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:
Step-by-step explanation:
Top/Bottom = 12
Sides = 15
Front/Back = 20
20 + 15 + 12 = 47
47 / 1/2 = 23.5
Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
Answer:
the gallons must be convert to quarts. 4.9 gallons equals 20.6 quarts. 20.6 quarts divide by 1.057 liters equals 19.489 liters.
Answer:
sample size n would be 149305 large
Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval
Step-by-step explanation:
Given that;
standard deviation α = 150 min
confidence interval = 99%
since; p( -2.576 < z < 2.576) = 0.99
so z-value for 99% CI is 2.576
E = 1 minutes
Therefore
n = [(z × α) / E ]²
so we substitute
n = [(2.576 × 150) / 1 ]²
n = [ 386.4 ]²
n = 149304.96 ≈ 149305
Therefore sample size would be 149305 large
Value of n is too high, that would be the practical problem with attempting to find this confidence interval
