remove the effects of inflation to reflect the real cost of funds to the borrower and the real yield to the lender or to an investor.

Real interest rate ≈ nominal interest rate − inflation rate.

This can be re written as

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Substituting the values,

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i hope this helpsss<3

:)

if u didnt undersstand make sure to tell me so i can try to say it again

7 0
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