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Angelina_Jolie [31]
3 years ago
5

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the

pyramid?
11 cm3
43 cm3
58 cm3
87 cm3
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0
The answer is <span>58 cm3
</span>
The volume of the pyramid with square base is:
V = s² * h / 3
s - the edge length, s = 5 cm
h - height, h = 7 cm

V = 5² * 7 / 3
V = 25 * 7 / 3
V = 58 cm³
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A tap is filling a 10-liters tank at the speed of 5 liters per minute.
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Answer:

<em />

  • <em>It takes</em><u>     2.5 minutes   </u><em>to fill the tank.</em>

Explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

  • Net rate = rate of filling - rate of leaking
  • Net rate = 5 liters/minute - 1 liter/minute
  • Net rate = 4 liters/minute

Thus, consiedering the tank is empty at the beginning, the time is:

  • Time = Volume of the tank / net rate of filling
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3 years ago
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First: 2/4
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The answer is c. Because 8*8=64
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Please help I’m struggling so bad
Anastaziya [24]

Answer:

a) (100,70)

b) the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

d) this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

(I'm sorry if I got anything wrong, but I hope this helps!)

Step-by-step explanation:

a) the point of intersection is where the two lines meet

this is at (100, 70)

b) in the context of this problem, the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

*this is because the slope of a line can be found by rise/run, and the y-intercept can be found by where it is located on the y-axis, since x would be 0.)

(for example, for Auto-Loans, the slope would be rise/run which in this case would be 10/20 or 1/2. the y-intercept is 20 since the y is 20 when it is on the y-axis).

d) if a third company's line starts at (0,0) and has the same point of intersection, this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

3 0
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Using proportions, it is found that 1685% of an hour passes between 11:24 am and 415 am.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

One hour is composed by 60 minutes. Between 11:24 am and 4:15 am, there are 16 hours and 51 minutes, hence the number of minutes is given by:

M = 16 x 60 + 51 = 1011 minutes.

As a percentage of one hour = 60 minutes, we have that this measure is:

1011/60 x 100% = 1685%.

Hence 1685% of an hour passes between 11:24 am and 415 am.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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