The dimensions of the rectangle are 16 inches in width and 24 inches in length.
Let's assume the width of the rectangle is x inches. According to the problem, the length is 8 inches greater than the width, so the length can be represented as (x + 8) inches.
The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 384 square inches. So, we can set up the equation:
Length * Width = Area
(x + 8) * x = 384
Expanding the equation:
x^2 + 8x = 384
Rearranging the equation to solve for x:
x^2 + 8x - 384 = 0
We can solve this quadratic equation by factoring or using the quadratic formula. Factoring it, we find:
(x - 16)(x + 24) = 0
So, x = 16 or x = -24.
Since dimensions cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 16 inches.
Substituting this value back into the equation for the length:
Length = x + 8 = 16 + 8 = 24 inches
Hence, the dimensions of the rectangle are 16 inches in width and 24 inches in length, which gives an area of 384 square inches.
Learn more about dimensions of the rectangle:
https://brainly.com/question/31677552
#SPJ11
A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers. Which statement is true? P(blue)≈0. 41 P(green)≈0. 21 P(orange)≈0. 53.
none of the provided approximations for the probabilities are accurate.To determine which statement is true, we need to calculate the probabilities of selecting each color marker.
Total number of markers = 20 green + 44 orange + 30 blue = 94 markers.
P(blue) = Number of blue markers / Total number of markers = 30 / 94 ≈ 0.319.
P(green) = Number of green markers / Total number of markers = 20 / 94 ≈ 0.213.
P(orange) = Number of orange markers / Total number of markers = 44 / 94 ≈ 0.468.
Based on the calculations, none of the given statements are true. The actual probabilities are approximately:
P(blue) ≈ 0.319,
P(green) ≈ 0.213,
P(orange) ≈ 0.468.
Therefore, none of the provided approximations for the probabilities are accurate.
To learn more about number click here:brainly.com/question/3589540
#SPJ11
Underline the prepositional phrases
i) I was proven innocent by virtue of the law.
ii) Don’t leave without your coat
i) I was proven innocent by virtue of the law.
ii) Don’t leave without your coat.
In sentence (i), the prepositional phrase "by virtue of" introduces the reason or cause for being proven innocent. It indicates that the law is the basis or foundation for the proof.
In sentence (ii), the prepositional phrase "without your coat" indicates the absence or lack of something. It specifies that the action of leaving should not occur unless the person has their coat with them.
Prepositional phrases consist of a preposition (such as "by," "of," or "without") followed by a noun or pronoun object. They provide additional information about location, time, manner, or other relationships in a sentence. Recognizing and understanding prepositional phrases helps in comprehending the structure and meaning of sentences.
learn more about prepositional here:
https://brainly.com/question/1649561
#SPJ11
