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Inessa [10]
3 years ago
5

A rectangle has an area 40 square units. The length is 6 units greater than the width.What are the dimensions?

Mathematics
2 answers:
Julli [10]3 years ago
6 0
Length 10, width 4


Work
40 = lw = (6+w)*w
40 = w^2 + 6w
40 + 9 = 49 = w^2 + 6w + 9
49 = (w + 3)^2
7 = w + 3
w = 7-3 = 4

remember that 40 = lw? We now know w, so let's find l:
40 = 4l
l = 40/4 = 10


Length 10 units, width 4 units
Lostsunrise [7]3 years ago
3 0

Answer:

10,4

Step-by-step explanation:

width = w

length =l = w+4

area= l*w = (w+4) * w

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The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers
fiasKO [112]
Let the no be X and Y

acc to ques....

x-y=9 .........1

xy=162 ..........2

substituting value from 1 in 2 we get;

x=9+y

[9+y][y] = 162

y^2+9y = 162

y^2 + 9y - 162=0

y^2 + 18y - 9y - 162=0

y[y+18] + 9[y+18]=0

[y+9][y+18}

y= -9.................................3


y= -18......................................4



case 1 :

y= -9

x = 9-9=0

case 2:

y= -18

x= 9-18 = -9
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3 years ago
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Starting at sea level a submarine rate to depth of -3/4 mile relative to sea level in 5 minutes. What was the submarine depth to
fgiga [73]
This you would have to do a proportion

5 0
3 years ago
The general equation for depreciation is given by y=a(1-r)^t where y=current value.
Jlenok [28]

With the help of the given equation, we know that the automobile is worth $12528.15 after four years.

<h3>What are equations?</h3>
  • A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
  • a formula that expresses the connection between two expressions on each side of a sign.
  • Typically, it has a single variable and an equal sign.
  • Like this: 2x - 4 Equals 2.
  • In the above example, the variable x exists.

So, the equation of depreciation: y = A(1 - r)∧t

The current value is y.

A is the initial cost.

r is the depreciation rate.

t is the time in years, and

In four years, we must ascertain the present value.

Now,

y = $24000(1 - 0.15)⁴

y = 24000(0.85)⁴

y = 24000 × 0.52200625

y = 12528.15

Therefore, with the help of the given equation, we know that the automobile is worth $12528.15 after four years.

Know more about equations here:

brainly.com/question/28937794

#SPJ4

Complete question:
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $

8 0
1 year ago
What is the hypotenuse of a triangle with 4 ft and 5 ft
sergeinik [125]

Answer:

\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft

Step-by-step explanation:

\text{Use the Pythagorean theorem:}

a^2+b^2=c^2

\text{a, b - legs}\\\text{c - hypotenuse}

\text{We have the legs 4ft and 5ft. Substitute:}

c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}

8 0
4 years ago
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