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gregori [183]
3 years ago
15

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the py

ramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

V=6.66\ ft^3

Step-by-step explanation:

The perimeter of the square base of a pyramid = 7.3 ft

The height of the pyramid, h = 6ft

The perimeter of a square is given by :

P = 4s, s is the side of square

7.3 = 4s

s = 1.825 ft

The volume of a pyramid is given by :

V=\dfrac{lbh}{3}

Here, l = b = 1.825 ft

So,

V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3

So, the volume of the pyramid is equal to 6.66\ ft^3.

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• Un automóvil parte de 0 m/s y aumenta su velocidad a 60 m/s en 15 segundos. ¿Cuál es su aceleración?
jeka57 [31]

Answer:

Aceleracion = 4 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 10 m/s

Velocidad final = 70 m/s

Tiempo, t = 12 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Matemáticamente, la aceleración viene dada por la fórmula;

Aceleracion = \frac{final \; velocidad  -  inicial \; velocidad}{tiempo}

Sustituyendo en la fórmula, tenemos;

Aceleracion = \frac{60 - 0}{15}

Aceleracion = \frac{60}{15}

Aceleracion = 4 m/s²

3 0
3 years ago
The solution to the problem -4(x - 3) ≤ 16 is that x is greater than or equal to
otez555 [7]

Answer:

x is equal to.

Step-by-step explanation:

Just solve the equation for x. Whatever you get for x, plug it into the x in the equation.

Solve from there!

Hope this helped.

5 0
3 years ago
Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have al
S_A_V [24]

Answer:

1,404,000 serial numbers can be made

Step-by-step explanation:

For the five digit serial numbers, since all letters and all numbers could be used, then we can use 26 letters (A,B,C,...Z) and 10 numbers (0,1,2,...9).

Now, say the letters and numbers are to occupy the labeled spaces below

_  _  _  _  _

1   2  3  4  5

(NOTE: Spaces 1,2,3 are to be occupied by any of the 26 letter while spaces 4 and 5 are to be occupied by any of the 10 numbers)

For space 1, there are 26 possibilities

For space 2, there will be (26 -1 ) 25 possibilities (since repetition of characters is NOT allowed)

For space 3, there will be (26-2) 24 possibilities (since repetition of characters is NOT allowed)

For space 4, we have 10 possibilities

and for space 5, we (10-1) 9 possibilities (since repetition of characters is NOT allowed)

Therefore, the number of serial numbers that can be made is

26 × 25 × 24 × 10 × 9 = 1404000

Hence, 1,404,000 serial numbers can be made

OR

Using permutation, nPr = n!/(n-r)!

For the letters,

n is the total number; n = 26

and r is the number of available spaces, r = 3

For the numbers,

n = 10

r = 2

Then, we get

26P3 × 10P2

26!/(26-3)! × 10!/(10-2)!

26!/23! × 10!/8!

15600 × 90 = 1404000

5 0
3 years ago
Attempt
Pachacha [2.7K]

Answer:

Yes, the triangles are similar by SAS

Step-by-step explanation:

Looking at the picture, we see that there are two triangles with side lengths of different sides. We can deduce that the scale factor is 1 2/3, because 8 divided by 4.8 is 1 2/3, and 10 divided by 6 is the same. Now that we have clarified that the triangles share the same scale factor, we notice that the angle is also the same, as mentioned in the picture. This leads us to say that the triangles are similar by the SAS similarity theorem (Side, Angle, Side). I hope this helped and please don't hesitate to reach out with more questions!

4 0
3 years ago
a 5-liter cleaning solution contains 30% bleach. a 3-liter cleaning solution contains 50% bleach. what percent of bleach obtaine
vladimir1956 [14]

Answer:

First find the 30% of 5-liter cleaning solution.

3/10*5L=1.5L

We know 50% of 3L is 1.5.

If we add, the two bleach percentages, we get 3L of bleach.

When we add the two containers of cleaning solution, we get 8L.

The percentage of bleach in the mixture will be the ratio 3/8 expressed as a %.

3/8*100=37.5% of the cleaning solution will be bleach.

Answer: 37.5%

4 0
3 years ago
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