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 = $\frac{50.265}{7.2}$ = 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 = $\frac{21.991}{7.2}$ = 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.

8 0

3 years ago

In the figure find the value of x and y

otez555 [7]

Answer:

x = 8°, y = 86°

Step-by-step explanation:

the other base angle inside the triangle must be 'y' as well because two sides are congruent

y = 180-94 or 86°

x = 180-(2x86) = 180 - 172 or 8°

4 0

3 years ago

The digit in the units place of a two-digit number is 5 more than the digit in the tens place. If the digit at tens place is X,

IRISSAK [1]

Step-by-step explanation:

Let the digit at tens place of a two digits number be X

The place value of X = 10×X = 10X

The units digit = 5 more than its tens digit

= X+5

The place value of units digit

= (X+5)×1

= X+5

Now

The two digits number

= 10X+X+5

⇛ 11X+5

Therefore ,The two digits number = 11X+5.

4 0

3 years ago