For this case we have the following conversion of units:
1 lb = 453.59 g
We apply the conversion of units to the weight of the package.
We have then:
(8) * (453.59) = 3628.72 g
Answer:
the weight in grams is:
3628.72 g.
you can use the following conversion factor:
1 lb = 453.59 g
Hello!
We know our denominator is 60, because that is the total amount of cities. Now, we must find our numerator:
3 + 29 = 32
Fraction: 32/60
You can simplify this by dividing both the numerator and denominator by 4:
32 ÷ 4 = 8 60 ÷ 4 = 15
FRACTION (SIMPLIFIED): 8/15
Answer:
79.77%
Step-by-step explanation:
P(X≥120) = normalcdf(120,1e99,130,12) = 0.7976716754 ≈ 0.7977 = 79.77%
Therefore, about 79.77% of operations last at least 120 minutes
<h3>
Answer: A. 18*sqrt(3)</h3>
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Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer
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An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
The second option.
Basically, you can use SAS.