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andriy [413]
3 years ago
12

Si el área total de un prisma recto es de 4368 cm cuadrados y la altura lateral es de 10 cm, sabiendo que la base es un octágono

regular, encuentre: la longitud de uno de sus lados si la apotema es de 17.3 cm.
Mathematics
1 answer:
Pavel [41]3 years ago
3 0
Yo no se poro puedes calcular
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Can someone please show me the steps in finding the answers to these two problems ?
ratelena [41]

Answer:

  • y = 8^(x-1)
  • x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

__

1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

  an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

  y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

__

2) This equation is of the form ...

  k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

  9x = 6³ = 216

Now, you can divide by 9 to find x:

  x = 216/9

  x = 24

5 0
3 years ago
Read 2 more answers
What is the domain and range for the following function and its inverse?
Basile [38]

Answer:

"f(x)  

domain: all real numbers, range: all real numbers  

f–1(x)  

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function,  domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0
3 years ago
Prove that the triangles shown below are similar and provide a similarity statement
Salsk061 [2.6K]
The triangles are similar because two angles have the same measurements
6 0
3 years ago
The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.​
valentinak56 [21]

Check the picture below.

let's recall that a rhombu's sides are all equal.

7 0
3 years ago
Five students divided 74 base-ten rods equally among them. how many base-ten rods were left over?
lesya [120]

Answer:

Idont know that question

8 0
3 years ago
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