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Valentin [98]
3 years ago
9

A hexagonal prism has.............vertices.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Step-by-step explanation:

A hexagonal prism has 12 vertices.

Hope this answer will help you.

Have a great time

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Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)
dusya [7]

Answer:

  • slope: 1
  • equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3

4 0
3 years ago
Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}

31.8309886=r

r\approx 31.83

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

4 0
3 years ago
If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,
jenyasd209 [6]

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

Q_d = 48 - 9P

Q_s = 12 + 6P

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

Q_d = Q_s

This gives:

48 -9P = 12 + 6P

Collect Like Terms

-9P - 6P = 12 - 48

-15P = -36

Solve for P

P = \frac{-36}{-15}

P =2.4

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

Q_d = 48 - 9P

Q_d = 48 - 9 * 2.4

Q_d = 26.4

<em>Hence, the equilibrium quantity is 26.4</em>

7 0
3 years ago
How do you solve this math problem of ratio?
Alex17521 [72]
I don't know, this is tricky
8 0
3 years ago
Find the sum of the linear expressions<br> (8x - 16) + (-12x - 2)
Allushta [10]

Answer:

-4x-18

Step-by-step explanation:

pickle

4 0
3 years ago
Read 2 more answers
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