Answer: 10380cm^3
Explanation:
Find the volume of half cylinder:
V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3
Find the volume of the rectangle:
V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3
Find the volume of the whole shape:
V = 1980 + 8400
V = 10380cm^3
Answer:
$15
Step-by-step explanation:
20-5= 15
Answer: the price of each apple is $2.25 and the price of each mango is $1.25
Step-by-step explanation:
Let x represent the price of one apple.
Let y represent the price of one mango.
Cameron went into a grocery store and bought 4 apples and 7 mangos, costing a total of $17.75. This means that
4x + 7y = 17.75 - - - - - - - - - - - - 1
Gavin went into the same grocery store and bought 2 apples and 5 mangos, costing a total of $10.75. This means that
2x + 5y = 10.75 - - - - - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
4x + 7y = 17.75
4x + 10y = 21.5
Subtracting, it becomes
- 3y = - 3.75
y = - 3.75/ - 3
y = 1.25
Substituting y = 1.25 into equation 2, it becomes
2x + 5 × 1.25 = 10.75
2x + 6.25 = 10.75
2x = 10.75 - 6.25 = 4.5
x = 4.5/2 = 2.25
Reference the image below if you need to.
We start at red point (0,0) and reflect across blue line x= -3.
This puts the point equidistance away on the opposite side at blue point (-6, 0).
That point is then reflected across green line y= -3,
and ends up at
green point
(-6, -6).
The answer to your question is -50.