9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
Answer: 10 inches × 14 inches
Work:
length = x inches
width = x - 4 inches
perimeter = 2(l+w)
48 = 2[(x)+(x - 4)]
48 = 2(2x - 4)
24 = 2x - 4
28 = 2x
14 = x
length = x inches = 14 inches
width = x - 4 inches = 14 - 4 = 10 inches
Answer:
3
Step-by-step explanation:
Using listing:
No other factors are possible.
Hence, 1, 3, 7 and 21 are factors of 21.
Answer:
It would be 15 inches.
Step-by-step explanation:
Because the windows have to have the same area, you would have to make the base x height equal to 90. 90 divided by 6 is 15
Answer:
1) Rolling a 3 is unlikely and rolling a 4 is unlikely too.
2) The probability of niki drawing a green marble is likely and the probability of tom drawing a blue marble is unlikely.
Step-by-step explanation:
1) Since there is only one 3 out of 6 numbers, the probability of that outcome is 1/6, which is low. The same thing goes for throwing a 4.
2) The reason why it is equally likely for niki drawing a green is because there are more green marbles than the other marbles. You could see it as a fraction as well, which is 4/9 Which is very close to one half (4.5). For tom, there are less blue marbles which brings it down to the unlikely spot (fraction = 3/9)
Hopefully this helps, and hopefully it isn't too confusing.
