Answer:
B (√6)/4
Step-by-step explanation:
The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...
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Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.
Answer:
It is (12 × 4) = 24
Step-by-step explanation:
(base × height) = area of triangle
(12 × 4) = area
area = 24
Answer: 6/5
Explanation:
Given: 5cm cube
This means each side is 5 cm because a cube has equal sides.
Area of a square is length times width so area of 1 side of a cube:
= 5 x 5
= 25
Surface area is the area of one side of a cube times the number of sides. Now, how many sides does a cube have? 6
= 25 x 6
= 150
Surface area of a 5cm cube = 150
Volume is length times width times height:
= 5 x 5 x 5
= 125
Ratio of surface area to volume:
= 150/125
= 6/5
Answer:
(8, -22)
Step-by-step explanation:
The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.
If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).
Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.