Find the area and perimeter

area = 379.7 mm²

Perimeter = 95.84 mm

Step-by-step explanation:

The composite shape contains a semi circle and a trapezoid.

The area of a semi circle is

1/2 × πr²

Radius = diameter/2

Radius = 20/2 = 10 mm

Area = 1/2 × 3.14 × 10 = 15.7 mm²

Area of trapezoid is expressed as

1/2(a + b)h

Area = 1/2 × (20 + 32)14

Area = 1/2 × 52 × 14) = 364mm²

Area of the composite shape is

15.7 + 364 = 379.7 mm²

Formula for determining the perimeter of the semicircle is

1/2 × πd

Perimeter = 1/2 × 3.14 × 20 = 31.4mm

Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

h² = 12² + 14² = 340

h = √340/= 18.44

Perimeter of the composite shape is

31.4 + 14 + 32 + 18.44 =95.84 mm

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.