Describe how the formulas for a cone, cylinder and pyramid are derived. What are the similarities between the volume of a cone and pyramid?

Answers

Answer 1
Answer: the similarities

Vcylinder=hpir^2
Vcone=(1/3)hpir^2

Vpyramid=(1/3)hlw

notice that the cylinder has a circle base and circle top
cone tapers
when that happens, the cone is 1/3 of the whole

so the pyrmid is 1/3 the volume of a shape with same base area and same height

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- Mariana debe tomar dos pastillas; una cada 6 horas y otra cada 9 horas. Si a cierta hora toma las dos pastillas juntas, ¿después de cuantas horas volverá a tomarlas simultáneamente?

Answers

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

9 = 3 x 3

So, the least common multiple is 2 x 3 x 3 = 18

So, she takes the two pills together after 18 hours.

A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.(a) Write a linear model that represents the cost based on the numbers of miles driven in a day.

(b) What is the cost of renting the truck has driven 230 miles?

Answers

y = .7x + 29

x = miles driven and, y = total cost of renting the truck

A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 15 feet more than the length of the shortest side. Find the dimensions if the perimeter is 143 feet.

Answers

Answer:

To find the dimensions of the flower bed, we can set up an equation based on the given information. Let’s assume the length of the shortest side is x. According to the problem, one side is twice the length of the shortest side, which means it is 2x, and the third side is 15 feet more than the length of the shortest side, which means it is x + 151.

The perimeter of a triangle is the sum of all its sides. In this case, we have:

x + 2x + (x + 15) = 143.

Simplifying the equation, we get:

4x + 15 = 143.

Subtracting 15 from both sides of the equation, we have:

4x = 128.

Dividing both sides of the equation by 4, we find:

x = 32.

Now that we know the value of x, we can find the lengths of all three sides:

Shortest side: x = 32 feet.

Side twice the length of the shortest side: 2x = 64 feet.

Third side: x + 15 = 47 feet.

Therefore, the dimensions of the flower bed are approximately 32 feet, 64 feet, and 47 feet.

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 42 inches, how long is each spoke? Round your answer to the nearest hundredth. A. 6.69 inches
B. 6.25 inches
C. 7 inches
D. 13.38 inches

Answers

The circumference of the wheel can be expressed by:

circumference = 2 \pi r
Where r = the radius of the wheel.

Since the spoke reaches from the center of the wheel to its rim then r = length of the spoke

By rearranging the circumference equation we get:

r = (circumference)/(2 \pi )

If circumference = 42 inches then:

r = (42)/(2 \pi )

r = 6.68
Which is closest to B

Your book may have a typo in it as the answer to 4 decimal places is 6.6845 which rounds down to 6.68, not up to 6.69.

Divide. 5892 ÷ 18 in fraction form.

Answers

Answer: 327 1/3

Hope this helps! :)

Answer:

5892 ÷ 18

327 1by 3in mixed fraction

What isthe nth term in the sequece 1 3 5 7 9

Answers

If you add 2 the answer is 11, because 
                                                           1+2 = 3 and 3+2 = 5 and 5+2 = 7
I hope this helps

or you could....


15 would be the ninth term in this sequence , because you have

1 3 5 7 9 11 13 15

skip every other number like 1 skip 2 , you have 3 skip 4 , you have 5 , skip 6

i hope this helps?  :)
1, 3, 5, 7, 9, 11, 13, 15, 19

We can tell that the pattern is add 2. 

9+2 = 11

11, 13, 15, 19

Answer: 19