The perimeter of the shaded part is 3.93 cm.
Step-by-step explanation:
Step 1; The perimeter of a circle is calculated by multiply 2π with the radius. This given circle is not an entire circle. An entire circle has an angle if 360° while this has an angle of 50°. So we divide 360° with 50°.
Number of these shapes to form a full circle = 360° / 50° = 7.2. So 7.2 of these shapes will need to be combined to form a full circle. So we can calculate the perimeters of full circles and then divide it by 7.2 to get the parameters of the given sections.
Step 2; The parameter and circumference of a circle are equal. So
The perimeter of shaded region = Perimeter of the entire region - Perimeter of the unshaded region.
The Perimeter of circle with radius 8cm = 2π × 8 = 50.2654 cm.
The perimeter of the given shape = 
= 6.9813 cm
The perimeter of circle with radius, 3.5cm (8cm - 4.5cm) = 2π × 3.5 = 21.9911 cm,
The perimeter of unshaded region = 
= 3.0543 cm.
So the perimeter of shaded region = 6.9813 cm - 3.0543 cm = 3.927 cm.
Rounding 3.927 to 3 significant figures we get the perimeter of shaded region equal to 3.93 cm.
1 → B
multiply each term in the parenthesis by the 6 outside
6(b-7) = 6b - 42
2 → D
multiply each term in the parenthesis by the 3 outside
3(4x+6y+2) = 12x+18y+6
3 → A
the value outside the parenthesis is -1, hence each term inside is multiplied by -1
-1(6x+5y) = -6x -5y
Answer:
x= 121
y = 93
Step-by-step explanation:
90+x+x-28 = 180(linear pair)
or, 2x-62 = 180
or, 2x = 242
so, x = 121
now
y = x-28(veritically opposite)
or, y = 121 - 28
so, y = 93
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?
5/6 ( )
so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have
5/6 ( s )
but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?
5/6 ( s + (2/3) / (5/6) )
now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.
2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15
we can reduce 12/15 by dividing the top and bottom by three.
= 4/5
so our final answer would be:
5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
Answer:
<u>50</u>
Step-by-step explanation:
<u>Changing into complex form:</u>
(6 + 8i) * (3 - 4i)
= 18 - 24i + 24i - 32 (i^2)
= 18 - 32(-1)
= 18 + 32
= <u>50</u>
