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kati45 [8]
3 years ago
13

Create an arithmetic sequence where term 1 is 1000

Mathematics
1 answer:
valkas [14]3 years ago
3 0

a_{n} = 1000 + 3(n-1)

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16/25+8/5+4+10…+a10<br> what’s the sum of the series
sweet-ann [11.9K]

Answer:

correct answer is 406/25+a10

Step-by-step explanation:

6 0
2 years ago
Given segments AB and CD intersect at E.
nata0808 [166]

The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
  • AB and CD are not congruent
  • AB does not bisect CD
  • CD does not bisect AB

<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

\mathbf{AB = 3\sqrt{2}}

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

\mathbf{3\sqrt 2 \ne \frac 12 \times 3}

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0
3 years ago
Find the next two terms in this sequence.<br><br> 1,2,6,24,120, [??],[??]
love history [14]

Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

6 0
2 years ago
Please explain to me how to find the missing measurement
Elena L [17]
So you find out how many triangles are in this by taking a point and making a line to another point that isn't on the same line. this one has 3 triangles. each triangle is 180*(using multiplication symbol for degree symbol).you do this to find out what the number of angles adds up to. 180* multiplied by 3 equals 540*. Then if you add up all the angles you have 400*. 540 - 400 equals 140*. So the final angle is 140*. Hope this helps!

5 0
4 years ago
To convert dog years to human year, count 21 human years for the first two dog years and then 4 human years per dog year for eac
Butoxors [25]
(y-2)4 + 21
You subtract two because the 21 accounts for it and then whatever you have left multiplied by 4 and added to 21 is the amount of years after conversion.







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4 0
3 years ago
Read 2 more answers
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