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coldgirl [10]
3 years ago
14

The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number

of cans of soda, x?
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

0.85

Step-by-step explanation:

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Angle 1 is supplementary to angle 2
Pepsi [2]

9514 1404 393

Answer:

  congruent

Step-by-step explanation:

Angles supplementary to the same angle are congruent.

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Here, angles 1 and 3 are both supplementary to angle 2, so ...

  angle 1 and angle 3 are congruent

7 0
3 years ago
The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height o
MaRussiya [10]
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8 0
3 years ago
The volume of a pyramid varies jointly as the height and the area of the base. If a pyramid has the measurements V=1144
Naddika [18.5K]

Answer:

  • 11040 m³
  • k ≈ 0.33
  • V = (1/3)Bh

Step-by-step explanation:

The given relation is ...

  V = kBh . . . . . for some base area B, height h, and constant of variation k

We are given length and width of the base so we presume it is a rectangle.

  B = l·w = 8·11 = 88 . . . . square meters

The given volume tells us the value of k:

  1144 = k(88)(39) . . . . . . cubic meters

  1144/3432 = k = 1/3 ≈ 0.33

The value of k is about 0.33.

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Then the volume of the larger pyramid is ...

  V = (1/3)(15 m)(46 m)(48 m) = 11,040 m³

The general relationship is ...

  V = 1/3Bh

7 0
3 years ago
Question part points submissions used as a science project, you drop a watermelon off the top of the empire state building, 320
Nataly [62]
We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):

vf = vi + a*t

where vf is the final velocity
            vi is the initial velocity, zero
            a is the acceleration, in this case, gravitational acceleration = 9.8m/s^2
            t is time

we also need to set-up another equation using the distance:

d = vf + vi / 2 * t

(1) 320 m = vf * t /2

(2) vf = 9.8 m/s^2 * t

From here, we have two equations and two unknown, thus we can solve the problem by substitution. 

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8 0
3 years ago
Mr.banks left work at 5:15p.m it took him 1 1/4 hours to drive home.at what time did me.banks arrive home?
Reptile [31]
6 hours and 40 mins which would be 6:45
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3 years ago
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