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Readme [11.4K]
3 years ago
12

A spherical ball of wax with a radius of 5 inches is melted and poured into a container shaped like a rectangular prism with a 1

2 inch x 10 inch base. What is the height of the melted wax in the new shape?
Mathematics
2 answers:
Novosadov [1.4K]3 years ago
7 0

Answer:

4.36 in

Step-by-step explanation:

To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height

So the steps should look like

(4/3)*π*5³=523.599 in³

523.599 in³=12*10*Height

(523.599/(12*10))=4.36 in

Sati [7]3 years ago
7 0

Answer:

4.4

Step-by-step explanation:

Took the test and got it right.

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Which of the following is a solution of x2 + 5x = −2? (2 points) 5 plus or minus the square root of 33 divided by two. 5 plus or
Talja [164]

Answer:

Solutions to the equation are =\frac{-5+/-\sqrt{17} }{2}

which agrees with the last option listed among the possible answers

Step-by-step explanation:

We solve this quadratic equation via the quadratic formula:

x^2+5x=-2\\x^2+5x+2=0\\ \\x=\frac{-5+/-\sqrt{25-4(1)(2)} }{2\,(1)} \\x=\frac{-5+/-\sqrt{17} }{2}

7 0
4 years ago
The school store sells 18 folders for $4.50. Select the three unit rates that describe this sale. $0.25 per folder , 4 folders p
max2010maxim [7]

Answer:

All of your choices are correct.

Step-by-step explanation:

4.50 ÷ 18 = .25 each

.25 x 4 = 1.00

.25 x 36 = 9.00

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5 0
3 years ago
The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference betw
swat32

A ratio shows us the number of times a number contains another number. Caitlin is right.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,

M/S = 2/5

M = 2S/5

After 8 years, their ages will be in the ratio 1:2, therefore,

(M+8)/(S+8) = 1/2

2M + 16 = S + 8

2M - S = -16 + 8

Substitute the value of M,

2(2S/5) - S = -8

-0.2S = -8

S = 40

Now, if we substitute the value of S in the first ratio,

M/S = 2/5

M/40 = 2/5

M = 16

Now, if we take the difference in their ages the difference will be 24(40-16).

Since the difference is 24, we can conclude that Caitlin is right.

Hence, Caitlin is right.

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

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2 years ago
Are the triangles similar
Viefleur [7K]
No they are not similar. Hope this helps
4 0
3 years ago
Read 2 more answers
I will give Brainliest or a Cookie, your choice
Lisa [10]
Answer: x= 10??
I hope this is correct
And I want the brainliest
4 0
3 years ago
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