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Fed [463]
3 years ago
7

What is the approximate volume of the pyramid?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

9514 1404 393

Answer:

  6300 m³

Step-by-step explanation:

The volume of the pyramid is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = 1/3(30 m)²(21 m) = 6300 m³

The approximate volume of the pyramid is 6300 m³.

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Write the explicit formula that represents the geometric sequence -2,8,-32,128.
Dmitriy789 [7]

Answer:

a_{n} = - 2(-4)^{n-1}

Step-by-step explanation:

The n th term ( explicit formula ) for a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = - 2 and r = 8 ÷ - 2 = - 4, thus

a_{n} = - 2(-4)^{n-1}

5 0
3 years ago
A point P(x,y) moves along the graph of the equation y = x3 + x2 + 2. The x-values are changing at the rate of 2 units per secon
CaHeK987 [17]

Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.

---------------------

The equation is:

y = x^3 + x^2 + 2

Applying implicit differentiation in function of t, we have that:

\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}

  • x-values changing at a rate of 2 units per second means that \frac{dx}{dt} = 2
  • Point Q(1,4) means that x = 1, y = 4.

We want to find \frac{dy}{dt}, thus:

\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}

\frac{dy}{dt} = 3(1)^2(2) + 2(1)(2) = 6 + 4 = 10

y is changing at a rate of 10 units per second.

A similar problem is given at brainly.com/question/9543179

5 0
2 years ago
Need help on answering 8.
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

8 0
3 years ago
What is the value in cents of 2 quarters 3 dimes and 4 nickles
Nuetrik [128]

Answer: 2 quarters = 50 cents, 3 dimes = 30 cents, 4 nickels =20 cents. 50+30+20=100 cents.


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
12.5% of $100 is<br> what number?
Westkost [7]

Answer:100$-100%               100*12.5=1250

                                                    1250/100=12.5

                 ?-12.5%

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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