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Semmy [17]
3 years ago
12

Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one blo

ck 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.
Mathematics
2 answers:
Darina [25.2K]3 years ago
8 0
Radius = 1.25cm
81cm3 / 20 = 4.05 cm3 per cone
V cone = πr^2 (h/3)
So then 4.05 = π(1.25)^2 (h/3)
Then h/3 = .825 and then

h = 2.475 cm
labwork [276]3 years ago
8 0

Answer: 2.47cm

Step-by-step explanation:    BOOM!

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Answer:48 dollars

Step-by-step explanation:Just add 32.50 and 15.50 to get 48

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BRAINLIST AND 30 POINTS!
marta [7]

1.b)

Fred has F cards. Bill has B cards. Tim has T cards.

B + F + T = 167

B = 5F

T = 4F - 3

5F + F + 4F - 3 = 167

10F - 3 = 167

10F = 170

F = 17

Fred has 17 cards.

B = 5F = 5(17) = 85

Bill has 85 cards.

T = 4F - 3 = 4(17) - 3 = 65

Tim has 65 cards.

2.a)

length = L

width = W

L = W + 5

perimeter = 2L + 2W = 168

2L + 2W = 168

2(W + 5) + 2W = 168

2W + 10 + 2W = 168

4W = 158

W = 39.5

L = W + 5 = 39.5 + 5 = 44.5

Length = 44.5 inches

Width = 39.5 inches

2.b)

Original rectangle:

width = W

length = 2W

New rectangle:

width = W - 1

length = 2W + 4

perimeter = 198 inches

perimeter = 2L + 2W = 198

2(2W + 4) + 2(W - 1) = 198

4W + 8 + 2W - 2 = 198

6W + 6 = 198

6W = 192

W = 32

L = 2W = 64

width = 32 inches

length = 64 inches

3.a)

Now:

Sam's age = S

John's age = 3S

In 5 years:

John's age = 3S + 5

Sam's age = S + 5

3S + 5 = 2(S + 5)

3S + 5 = 2S + 10

S = 5

Sam's age is 5.

John's age is 15.

This is all I have time for now. Post the rest of the problems in a different post, and I'll try to help later.

8 0
3 years ago
IF YOU CAN ANSWER THIS YOUR LIKE THE SMARTEST PERSON EVER!!
Ivenika [448]
$38 dollars for beads
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