Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
Answer:
Big Smiles Toy Company should choose Box B as its volume is 82.5 
larger than Box A
Step-by-step explanation:
Given
Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height
Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height
Volume of Box A= Length
width height=
Volume of Box B =Length width height= 
Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5
Box B has 82.5 volume larger than Box A
Answer:
2x - 3y
Step-by-step explanation:
Distribute -1/4 to all the terms in the brackets.
-1/4(-8x) -1/4(12y)
2x - 3y
Answer:
7.65
Step-by-step explanation:
15% of 51 is 7.65
