Answer: <u>96</u> sq ft.
Step-by-step explanation:
First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.
A = L * W
A = (10 ft) * (3 ft)
A = 30 ft²
30 ft² * 3 = 90 ft²
Next, we will find the area of the two triangles.
A = 
A = 
3 ft + 3 ft = 6 ft²
Lastly, we will add them together for the total surface area.
90 ft² + 6 ft² = 96 ft²
11/5 is the correct answer :)
Answer:
Blue: y = x² + 3
Purple: y = (x + 4)²
Step-by-step explanation:
The parabolas are "transformed", meaning they have been shifted on the coordinate grid. All parabolas will have the equation of "y = x²", any additional transformation will add onto that.
Blue: Looking at the red parabola, its lowest point is only three units down from the blue's lowest points. Meaning the blue parabola went only three units up. So you only have to do the "+ 3" in the equation.
Purple: Like in blue, we're gonna look at the purple's lowest point and compare it to red's lowest point. The purple parabola seems to have shifted only four units to the left. Though, instead of adding onto the equation like in the blue parabola, any changes on the x-axis will be put into parenthesis. IN ADDITION, the sign will be the opposite of what it is on the coordinate grid. For example, the purple parabola is on the -4 of the x-axis. Instead of putting "(x - 4)", we put "(x + 4)".
Try the next two problems on your own. They will be similarly structured to the two answers above. If you need more help, lemme know. :)
<span>If x represent the number of nickels in the box and y represent the number of dimes in the box (note that x>0 and y>0), then the total value of x nickels is $5x and total value of y dimes is $10y. Adding these amounts of money you get that in money box was $</span><span><span>(5x+10y)</span>.</span>
<span> Sally knows that she has less than $20 in the box, then 5x+10y<2000 ($20=2000 cents).
</span>
Since this inequality is strict, then you should draw the dashed line 5x+10y=2000. The line divides coordinate plane into two parts.
Pick point (0,0) and consider to which part this point belongs. Since 5·0+10·0<2000, you can conclude that (0,0) is a solution of given inequality and belongs to needed part. Hence you should take the shaded part below the line for positive values of x and y.
A.) a number divided by 12
b.) 8 times a number
