Answer:
Step-by-step explanation:
<u>The volume of the cube is:</u>
<u>The volume of the cut prism:</u>
- V = Bh, B- area of the base, h- height
The base is a right triangle with legs of 2.5 each.
<u>The volume is:</u>
- V = 1/2*2.5*2.5*5 = 15.625 cm³
<u>Required volume of the solid is the difference of the above volumes:</u>
- 125 - 15.625 = 109.375 cm³
If you use BEDMAS you should end up with an answer of 1004.
Answer:
The system of inequalities is


Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope

Find the equation of the line in slope intercept form

we have

substitute

The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is

step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope

Find the equation of the line (direct variation)

we have

substitute

The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is

therefore
The system of inequalities is


Answer:
28 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees so add the degrees together
40+2x+3x=180
40+5x=180
5x/5=140/5
x=28
Step-by-step explanation:
a) $350 per week
20% commission on sales
For $925 in sales, commission is
20/100 × 925 = $185
Total earning = $350 + $185 = $535
b) For $x in sales, commission is
20/100 × x = 1/5 × x = x/5 or 0.2x
Total earnings = $350 + $ x/5 or $350 + $0.2x