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Natalija [7]
4 years ago
12

AC is tangent to circle O at point C. What is the length of OC

Mathematics
1 answer:
Sedaia [141]4 years ago
6 0

Let OC is x, so OC=OB=x

{4}^{2}  + x^{2}  =  {(2 + x)}^{2}  \\ 16 +  {x}^{2}  = 4 + 4x +  {x}^{2}  \\ 12 = 4x \\ x = 3

Answer: OC=3 points

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Please help!
GuDViN [60]

Answer:

Step-by-step explanation:

y=3x+6

slope is 3, so y=3x+[unknown].

We insert the point (4,7) into the equation.

7=3*4+[unknown]

7=12+[-5]

so the answer is

y=3x-5

8 0
3 years ago
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Find the 9th term of the geometric sequence -8x^5,-32x^6,-128x^7...
zysi [14]

Answer:

-524288^13

Step-by-step explanation:

4: - 512^8

5: -2048^9

6: - 8192^10

7: - 32768^11

8: - 131072^12

9: - -524288^13

Formula:

-n×4^1,2,3......

7 0
3 years ago
Can anybody help me figure out the area of simple composite figure?
zvonat [6]

Given:

The length of the rectangle = 16 ft

The width of the rectangle = 12 ft

The diameter of the semicircle = 12 ft

To find the area of the given figure.

Formula

  • A=A_{1} +A_{2}

where,

A be the area of the given figure

A_{1} be the area of the rectangle

A_{2} be the area of the semicircle.

  • The area of the rectangle = lb where, l be the length and b be the width
  • Area of the semicircle = \frac{1}{2} \pi r^{2}, r be the radius of the semicircle.

Now,

The radius of the semicircle r = 6 ft

Putting, r=6, l=16 and b= 12 we get,

A_{1} = (16)(12) sq ft

or, A_{1} = 192 sq ft

A_{2} = \frac{1}{2} (3.14)(6^{2} ) sq ft

or, A_{2}=56.52 sq ft

So,

A = 56.52+192 sq ft

A = 248.52 sq ft

Rounding off to the nearest tenth, we get;

A=248.5 sq ft.

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The area of the composite figure is 248.5 sq ft.

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3 years ago
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Answer:

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Step-by-step explanation:

see map

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iragen [17]

The question is incomplete and the full version can be found online.  

Answer: Janeth has 17.92 dollars in her account.

Step-by-step explanation:

The question states that, after having been told that she overdrew her account the previous month, Claire´s new bank balance is 17.92 dollars. Having said that, the question is what does that new amount means, and the options given are that she overdrew her account by 17.92 dollars, or that she has 17.92 dollars in her account.

The answer couldn´t be that Claire overdrew her account again, by 17.92 dollars this time, because if that was the case, her new balance would be the addition of the previous -45.32 dollars plus the new -17.92 dollars:

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This means that the new amount would be -63.24. Since the number is positive, it represents the money she has in the account: 17.92 dollars

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