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3 years ago

AC = 12 CE = 15 AB = 4 What is BD

Mathematics

1 answer:

Mariulka [41]3 years ago

7 0

Answer:

15 / 3 = 5 so the first option is correct .

Step-by-step explanation :

well if the shape is being dilate by 3 then you need to divide BE by 3 to find BD

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Step-by-step explanation:

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3 years ago

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

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3 years ago

In a certain year, 31% of adults in a certain country viewed college education as essential for success. For the following ten-y

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Answer:

y = 31 + 2.6x

Step-by-step explanation:

Initial percentage = 31%
Average increase of percentage = 2.6% per year

<u>This can be represented as:</u>

y = 31 + 2.6x,

y- percentage after x years, x - number of years after the first year

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2 years ago