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Anna [14]
4 years ago
9

A cylinder with height 10 inches and radius 4 inches is filled with water. The water is poured into a bowl

Mathematics
1 answer:
frez [133]4 years ago
8 0

Answer:

Volume of water left in the cylinder=76\frac{2}{3}\pi \:in^3

Step-by-step explanation:

Height of the Cylinder=10 inches

Radius of the cylinder=4 Inches

Volume of the Cylinder

=\pi r^2h\\=4^2*10\pi\\=160\pi\:in^3

Radius of the Hemisphere=5 Inches

\text{Volume of a Hemisphere}=\frac{2}{3}\pi r^3\\ =\frac{2}{3}\pi *5^3\\=\frac{250\pi}{3} in^3

Since the Volume of the cylinder is greater than the Volume of the bowl, all the water will not fit.

\text{Therefore: volume of water left} =160\pi-\frac{250\pi}{3}\\=76\frac{2}{3}\pi \:in^3

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Find the general form of the equation for the quadratic that passes through the points (2,5) and (4,10)
astraxan [27]

Answer:

The answer to your question is  5x - 2y = 0

Step-by-step explanation:

Data

A (2, 5)

B (4, 10)

Process

1.- Determina the slope of the line

slope = m = (y2 - y1)  / (x2 - x1)

   x1 = 2   y1 = 5   x2 = 4  y2 = 10

-Substitution

            m = (10 - 5) / (4 - 2)

-Simplification

            m = 5/2

2.- Find the equation of the line in the general form

            y - y1 = m(x - x1)

-Substitution

            y - 5 = 5/2(x - 2)

-Simplification

           2(y - 5) = 5(x - 2)

           2y - 10 = 5x - 10

           5x - 2y - 10 + 10 = 0

-Result

           5x - 2y = 0

4 0
4 years ago
](6^3 - 9)/23]4<br><br> Evaluate this expression
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His iso youno Hepworth 6 sih
8 0
3 years ago
What is this !?help please!​
vfiekz [6]
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6 0
3 years ago
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Suppose three lamp posts exist on a straight
Andrews [41]

Answer:

324 ft

Step-by-step explanation:

1. We know there are 3 points (A, B, and C)

so far. We also know B is in the middle of A and C.

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2. Reading further, post B is 2x as far from C as it is from A.

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3. Now we know the numeral measurements of the entire stretch going from A to C (486ft).

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4. How far is point B from C??? Using the info we have, we need to break the total(486) into 3 parts.

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1 2 3

5. When we divide or break 486 into 3, we get 162 ft. So each of those 3 dividing sections between A B and C are 162ft.

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6. We know that the dividing section between B and C is double the dividing section between A and B. So, to conclude, you double 162 = 324.

7. Make sure to put it into the correct form to answer (ft) and there you go!

Hope I helped! :))

8 0
3 years ago
Charles is going to purchase a new car that has a list price of $21,450. He is planning on trading in his good-condition 2004 Do
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vehicle registration fee - 1,089
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loan term - 3 years, paid monthly. so, 36 months
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No mention of down payment so the possible amount to be financed is: 24,138.76
The value of the traded car is only considered after the financing has been paid off. 

7 0
3 years ago
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