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PolarNik [594]
2 years ago
7

The diagram below shows rectangle ABC is a midtsin of

Mathematics
1 answer:
Oduvanchick [21]2 years ago
8 0

Answer:

4x2+3=

Step-by-step explanation:

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The difference of two numbers is 3. their sum is 14. find the two numbers. (show work please)
Artemon [7]
Let's say the larger number is x. that means that the smaller number is x - 3. since you know their sum is x + x - 3, and that is equal to 14. so you have the equation x + x - 3 = 14. combine like terms (x) to get 2x - 3 = 14. add three to both sides to get 2x = 17. divide both sides by two to get x = 17/2. so the larger number is 17/2, and the larger number is 11/2 (17/2 - 3 = 11/2)
8 0
3 years ago
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the  terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0
2 years ago
Hector took out a small loan of $900 for 15 months. The simple interest rate on the loan was 15%. How much will he pay in intere
Liula [17]
So you have to find 15 percent of 900 which would be 135
3 0
3 years ago
Sue bought 3 t shirt for 8$ each. she paid with a $50 bill how much change should she get
muminat
Hi there!

First we need to calculate how much the 3 T-shirts cost and subtract that from the amount she paid to find the change.

First, we multiply to find the coats of the T-shirts.

3 × 8 = 24

Now, we subtract 24 from 50.

50 - 24 = 26

So, she got $26 of change.

Hope this helps!
5 0
3 years ago
2. A small businessman needs to have $20,000 at the end of the year so that he can pay
Nimfa-mama [501]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
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