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Vaselesa [24]
3 years ago
15

Look ate the picture down below, and please help me i would really appreciate it

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

  46°

Step-by-step explanation:

When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:

  ∠A = (arcDC -arcBC)/2

  12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers

  24° = arcDC -22° . . . . . . . . . multiply by 2

  46° = arcDC . . . . . . . . . . . . . add 22°

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Step-by-step explanation:

i did it in a test and i used a calculator

4 0
3 years ago
Factor the expression completely.
evablogger [386]

Answer:

Factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

6 0
3 years ago
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Answer:

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4 0
3 years ago
Asymptotes of x=3 and y=-2
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Read 2 more answers
The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series
Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

a,ar^1,ar^2,ar^3......

The sum of n terms of a GP is given by :

S_n=\dfrac{a(1-r^n)}{1-r}

Here, n = 6

S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504

So, the sum of the first 6 terms of the series is 504.

4 0
3 years ago
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