
Let's take length of HK = n
By using trigonometry,
Hence, value of HK = 44 cm
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
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 =

=

=

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

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

As we need to round it to 3 significant figures, the answer is 2640mm
The perimeter should be 144.7 units
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)