Answer:
G7. (2√3)/3
G8. -2+√7
G9. (6 +2√2 -3√3 -√6)/7
Step-by-step explanation:
G7.
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G8.
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G9.
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<em>Comment on the problems</em>
In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).
The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.
Answer:
Your 5 changes your slope
Step-by-step explanation:
Your answer is 80 mins, or an hour and 20 mins. You simply turn that fraction to a decimal by diving 3 with 5. This should turn out to be 0.6. Then you multiply the 24 mins with the 2 miles and it turns out to be 48. After this, you divide 48 by 0.6 and you get 80.
Suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to add to the picturegraph next to 95?
10
The picture shown is a unfolded rectangular prism.
The formula to find the surface area of a rectangular prism is:
A = 2(WL+HL+HW)
(W = width, L = Length, H= Height)
So we would need to determine the Height, Length, and Width first, and then plug them into the formula and solve for the area.
In this case:
The height is: 4 cm
The length is: 10.5 cm
The width is: 6.4 cm
Now that we have determined the height, length, and width, we simply plug them into the formula I showed earlier.
In this case the answer would be 269.6.
D. 269.6
