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madreJ [45]
3 years ago
12

A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make

a cylinder with a radius of 16 cm.
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.

cm
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
V_{1} = \frac{1}{3} * \pi * r^{2}* h= \frac{3.14* 24^{2} *6}{3} =3617.28 \\  V_{2} = \pi * r^{2}* h \\ 3617.28=3.14* 16^{2} *h \\ h= \frac{3617.28}{3.14* 16^{2}} =4.5
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What function corresponds to the ordered pairs shown in the table?
Anettt [7]

well, we know it's a line, and to get the equation of any line all we need is two points, let's pick two from the table hmmmm say let's use (-3 , -7) and (3 , 11)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2

6 0
2 years ago
Mr. Gonzazales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each includin
erica [24]

Answer:

He can buy <u>3 bracelets</u>.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be x.

Price of each bracelets = 4.50.

Total amount to spend = 42.50.

Number of t-shirts = 29.

Now, to get the number of bracelets we put an equation:

29+4.50\times x=42.50\\\\29+4.50x=42.50

<em>Subtracting both sides by 29 we get:</em>

<em />4.50x=42.50-29\\\\4.50x=13.5<em />

<em>Dividing both sides by 4.50 we get:</em>

x=3.

<u>The number of bracelets = 3.</u>

Therefore, he can buy 3 bracelets.

6 0
3 years ago
Aleesia has a box of 52 muffins. She wants to put out plates that each have the same number of muffins. What is one possible way
Dmitriy789 [7]
13,because it’s the single number that divides with 52
52:13=4
7 0
2 years ago
A rectangular board has a perimeter of 28 feet. if the length is twice the width minus 1 foot, then what is the length of the bo
Westkost [7]
P = 2(L + W)
P = 28 
L = 2W - 1

28 = 2(2W - 1 + W)
28 = 2(3W - 1)
28 = 6W - 2
28 + 2 = 6W
30 = 6W
30/6 = W
5 = W ....width is 5 ft

L = 2W - 1
L = 2(5) - 1
L = 10 - 1
L = 9 <=== length is 9 ft
4 0
3 years ago
Prove that the two circles shown below are similar.
s344n2d4d5 [400]

The circles B and D are similar since the radius of the former is as twice as the radius of the latter.

<h3>Are the two circles shown in the figure similar?</h3>

By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are r_{B} = 4 and r_{D} = 2. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.

To learn more on similarity: brainly.com/question/12670209

#SPJ1

5 0
1 year ago
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