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Semmy [17]
2 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]2 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]2 years ago
8 0

Answer: 2.47cm

Step-by-step explanation:    BOOM!

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4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3
Zepler [3.9K]
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
8 0
2 years ago
Read 2 more answers
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
emmasim [6.3K]

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

5 0
1 year ago
Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball car
d1i1m1o1n [39]

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2

Putting w = 2b-30 in equation 1

2b-30+b = 87\\3b = 87+30\\3b = 117

Dividing both sides by 3

\frac{3b}{3} = \frac{117}{3}\\b = 39

Putting b=39 in equation 2

w = 2(39)-30\\w = 78-30\\w = 48

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/8799684
  • brainly.com/question/8805387

#LearnwithBrainly

6 0
2 years ago
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Bond [772]

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2

The co-efficient of x is the slope of the line

So,

m= -\frac{2}{5}

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

y=m_1x+b

Putting the value of slope

y=\frac{2}{5}x+b

Putting (-5,1) in the equation to find the value of b

1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1

Putting the values of slope and b in equation

y=-\frac{2}{5}x-1

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

y-y_1=m(x-x_1)

Putting the values of slope and point in the equation, we get

y-1=-\frac{2}{5}(x+5)

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
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#LearnwithBrainly

4 0
2 years ago
Read 2 more answers
Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric. If
Gnom [1K]

Answer:

i think you add both fabric prices then divide with 5.50

7 0
2 years ago
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