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prohojiy [21]
3 years ago
15

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units

, and the right cylinder has a height of 5 units. Which conclusion can be made from the given information?
The volume of the prism is half the volume of the cylinder.
The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
The volume of the prism is not equal to the volume of the cylinder.
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

The volume of the Prism is equal to the volume of the cylinder

Step-by-step explanation:

Because both are 5 units making them equal

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If you had a billion dollars and you spend one dollar every second how many years would it take you to spend it all
trapecia [35]

Answer: 31.71 years

Step-by-step explanation:

First, we need to find how many seconds are in a day.

There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute.

There are 3,600 seconds in an hour. How did we find this? 60 (min) x 60 (sec)

There are 86,400 seconds in a day. 24 (hr) x 3,600 (sec)

Now we need to find how many seconds are in a year.

There are 365 days in a year, we can multiply that by 86,400.

365 x 86,400 = 31,536,000

Whew! Now that we have that out the way, we can now divide $1 billion by 31,536,000 seconds.

1,000,000,000/31,536,000 = 31.71 (rounded to the nearest hundredth)

If you had a billion dollars, it will take 31.71 years to spend one dollar every second.

3 0
3 years ago
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While painting, Sam notices that 1/2 cup of paint covers 1/3 of a sign. What is the amount of paint needed to cover the entire s
Verdich [7]
To answer, determine the amount of paint that is needed in order to cover the whole of the sign. If we use the ratio and proportion and letting x be the unknown amount. The equation would be,
                          1/2  / 1/3 = x / 1
The value of x from the equation is equal to 1.5. Thus, the answer is letter D. 3/2 cups. 
6 0
3 years ago
What is the volume of the portion of the aquarium without water in it? 111 cm³ 14,000 cm³ 32,200 cm³ 46,200 cm³
Talja [164]

Answer:

92511cm3

Step-by-step explanation:

3 0
3 years ago
Can someone help me with this question?
sesenic [268]

Answer:

One of the angles in the triangle might be 50.

AND

The length of the third side must be 11cm or smaller.

Step-by-step explanation:

-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.

-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)

-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)

-One of the angles in the triangle might be 50 (possibly, so very much true)

3 0
3 years ago
Gilbert and Brian drove 604 miles in 11.6 hours. Gilbert drove the first part of the trip and averaged 45 miles per hour. Brian
AVprozaik [17]

The length of hours Gilbert drove is 7.5 hours.

The length of hours Brian drove is 4.1 hours.

<u>Step-by-step explanation</u>:

  • Gilbert averaged = 45 miles per hour
  • Brain averaged = 65 miles per hour
  • Total hours = 11.6 hours
  • Total distance = 604 miles

Let 'x' be the hours Gilbert drove.

Let 'y' be the hours Brian drove.

x+y = 11.6  -----(1)

45x+65y = 604 -----(2)

Multiply (1) by 45 and subtract (2) from (1)

 45x+45y = 522

-(<u>45x+65y = 604</u>)

 <u>      -20y = -82 </u>

y = 82/20

y = 4.1 hours

The length of hours Brian drove = 4.1 hours

Substitute y=4.1 in (1)

x+4.1 = 11.6

x = 7.5 hours

The length of hours Gilbert drove = 7.5 hours

3 0
3 years ago
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