Ask question

Ask question

All categories

3 years ago

13

The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21 ft^2. Find the dimensions of t

he rectangle.

1 answer:

ICE Princess25 [194]3 years ago

4 0

Let the width be w, then length = 2w - 1

Area = length times width = w(2w - 1) = 21.

Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0

Solving the quadratic equation gives that w = 3.5.

Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.

You might be interested in

The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (eve

Svetllana [295]

Answer:

Hence, option (3) is correct.

Step-by-step explanation:

The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45

The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40

The probability of Roger winning the tournament, given that Stephan wins, is 0 i.e. $P(A|B)=0$

The probability of Stephan winning the tournament, given that Roger wins, is 0 i.e. $P(B|A)=0$

We know that $P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

⇒ P(A∩B)=0

But if A and B are independent events then P(A∩B)=P(A)×P(B)

Hence, P(A|B)=P(A)

Similarly $P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}$

Hence, if A and B are independent events then,

P(B|A)=P(B)

But in this situation such a thing is not possible.

Hence, option (3) is correct.

6 0

3 years ago

Read 2 more answers

Mr. Marcucci received a bonus of $496 from his employer. He has to pay 33% of his bonus to taxes. How much will Mr. Marcucci pay

tiny-mole [99]

Edit: 33% is not $\frac{1}{3}$ , therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68

The following is the original solution, which is incorrect.
33% = $\frac{1}{3}$ . Multiply the bonus of $496 by $\frac{1}{3}$ to get the solution of $\frac{496}{3}$ , or 165 and $\frac{1}{3}$

Therefore the solution is $165.33

7 0

3 years ago

Read 2 more answers

What’s the volume of the sphere

vodka [1.7K]

Answer:

$\pi$ ( $r^{2}$ h)

Step-by-step explanation:

r = radius

h = height

3 0

2 years ago

Shelley purchases several stuffed animals to give to charity. The price of each animal is listed in the chart. Which animal has

podryga [215]

The price of the duck because the 5 in the price of the horse is in the ones place. So you will have to divide by 10 to get to the 5 in the duck's price.

4 0

3 years ago

-3(×+2)=12 what is x equal to

velikii [3]

Answer:

x=-6

Step-by-step explanation:

Follow along:

1. Distribute the -3 to those within the parenthesis.

-3x-6=12

2. Move the whole numbers to one sides, isolate the variable.

-3x=18

3. Divide both sides by -3

x=-6

7 0

3 years ago