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Arlecino [84]
3 years ago
5

The question is below the screen

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.

  x^2 = (2)(70+2)

  x^2 = 144

  x = √144

  x = 12

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What is the length of segment HK?
Andre45 [30]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's take length of HK = n

By using trigonometry,

  • \sin(30)  =  \dfrac{22}{n}

  • \dfrac{1}{2}  =  \dfrac{22}{n}

  • n = 44

Hence, value of HK = 44 cm

5 0
3 years ago
What is the reciprocal of 8 5/6
icang [17]
First change the mixed fraction into a improper fraction

8 5/6= 53

53/6 is your improper fraction

then flip it (reciprocal)

6/53 is your answer

hope this helps
5 0
3 years ago
Read 2 more answers
the diagram shows 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of the rectang
Sergio [31]

Answer:

2640mm

Step-by-step explanation:

I'm assuming you need the area of the rectangle which the circles don't take up.

First, to find the area of the whole rectangle:

length x width

to find length:

the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm

to find width:

the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm

So, area of rectangle = 64 x 192 = 12288mm

Now to find the area the circles take up:

area of 1 circle =

\pi \times  {r}^{2}

=

\pi \times  {32}^{2}

=

1024\pi

As we have 3 circles, we multiply this by 3:

1024\pi \times 3 = 3072\pi

Finally we subtract the area of the three circles from the area of the rectangle:

12288mm - 3072\pi = 2637

As we need to round it to 3 significant figures, the answer is 2640mm

7 0
2 years ago
Find the perimeter of the image below:
Svetllana [295]
The perimeter should be 144.7 units
8 0
4 years ago
Do anyone know <br> -8(1+4x)+7x=-25-8x
bulgar [2K]

Answer:

x = 1

Step-by-step explanation:

-8(1+4x)+7x=-25-8x (Given)

-8 + -32x + 7x = -25 - 8x (Distribute)\

-8 + -25x = -25 - 8x (Combine like terms)

-17x = -17 (Move variables(x) to the left and constants to the right)

x = 1 (Divide) (the answer is positive because when you divide a negative number by a negative number it turns positive)

8 0
2 years ago
Read 2 more answers
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