#1). The length of the whole circumference is (π · D) = 12π .
120° is 1/3 of 360°, so arc-AB is 1/3 of the whole circumference.
#2). 60° is 1/6 of 360°.
So arc-CD is 1/6 of the whole circumference (which is given).
#3). The circumference of the circle is (π·D) = 20π .
70° is (70°/360°) of the whole circle, so arc-XY
is (70/360) of the whole circumference.
#4). Sorry, I don't remember anything right now about
angles between chords.
I hope what I've given you so far is worth 5 points.
It should be the answer eighty
Answer: To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Answer:
2.267
Step-by-step explanation:
Step 1 of 3: Add.
Add
Highlighted:14 over 15
14
15
Highlighted:+ Highlighted:8 over 15
8
15
+ 4 over 5
4
5
= Highlighted:22 over 15
22
15
+ 4 over 5
4
5
Step 1 of 3: Add, sub-step a: Add.
Add
14 over 15
14
15
+ 8 over 15
8
15
= ( 14 + 8 ) over 15
14 + 8
15
= 22 over 15
22
15
Step 1 of 3: Add.Hide
Step 2 of 3: Add.
Add
22 over 15
22
15
+ 4 over 5
4
5
= 34 over 15
34
15
Step 2 of 3: Add, sub-step a: Find common denominator.
Find common denominator
22 over 15
22
15
+ 4 over 5
4
5
= ( 22 × 1 ) over ( 15 × 1 )
22 × 1
15 × 1
+ ( 4 × 3 ) over ( 5 × 3 )
4 × 3
5 × 3
= 22 over 15
22
15
+ 12 over 15
12
15
15 is the least common multiple of denominators 15 and 5. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 3: Add, sub-step b: Add.
Add
22 over 15
22
15
+ 12 over 15
12
15
= ( 22 + 12 ) over 15
22 + 12
15
= 34 over 15
34
15
Step 2 of 3: Add.Hide
Step 3 of 3: Simplify.
Simplify
34 over 15
34
15
= 2 and 4 over 152
4
15
Step 3 of 3: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 34 and 15. The result can't be further reduced.
Step 3 of 3: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
34 over 15
34
15
= 2 and 4 over 152
4
15
34 ÷ 15 = 2 remainder 4
