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krek1111 [17]
3 years ago
11

The sun spa charges annual dues of $125 plus $10 per hour to use the facilities. the moon spa charges annual dues of $230 plus $

7 per hour to use the facilities. for what number of hours would the two spas charge the same total amount?
Mathematics
1 answer:
sammy [17]3 years ago
3 0
I got 35 hours. You can solve by doing 10x+125=7x+230.
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You have a right circular cone of height 1530 mm and volume 2.2 x 104 in3 . Calculate the base diameter of the cone.
Alja [10]

Answer:

  37.35 in

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = (π/3)r²h

where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.

  V = (π/3)(d/2)²h

  12V/(πh) = d²

  d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))

  = 2√(1.6764×10^6/(π·1.53×10^3) in^2)

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The base diameter of the cone is about 37.35 inches.

4 0
2 years ago
What is the surface area of this triangular pyramid?
lidiya [134]

<em>48.25 in^2</em>

Step-by-step explanation:

The formula for the surface area of a pyramid is:

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B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.

A=\frac{1}{2}bh

A=.5*5*4.3

A = 10.75

Now we can plug in 10.75 for B.

SA=10.75+.5*5*3*5

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

SA=

48.25 in^2

8 0
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Answer:

B

Step-by-step explanation:

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The given equations are

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So out of the given options, correct option is the first option .

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The bottle will last 6 days
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