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Sauron [17]
2 years ago
8

3. If the circumference of a round table is 90 inches, what is the area of the table to the nearest

Mathematics
1 answer:
Katen [24]2 years ago
6 0
It would be 7193 because I did the test. Thank you
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Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ....
Alekssandra [29.7K]

Answer:

<u>b(n) = -11 + (n-1)*8</u>

<u></u>

Step-by-step explanation:

Let n be the sequence number, with n=1 the first number b(1) -11

The sequence changes by +8 each step.

<u><em>b(1)</em></u><em>   -11</em>         + 8 =   -3

<u><em>b(2)</em></u><em>   -3</em>          + 8 =    5

<u><em>b(3)</em></u>   <em> 5 </em>         + 8 =   13

<u><em>b(4)</em></u><em> </em> <em>13</em>

b(1) = -11

b(2) = -3.   or b(1) + 1*8

b(3) =  5,    or b(1) + 2*8

b(4) =  13,   or b(1) + 3*8

We note that each step adds a multiple of 8 to the initial value of -11.  This can be stated as (n-1)*8

The formula for this sequence would be b(n) = b(1) + (n-1)*8

<u>b(n) = -11 + (n-1)*8</u>

Check:  Does n=3 return the value of 5?

b(n) = -11 + (n-1)*8

b(3) = -11 + ((3)-1)*8

b(3) = -11 + (2)*8

b(3) = -11 + 16

b(3) = 5   <u><em>YES</em></u>

5 0
2 years ago
The sum of a number and its square is 2. Find the​ number(s).
Yuliya22 [10]
Let x represent the number.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1

Numbers meeting that requirement are -2 and 1.

6 0
3 years ago
Suppose a bag contains 4 white chips and 6 black chips what is the probability of randomly choosing a white chip not replacing i
ipn [44]
Number of white chips = 4
Number of black chips = 6
Total number of chips = 4 + 6 = 10
Choosing the first white chip:
p(white chip) = 4/10 = 2/5

Now the numbers are:
Number of white chips = 3
Number of black chips = 6
Total number of chips = 3 + 6 =
Choosing the second white chip:
p(white chip) = 3/9 = 1/3

p(white chip followed by white chip) = 2/5 * 1/3 = 2/15
4 0
3 years ago
Read 2 more answers
What is the surface area of a square pyramid with a base perimeter of 60 inches and a slant height of 13 inches? 450 in. 2 O 780
kozerog [31]

Answer:

total area = 615 sq. in.

Step-by-step explanation:

There are 4 triangles that make up the lateral area.  The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in.  So, the area of one triangle = .5bh = .5(15)(13) = 97.5.  The lateral area = 4(97.5) = 390.  The area of the square base is 15(15) = 225.  The total area = 390 + 225 = 615 sq. in.

6 0
3 years ago
Will give brainliest please help ASAP
Snezhnost [94]

Answer:

D

Step-by-step explanation:

y>-3x+1                                 Negative slope

y<u><</u>x+2                                   Positive slope

< or > have dotted line

<u><</u> or <u>></u> have a solid line

> or <u>></u> means solutions are above the line

< or <u><</u> means solutions are below the line

The one with negative slope has a dotted line and solutions above it.

The one with positive slope has a solid line and solutions below it.

7 0
3 years ago
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