The figure shows segment A D with two points B and C on it in order from left to right. The length of segment A B is 22 units, t
1 answer:
The total length of the segment AD will be 52 units.
The complete question is given below:-
The figure shows segment A D with two points B and C on it in order from left to right. The length of segment A B is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units. What will be the total length of the segment AD?
<h3>What is the length?</h3>The measure of the size of any object or the distance between the two endpoints will be termed the length. In the question the total length is AD.
Given that:-
- Segment AD with two points B and C on it in order from left to right.
- The length of segment AB is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units.
The total length will be calculated as:-
The total length will be equal to the sum of all the segments of line AD. It will be the sum of AB, BC and CD.
AD = AB + BC + CD
AD = 22 + 19 + 11
AD = 52 units
Therefore the total length of the segment AD will be 52 units.
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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.
<h2>Key Concepts</h2>
- Linear equations
- Slope-intercept form
Slope-intercept form looks like this:
- <em>m</em> = slope
- <em>b</em> = y-intercept
<h2>Solving the Question</h2>
We're given:
- <em>m</em> = 0
- <em>b</em> = -5
Plug the given values into y=mx+b: