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TiliK225 [7]
2 years ago
11

Calculate the length of the circumference of a circle with diameter of 10.4

Mathematics
2 answers:
Kitty [74]2 years ago
7 0
To work out the Circumference of a circle, we must o the calculation
πd
π x d
If we fill in the information we know
π x 10.4
3.14 x 10.4       (to 2 d.p.)
↓
32.656 (units)
Harlamova29_29 [7]2 years ago
7 0
The circumference = 2.π.r or π.d
r: radius
d: diameter

The circumference = π.10,4 = 10,4π 
or
for π=3,14 ; The circumference = 10,4 . 3,14 = 32,656
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Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.
WARRIOR [948]

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

6 0
3 years ago
(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
anygoal [31]

Answer:

<h2>50+50i</h2>

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

5 0
3 years ago
How to know the derivative of a function by looking at the graphs?
ozzi
The derivative is the gradient.

At any local Max's or min's the derivative graph will cut the x axis.

For example a graph x^2
The derivative will have a positive gradient as the gradient is increasing at the lower values then at x=0 the gradient is 0 so the derivative graph will pass the point (0,0). Remember that the derivative graph will be linear.

To get more detail find the points the graph crosses the x axis and put into for a(x-q)(x-p)=0 you will have to solve for 'a' by finding a point on the graph and substituting it in. Then you can find the derivative of that function and graph it
6 0
3 years ago
Round 198 to the nearest ten and hundred
zzz [600]
Nearest 100: 200
nearest 10: 200

4 0
3 years ago
Read 2 more answers
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iris [78.8K]

Answer:

  • 40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

<u>Time:</u>

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  • 120(x + 20) = 120x + x(x +20)
  • 120x + 2400 = 120x + x² + 20x
  • x² + 20x = 2400
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Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

3 0
2 years ago
Read 2 more answers
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