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MatroZZZ [7]
2 years ago
13

A square pyramid has a volume of 82 cubic meters. The square base has a side length of 7 meters. What is the height?

Mathematics
1 answer:
kvv77 [185]2 years ago
6 0

Check the picture below.

\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{7\times 7}{49}\\ V=82 \end{cases}\implies \begin{array}{llll} 82=\cfrac{49h}{3}\implies 246=49h\implies \cfrac{246}{49}=h \\\\\\ 5.02\approx h \end{array}

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Assume the sales representative calls 6 customers, and each call has 4 possible results: reaches the customer in person, gets an
KonstantinChe [14]

Answer:

81

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ME OUT!!!
DedPeter [7]

Answer:

20/3  or  6.67  or  6 \frac{2}{3}  (any of these are correct)

Step-by-step explanation:

Volume of triangular pyramid formula is V = 1/3 * base area * height

V = 1/3 * 5 * 4 = 20/3

20/3  or  6.67  or  6 \frac{2}{3}

4 0
2 years ago
A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the
babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the  first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.

3 0
3 years ago
Can someone please tell me why I got this wrong?
kvasek [131]
We have 
f(x)=<span>−x</span>²<span>+ 5x + 6
g(x)=</span><span>3x − 2

we know that
f(x)=g(x)
the solution is the intersection both graphs

using a graph tool
see the attached figure

the solution are the points
(4,10)
and
(-2,-8)

</span>

8 0
3 years ago
Fastest way to solve this? NOT LOOKING FOR THE ANSWER with logical explanation please about how to solve it.
White raven [17]

Answer:

Distance of Tunnel is 500 meters + Train travel rate is 20 meters per second = 25 seconds to pass through the tunnel only therefore the outstanding balance of 35 seconds x 20 meters per second =600 meters Train

Step-by-step explanation:

Total of length of train 600 meters and tunnel (500 meters) is 1,200 meters +30 seconds = TR of 20 meters per second

7 0
2 years ago
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