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3 years ago

Daca AB = 18cm DB = 12cm DE = 4cm si AE = 9cm, clalculati AD, BC, AC si EC?

Mathematics

1 answer:

zheka24 [161]3 years ago

5 0

I got 43 as my answer hope this helps

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The sum of 30 times (1/3)^(n-1) from 1 to infinity

sergeinik [125]

Let

$S_n=\displaystyle1+\frac13+\frac1{3^2}+\cdots+\frac1{3^n}$

Then

$\dfrac13S_n=\displaystyle\frac13+\frac1{3^2}+\frac1{3^3}+\cdots+\frac1{3^{n+1}}$

and

$S_n-\dfrac13S_n=\dfrac23S_n=1-\dfrac1{3^{n+1}}\implies S_n=\dfrac32-\dfrac1{2\cdot3^n}$

and as $n\to\infty$ , we end up with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{i=1}^{n+1}\frac1{3^{i-1}}=\lim_{n\to\infty}\left(\frac32-\frac1{2\cdot3^n}\right)=\frac32$

So we have

$\displaystyle\sum_{n=1}^\infty30\left(\frac13\right)^{n-1}=30\cdot\frac32=45$

8 0

3 years ago

A construction company built a scale model of a new building. the model was built usinga scale of 3 inches= 32 feet. if the buil

Valentin [98]

Answer: 18.75 inches

Step-by-step explanation:

Let the height of the model be represented by x. Therefore, based on the information given in the question, we can form an equation which will be:

3/x = 32/200

Cross multiply

32 × x = 200 × 3

32x = 600

x = 600/32

x = 18.75

Therefore, the height of the model is 18.75 inches

5 0

3 years ago

Heeelpppp!!!

Furkat [3]

1 1/2 cups vegetable oil is needed. You're tripling the recipe, so you put 1/2 cup and 1/2 cup together to get one, but you still need one more half cup. The answer is 1 1/2 cups

6 0

4 years ago

What is an equation of the vertical line that passes through (-2,-9)

madam [21]

check the picture below.

5 0

3 years ago

Solve the equation. Graph the solution(s) if possible. ∣x−3∣+4=9

Mazyrski [523]

Answer:

x=8

x=-2

Step-by-step explanation:

∣x−3∣+4=9

= ∣x−3∣=5

Positive term: (x-3)

(x-3) = 5

Rearrange and Add up

x = 8

Negative term: -(x-3)

Multiply

-x+3 = 5

Rearrange and Add up

-x = 2

Multiply both sides by (-1)

x = -2

3 0

3 years ago