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musickatia [10]
3 years ago
13

The length of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer: length = 8 units

Width = 6 units

Step-by-step explanation:

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The length of a rectangle is 2 units more than the width. This means that

L = W + 2

The area of the rectangle is 48 units. This means that

LW = 48- - - - - - - - - - - - -1

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 48

W² + 2W = 48

W² + 2W - 48 = 0

W² + 8W - 6W - 48 = 0

W(W + 8) - 6(W + 8) = 0

W - 6 = 0 or W + 8 = 0

W = 6 or W = 8

Since the width of the rectangle cannot be negative, then W = 6

L = W + 2 = 6 + 2

L = 8

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3 years ago
Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters
storchak [24]

Answer:

134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889+ x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

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8 0
3 years ago
Three business associates are at their favorite local café for lunch. They have finished their meals and just received their bil
telo118 [61]
Customer #2 has the smallest total bill, including tax and tip.
Choice A, 1.06b + 0.16(1.06b), is correct.
Customer 3's bill is approximately 10% less than customer 1's bill.
Customer 2 leaves the bigger tip.

For customer #1:
(1.06(12.95))(1.15) = 15.79; the tip is 0.15(1.06(12.95)) = 2.06.
For customer #2:
1.06x = 11.65; x = 10.99; 20% tip = 0.2(10.99) = 2.20; total = 11.65+2.20 = 13.85.
For customer #3:
1.06(11.50) + 0.18(11.50) = 14.26; the tip is (0.18)(11.50) = 2.07.

Customer 3 spends 15.79-14.26 = 1.53 less than customer #1, which is 1.53/15.79 = 0.097 ≈ 10% less.
4 0
4 years ago
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