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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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A principal of $2000 is placed in a savings account at 3% per annum compounded annually. How much is in the account after one ye
natita [175]

Answer:

Step-by-step explanation:

After one year

A=p(1+r/n)^nt

=2000(1+0.03/12)^12*1

=2000(1+0.0025)^12

=2000(1.0025)^12

=2000(1.0304)

=$2060.8

After two-years

A=p(1+r/n)^nt

=2060.8(1+0.03/12)^12*2

=2060.8(1+0.0025)^24

=2060.8(1.0025)^24

=2060.8(1.0618)

=$2188.157

After three years

A=p(1+r/n)^nt

=2188.157(1+0.03/12)^12*3

=2188.157(1+0.0025)^36

=2188.157(1.0025)^36

=2188.157(1.0941)

=$2394.063

8 0
4 years ago
Question 3(Multiple Choice Worth 4 points)
JulijaS [17]

The value of x from the given equation is ±√10

<h3>Solving linear equations</h3>

Linear equations are equation that has a leading degree of 1. Given the equation below:

Given the equation below;

x² = 10

Take the square root of both sides

√x² = ±√10

x = ±√10

Hence the value of x from the given equation is ±√10

Learn more on equations here: brainly.com/question/2972832

#SPJ1

8 0
2 years ago
What type of slopes do parallel lines have? And, What type of slopes do perpendicular lines have?
Goshia [24]

parallel lines have the same slope

perpendicular lines have the negative reciprocal

ie 3--------> -1/3

7 0
3 years ago
Read 2 more answers
What is the median of 1, 9, 4, 6, 8, 8
liq [111]

Answer:

The median is 7.

Step-by-step explanation:

(6+8)/2 = 14/2 =7

4 0
3 years ago
Read 2 more answers
Can someone please help me on this!!????
iren [92.7K]

Answer:

V = 3196

Step-by-step explanation:

Break this down into 4 steps.

One: Find the area of the trapezoid.

Formula Area = 1/2(b1 + b2)*h

b1 = 2 feet

b2 = 13 feet

h = 6 feet

Area = 1/2(2 + 13)*6 = 15 * 3

Area = 45

Two: Find the area of the front wall on your left.

Area = L*w

L = 13

w = 11

Area = 13*11

Area = 143

Three: Add the two areas together

Area = 45 + 143 = 188

Four: Find the volume

V = Area * depth

Area = 188

Depth = 17

Volume = 188*17

Volume = 3196 cubic Feet.

7 0
3 years ago
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