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elena55 [62]
3 years ago
8

The cone in Fig. 15.29 is exactly half full of water

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer:

The water is 8 cm deep.

Step-by-step explanation:

In order to solve this problem we first need to find the total volume of the cone, this is done by using the following formula:

V = \frac{\pi*r^2*h}{3}\\\\V = \frac{\pi*(6)^2*16}{3}\\\\V = \frac{576*\pi}{3}\\\\V = 192*\pi

The total volume of the cone is 192*pi cm³, if it is half full then the volume of the water is half of that, which would be 96*pi cm³, we can apply this value to the same formula in order to find the height of the water:

96\pi = \frac{\pi*(6)^2*h}{3}\\\\\pi*36*h = 288\pi\\h = \frac{288}{36}\\h = 8 \text{ cm}

The water is 8 cm deep.

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What number adds up to be 12 but also multiplies to be 12
netineya [11]
4+3+1+1+1+1+1 =12
4x3x1x1x1x1x1=12
8 0
3 years ago
A hot air balloon rises an initial 525
ludmilkaskok [199]

Answer:

380ft

Step-by-step explanation:

Assuming the balloon rises 525ft from sea level (0ft), all we need to do is subtract both numbers to find the new height.

525 - 145 = 380ft

There could be many different scenarios though because if the question provides the height of land off sea level, you would have to take that into account as well.

Best of Luck!

5 0
2 years ago
Use the graph below to fill in the blank with the correct number
Contact [7]
Where is the graph to fill in
4 0
3 years ago
J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
lana [24]
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3

2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2 
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25

JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25

3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
4 0
3 years ago
I don’t understand what to write
Whitepunk [10]

Answer:

No, she's incorrect. You cannot split up something in parenthesis when it is being squared. By doing so she doesn't have a middle term. The correct equation is 25x^6 + 30x^3 + 9

Step-by-step explanation:

1. Square the first term.

(5x^3)^2 = 25x^6

2. Square the second term.

3^2 = 9

3. Multply the two terms together and multiply by two.

5x^3 × 3 = 15x^3

15x^3 × 2 = 30x^3

4. Add everything together.

25x^6 + 30x^3 + 9

I hope this helps!

4 0
3 years ago
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