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ratelena [41]
3 years ago
11

Helping others makes a person good ​

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

9 cm.

Step-by-step explanation:

Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.

Volume of the pyramid:

= 1/3 * h * s^2      where s is the length of a side of the square base.

= hs^2/3 cm^3

Volume of the cuboid:

= s^2(15 - h).

So we have:

hs^2/ 3 = 300.......................(1)

s^2(15 - h) = 600..................(2)

From  equation (1) :

h s^2 = 900

s^2 = 900/h

Now substitute for s^2 in  equation (2) :

(900/h)(15 - h) = 600

Multiply through by h:

900(15 - h) = 600h

13500 - 900h = 600h

1500h = 13500

h = 9 cm (answer).                  brainliest?

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A country has 155 years of oil reserves at the current rate of consumption. Suppose that the demand for oil in the country is 2,
Alex17521 [72]

Answer:

  • a) 125,220,046 barrels
  • b) 71.25 years

Step-by-step explanation:

<u>Oil consumption:</u>

  • 2000000 barrels/year

<u>Rate of increase of consumption:</u>

  • 2% = 0.02 per year

<u>Total reserves </u>

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a) ....................................................................................

<u>Total oil consumption at the end of 42 years:</u>

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  • ...
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<u>Sum</u>:

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b)  ....................................................................................

<u>Oil reserves will last:</u>

  • 2000000*(1.02^x - 1)/(1.02 - 1) = 310000000
  • (1.02^x - 1)/0.02 = 155
  • 1.02^x - 1 = 155*0.02
  • 1.02^x =1 +3.1
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8 0
4 years ago
If triangle ABC is reflected across the y-axis, what are the coordinates
mr Goodwill [35]
<h3>Answer: Second choice.  (-5,4)</h3>

Point A is located at (5,4)

To reflect over the y axis, we flip the sign of the x coordinate while keeping the y coordinate the same. The rule is (x,y) \to (-x,y)

So we will have (5,4) \to (-5,4) as the location of A'

6 0
3 years ago
How does the shape of a cross-section of a 3D figure parallel to the base relate to the volume of the 3D figure?
Ket [755]

Answer:

The shape of each cross-section of a 3D figure,  relates to the volume because the area of the cross-section is determined by its shape and the area of this cross section is in the sum that calculates the volume of this 3D figure.

Step-by-step explanation:

An infinite sum of all the all the cross-sections of a 3D figure parallel to the base equals the volume of that 3D figure.

3 0
3 years ago
Leo has a total of 45 cents. He has some dimes and pennies. How many combinations of dimes and pennies could leo have?
Lynna [10]
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5 0
3 years ago
30 points
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Answer:

2 percent hey

Step-by-step explanation:

4 0
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