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
(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys
Required number of ways for 2g / 4b = 28 * 5985 = 167,580
(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.
2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28
adding these up we get the answer to (b) which is 257,964
<span>(4d-4)(3d-2)=12d^2 + []d + 8
Using FOIL method:
4d x 3d = 12d^2
4d x -2 = -8d
-4 x 3d = -12d
-4 x -2 = 8
Adding common terms, we have:
-8d + -12d = -20 d
The missing coefficient is -20.</span>
Answer: D
Step-by-step explanation:
42+23+102+124+17+26 = 334 total responses
LC Motors charged too much = 102
102/334 = .305..
Move the decimal 2 places to the right = 30.5
Rounds to 31%
Answer:
length of a single chain link = 5.33 cm
Step-by-step explanation:
Given data: chain contained 1000 chain links
total length was 0.0533km
<em>1km = 1000m </em>
<em> 1m = 100cm therefore 1km = 100000cm</em>
<em />
total length in cm = 0.0533* 100000
total length in cm = 5330 cm
length of a single chain link = 5330/1000
length of a single chain link = 5.33 cm
