Answer:
The total weight is 1593 lbs.
Step-by-step explanation:
177*9 = 1593
Hi
Here is the solution.
To find how much sand is in each bag we have to divide the weight of the sand by number bags.
Each bag hold = 48/12 = 4 pounds.
That's the answer.
The 40 feet of fencing which covers at least 182 square feet gives the possible lengths of x as x ≥ 13 or x ≤ 7
<h3>How can the area be expressed as an inequality?</h3>
Length of the fencing = 40 feet
Number of sides covered = Three sides
Area of the fencing ≥ 182 square feet
Length of the shorter side of the pen = x
The area is therefore;
2•x² - 40•x + 182 ≥ 0
2•(x² - 20•x + 91) ≥ 0
2•(x² - 13•x - 7•x + 91) ≥ 0
2•(x•(x - 13) - 7•(x - 13) ≥ 0
Which gives;
The solution to the inequality and the possible lengths of <em>x </em>are;<em> </em>x ≥ 13 or x ≤ 7
Learn more about quadratic inequalities here;
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Answer:
DB = 8
Step-by-step explanation:
Δ ADB and Δ BDC are similar so ratios of corresponding sides are equal, that is
= 
, substitute values
= 
= ( cross- multiply )
DB² = 64 ( take the square root of both sides )
DB = 
= 8
Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula 
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope is 
.
2) Now, use the point-slope formula 
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for 
, 
, and 
.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
