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The formula=A+2lh+2wh gives surface area a. Of a rectangler solid with length, width, and height, L,W, and H, respectively solve

iogann1982 [59]

Answer:

$l= \frac{A}{2h} -w$

Step-by-step explanation:

The question is not correct (particularly the expression for the area)

A=2lh+2wh

Now we are expected to solve for l, that is we are going to make l subject of the formula, we have

let us take the second term on the RHS to the LHS

$A-2wh= 2lh$

we can now divide both sides by 2h we have

$\frac{A-2wh}{2h} = l\\\\l=\frac{A}{2h} -\frac{2wh}{2h} \\\\l= \frac{A}{2h} -w$

hence the expression for the length is $l= \frac{A}{2h} -w$

6 0

3 years ago

A line passes through the point (-6, -8) and has a slope of 3/2

garri49 [273]

Answer:

y=3/2(x) -1, or y = 1.5x - 1

Step-by-step explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1

7 0

3 years ago

What is 339.12 rounded to the nearest tenth

Yakvenalex [24]

The answer should be 339.1

4 0

4 years ago

An electric guitar is on sale at 40% off. if the sale price is 179.94 ,what is the original.

n200080 [17]

Let x = original price
Knowing that multiplying the original price and the discount is the discount price. We formulate:
x(1 - 0.40) = 179.94
x(0.60) = 179.94
x = 179.94/0.60
x = 299.9
That is about 300 of the original price.

7 0

3 years ago

A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The ta

lukranit [14]

The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

Yes there is a strong positive correlation

Part B:

The function is y = 5•x + 2

Part C:

The slope indicates the number of units produced by each worker daily

The y-intercept indicates that two units can be produced without workers.

<h3>How can the existence of a correlation and the best fit function for the data be found?</h3>

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

There is a strong positive correlation between the number of workers, x, and the number of units produced, y.

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;

Slope of the equation, m = ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

y = 5•x + 2

Part C:

The slope of the function is the coefficient of the variable x in the equation, y = m•x + c

The slope of the plot, 5, indicates that each worker produces 5 units daily

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

The y-intercept of the linear equation, y = 5•x + 2, which is 2, indicates that the initial number of units of products at the factory before workers arrive is 2.

Learn more about finding relationship between variables here:

brainly.com/question/4219149

#SPJ1

7 0

1 year ago