Mathematics, 24.07.2019 01:00 bcox32314

The area of a rectangle is 35m^2 , and the length of the rectangle is 3m more than twice the width. find the dimensions of the rectangle.

Answers: 1

Show answers

Answers

Hey there :)

Let us change the sentence into mathematics:
Area of rectangle = 35 m²
Length of rectangle is 3 m more than twice the width = 3 + 3w
Width = w

We know the area formula of a rectangle
Area = length × width

Dimensions of the rectangle are:
35 = w ( 3 + 2w )
35 = 3w + 2w²

Take all values to one side and equate to 0

2w² + 3w - 35 = 0

Factor:
( 2w - 7 ) ( w + 5 ) = 0
w = $\frac{7}{2} = 3.5 m$ or w = - 5 ( Reject because lengths can never be negative )

Therefore the dimensions are:
Width = 3.5 m
Length = 3 + 2 ( 3.5 ) = 10 m

The area of a rectangle is 35m^2 , and the length of the rectangle is 3m more than twice the width.

The area of a rectangle is 35m^2 , and the length of the rectangle is 3m more than twice the width.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Astore manager records the total visitors and sales, in dollars, for 10 days. the data is shown in the scatter plot. what conclusion can the store manager draw based on the data? question 3 options: an increase in sales causes a decrease in visitors. an increase in sales is correlated with a decrease in visitors. an increase in visitors is correlated with an increase in sales.

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

Answers: 2

Answer

Mathematics, 21.06.2019 19:30

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Find the value of x. give reasons to justify your solutions! c ∈ ae