Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.

Answers

Answer 1

The maximum height each tooth is 2.47cm.

The first step is to determine the maximum volume of a tooth.

Maximum volume of a tooth = volume of the block / number of teeth

81 cm³ / 20 = 4.05cm³

The formula to determine the height of a cone is:

Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²

Where:

π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cm

Height = 4.05  ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/1315822


Related Questions

someone help please :)

Answers

Answer: not shaded i think

Step-by-step explanation:

Answer:

Not shaded, because the equation is not true when you plugged in ( 0,0)

Step-by-step explanation:

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression

Answers

Answer:

It would be 9.6 inches after 4 weeks.

The expression you would use is  5 + 2.5 × ww = ?

Step-by-step explanation:

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.

So the sunflower was 5 inches tall to start off.

First you need to do 2.5 times 4.

Which is 9.6 inches after 4 weeks.

The expression you would use is.

5 + 2.5 × ww = ?

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?

Answers

Answer:

About 35 or 34.27 if you round to the tenths spot.

Step-by-step explanation:

514 divided by 15 is 34.27 once rounded.

Find the slope of the line that includes the ordered pairs.

Find the perpendicular slope of the given ordered pairs.​

Answers

a) the slope of the line: -5/11
b) the perpendicular slope of the line: 11/5

find the quotient 8^6/8^2

Answers

Answer:

4096

Step-by-step explanation:

You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.

Answers

The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.

It should be noted that the excess reserves can increase the firm's value and the shareholders value.

Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.

In conclusion, the excess reserves can be used in generating further income for the company.

Learn more about dividend on:

https://brainly.com/question/3161471

If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7

Answers

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

please solve quickly for 50 points

Answers

A: 208cm
B: 27cm
C: 30,000cm

Hope this helps!

what is the slope of the line on the graph​

Answers

Answer:

5

Step-by-step explanation:

HELP ASAP NO LINKS

Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.

The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?

O A. $646.07

OB. $609.50

OC. $575.00

O D. $500.00

Answers

Answer: the answer is B which is $609.50

Step-by-step explanation:

I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50

Answer:

What that other person said

52 as a product of prime factors.

Answers

Answer:

13 *2*2

or

13*2^2

Step-by-step explanation:

52 = 26*2

But 26 is not prime

52 = 13*2 *2

52 = 13 * 2^2

Step-by-step explanation:

hope it helped!! ..............

Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set

Answers

Answer:

256= 4 power 4 and 125 = 5 power 3

will give brainliest Select the correct locations on the graph.
Select the lines that represent functions.

Answers

The line on -4 to -1 and both the lines on the right side

Two plus two equal four

Answers

Answer:

Two plus two equals sixxxxxxx

Explain how you know the right triangles are similar.

Answers

Answer: You should ask an expert, or get a verified expert answer; but I will try my best you can visualize a triangle by plotting down x y in the shape of a triangle try evaluating the expression when you plot your right triangle.

Step-by-step explanation: to do this use what you have already learned about right triangles and visualize 3 different letters that correspond to numbers. (Don't use this answer unless you think it's correct). For I am not an expert

y/5 = 2/5 im not sure how to complete this question

Answers

Answer: y is 2

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for y ~

[tex] \sf \dfrac{y}{5} = \dfrac{2}{5} [/tex]

[tex] \sf y = \dfrac{2}{ \cancel5} \times \cancel5[/tex]

[tex] \sf y = 2[/tex]

Value of y is 2

Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$64.00

Step-by-step explanation:

8x8=64 (64 yards)

64x1=64

It would cost 64 dollars to buy enough carpet for the living room.

Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?

Answers

The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer:x=7

Step-by-step explanation:

Find the 60th term of the following sequence.

4, 8, 12,

Answers

Answer:

240

Step-by-step explanation:

the answer is 240, just multiply the difference between the numbers in the sequence by the number of the term you want to find

During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1​

Answers

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

Which equation best represents the line of best fit for the scatter-plot?

Answers

The answer is c use Desmos .com and see creat the lines

Convert the binary number 10101 to its base 10 equivalent.

12
21
22
31

Answers

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

A

Step-by-step explanation:

The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1

Hope that helps

Answer 1-5 for each! I’ll mark as brainiest

Answers

Answer:

4 because I had this quiz and I got 80

The tallest man living is 251cm. How many meters tall is he?

Answers

In meters he would 2.51 meters.

2 1/3 is the answer to the problem

Answer it please ❤❤❤❤❤❤❤❤❤❤ I really appreciate if u answer it ! ​

Answers

Answer:  

Josh has 60% of $600 that is $360

Daniel has $320

So Josh has more by $40

5)

Bianca has 43 votes

Carlos has 38% of the 150 vote that is 57

So Carlos has 14 more votes than Bianca

Step-by-step explanation:

You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.

A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.

Answers

Answer:

1.300 correct me if I'm wrong

9,3,1, what is the sequence and what is it equal to?

Answers

Answer: the sequence is to divide by 3 and it gets smaller and smaller by dividing by three I don't think there is an end to it.

Step-by-step explanation:

9/3=3

3/3=1

1/3=1/3

1/3/3=1/9

1/9/3=1/27

1/27/3=1/81

and I think you know what I mean by now right?

the smiths want to fence their square garden, which has an area 256 square meters.

Questions 4, 5 and 6
PLEASE I NEED THIS ASAP

Answers

The answer s=16 answer 48

10)
There are 14 black pens out of 25 pens. What percent of the pens are black?

Answers

Answer:

Step-by-step explanation:

14 dived by 25 is 56%

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