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olasank [31]
3 years ago
8

A container at the petting zoo holds 8138.88 cubic centimeters of grain. Visitors can fill paper cones with grain from the conta

iner. The cones have a radius of 4 centimeters and a height of 9 centimeters. How many times can you fill a cone with the grain that is stored in the container? Use 3.14 to approximate the value of Pi.
Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

  54

Step-by-step explanation:

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

  V = (1/3)πr²h

so the volume of the paper cone is ...

  V = (1/3)(3.14)(4 cm)²(9 cm) = 150.72 cm³

The volume of the grain container is ...

  8133.88/150.72 = 54

times that of the cone.

You can fill a cone 54 times with the grain stored in the container.

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T is the midpoint of S and U. ST=7x+4 & TU=10x-2. What is the value of SU?
wariber [46]

Answer:

SU = 36

Step-by-step explanation:

T is the mid point so the distance of ST and TU is the same. Since ST and TU are the same, 7x + 4 = 10x - 2.

Solve for x

7x + 4 = 10x - 2

7x - 10x = - 2 - 4

-3x = -6

x = 2.

Find SU

SU = ST + TU

= (7x + 4) + (10x - 2)

substitute the value for x into the equation (x=2)

[7(2) + 4] + [10(2) - 2] = 36

I hope this helps :)

8 0
3 years ago
Can someone explain to me how this is the correct graph of its inverse? Im having trouble understanding it. It would be much app
kow [346]

Answer: So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse

Step-by-step explanation: for steps, there are 3 of them

Step one rewrite f(x)= as y=

Step tow swap x and y

Step three solve for y ( get it by itself)

4 0
3 years ago
Lana took one and a half times as long as jayden to finish a project. If lana took 15 days how long did jayden took
maxonik [38]
Let x represent how many days it took jayden to finish 

15/1.5=10
3 0
4 years ago
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The average attendance at the first four meetings of the drama club was 75% at the next six meetings the average attendance was
lara31 [8.8K]

Answer:

81%.

Step-by-step explanation:

To find the average attendance, you will need to find the the total of the average attendance from all 10 days.

Since we know the average attendance of the first 4 meetings was 75%, we can simply assume that those 4 days had this attendance. For this, you can do:

4×75= 300.

Now, for the remaining 6 days, you will need to multiply 85% by the amount of days. 6×85= 510.

Now, to find the average, we will need to add these together:

300+510= 810...

Then divide the result from the total number days to find the AVERAGE:

810÷10= 81%.

8 0
4 years ago
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Andrej [43]

Answer:

x^8 y^18 z^5

Step-by-step explanation:

Look at The image below

4 0
3 years ago
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