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sleet_krkn [62]
3 years ago
10

Select the correct answer.

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0

Answer:

B) 454.50

Step-by-step explanation:

-25.50 + 480.00 = 454.50

irina1246 [14]3 years ago
5 0

Answer:

454.50

Step-by-step explanation:

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77julia77 [94]

Answer:

BCF = 140°

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Find the arc-length parametrization of the curve that is the intersection of the elliptic cylinder x 2 + y 2/2 = 1 and the plane
storchak [24]

Answer:

f(\theta) = (cos(\frac{\theta}{\sqrt2}), \sqrt2 sin(\frac{\theta}{\sqrt2}), cos(\frac{\theta}{\sqrt2})-2)

0 ≤ Ф ≤ 4π.

Step-by-step explanation:

since x²+y²/2 = 1, then x²+s² = 1, with s = (y/√2)². Hence, (x,s) = (cos(Ф),sin(Ф)) and (x,y,z) = (cos(Ф),√2 sin(Ф), cos(Ф)-2). This expression evaluated in zero gives as result (1,0,-1). The derivate of this function is (-sin(Ф),√2 cos(Ф), -sen(Ф))

the norm of the derivate is √(sin²(Ф) + 2cos²(Ф)+sin²(Ф)) = √2. In order to make the norm equal to 1, i will divide Ф by √2, so that a √2 is dividing each term after derivating.

We take

f(\theta) = (cos(\frac{\theta}{\sqrt2}), \sqrt2 sin(\frac{\theta}{\sqrt2}), cos(\frac{\theta}{\sqrt2})-2)

Note that

  • f(0) = (1,0,-1)
  • f'(\theta) = (\frac{sin(\frac{\theta}{\sqrt2})}{\sqrt2}, cos(\frac{\theta}{\sqrt2})}, \frac{sin(\frac{\theta}{\sqrt2})}{\sqrt2})

Whose square norm is 1/2cos²(Ф/2)+sen²(Ф/2)+1/2cos²(Ф/2) = 1. This is te parametrization that we wanted.

The values from Ф range between 0 an 4π, because the argument of the sin and cos is Ф/2, not Ф, Ф/2 should range between 0 and 2π.

6 0
3 years ago
Use the given information to find the value of x
lora16 [44]
It’s the first one .

thank you
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2 years ago
Write 6.085 in word form.
Nostrana [21]
Six and eighty five thousandths I think
6 0
3 years ago
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To make four and a half gallons of ice cream it takes 6 3/10 gallons of milk how many gallons of milk does it take to make one g
MAVERICK [17]
Ice cream = 4 1/2 gallons
milk = 6 3/10 gallons

ice cream: 4 1/2 = (4*2 + 1)/2 = 9/2
milk: 6 3/10 = (6*10 +3)/10 = 63/10

milk:ice cream  proportion: a:b = c:d  where a*d = b*c
a = 63/10 ; b = 9/2 ; c = x ; d = 1

63/10:9/2 = x:1
63/10 * 1 = 9/2 * x
63/10 = 9x/2
63/10 * 2 = 9x/2 * 2
126/10 = 9x
126/10 * 10 = 9x * 10
126 = 90x
126/90 = 90x/90
1 36/90 = x

x = 1 36/90  simplified to 1 13/30

1 13/30 gallons of milk will make 1 gallon of ice cream.
5 0
3 years ago
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