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SpyIntel [72]
3 years ago
12

An aquarium has a base area of 6 square feet and a height of 2 feet. Will the aquarium fit in 15 cubic feet of space? Explain wh

y or why not. An aquarium has a base area of 6 square feet and a height of 2 feet. Will the aquarium fit in 15 cubic feet of space? Explain why or why not.
Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

Yes, the aquarium <u>will</u> fit in 15 cubic feet of space.

Step-by-step explanation:

Given:

An aquarium has a base area of 6 square feet and a height of 2 feet.

Now, to find will the aquarium fit in 15 cubic feet of space or not.

<em>So, as given the dimensions:</em>

Base area = 6 square feet.

Height = 2 feet.

Now, to get the volume of aquarium by using formula:

Volume=base\ area\times height\\\\Volume=6\times 2\\\\Volume=12\ cubic\ feet.

<u><em>As, the volume of aquarium is 12 cubic feet.</em></u>

<u><em>And, the aquarium to be fit in 15 cubic feet space. So, 15 is more than 12.</em></u>

<u><em>Thus, the aquarium will be fit in 15 cubic feet space.</em></u>

Therefore, the aquarium will fit in 15 cubic feet of space.

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A driver averaged 49 miles per hour and took 10 hours to travel between two cities. What is the distance between the two cities
Vesnalui [34]

Answer:

The answer is 490

Step-by-step explanation:

It takes 10 hours at 49MPH so you have to multiply 49 miles × 10 hours which gives you 490 miles

6 0
3 years ago
The probability of passing the math class of Professor Jones is 64%, the probability of passing Professor Smith's physics class
alexgriva [62]

Answer:

The probability of using one or the other is 36%

Step-by-step explanation:

For solving this problem it is easy if we see it in a ven diagram, for this first we are going to name the initial conditions with some variables:

Probability of passing Professor Jones math class = 64% =0,64

P(J) = 0.64

Probabiliry of passing Professor Smith's physics class = 32% =0.32

P(S) = 0.32

Probability of passing both is = 30% = 0.30

P(JnS) = 0.30 (Is is an intersection so it is in the middle of the ven diagram

We need to know which is the probability of pasing one or the other for this we need to take out the probability of passing both for this we have to add the probability of passing  Professor Jones math class with the probabiliry of passing Professor Smith's physics class and substract the probability of passing both for each one:

P(JuS) = (P(J) - P(JnS)) + (P(S) - P(JnS)) = (0.64 - 0.30) + (0.32 - 0.30) = 0.34 + 0.02 = 0.36 = 36%

If you check the ven diagram you can see that if we add all what is in red we will have the probability of passing Professor Jones math class and if we add all what is in blue we wiill have the probability of passing Professor Smith's physics class, and if we add just what is in each corner we will get the same value that is the probabilty of passsing one or the other.

5 0
3 years ago
Angle 1 and angle 2 are vertical angles. If m angle 1 = (8x+12)° and m angle 2 = (3x+37)° find the measure for each angle.
laila [671]
Vertically opposite angles are always equal.

Given angles are (8x+12)° and (3x+37)°

=> (8x+12)° = (3x + 37)°

=> 8x - 3x = 37-12

=> 5x = 25

=> x = 25/5 = 5°

Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°

Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
8 0
2 years ago
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
Brilliant_brown [7]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
Mama L [17]

Answer:

N=250

Step-by-step explanation:

 "twice as many nickels as dimes"     means    N =2D     [eq1]

 "collection of nickels and dimes is worth $25"    means

        5N + 10D = 2500      [eq2]

   (To avoid using decimal points, PLZ express everything in cents.)

Substitution   (substitute N from eq1 into eq2]:

     5(2D) + 10D = 2500

      10D + 10D = 2500

          20D = 2500

            D = 125

      N=2D         [eq1 again]

      N=2(125)

      N=250

Check:

  Is   5(250) + 10(125) = 2500   ?

        1250 +  1250 = 2500   ?

          2500 = 2500   ?yes

7 0
3 years ago
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