Answer:
55 1/50 or 2751/50
Step-by-step explanation:
Convert both expressions to improper form
Make their denominators the same
Multiply the numerators
Simplify the fraction if needed
For -4+3,
1. start with zero
2. move to left (-x axis) for 4 units (-4)
3. then move to right (+x axis) for 3 units (+3)
For 3+(-4)
1. Start with zero
2. Move the point to right side by 3 units (+3)
3. then move the point to the left by 4 units (-4)
For both you'll stop at -1.
Answer:
The answer is 56.52 square centimeters
Step-by-step explanation:
The area of a circle is Pi R^2 so that means the area of a semi circle is half of that which is Pi R^2/2
since diameter is 12, radius = 12/2 = 6
Area = (3.14 × 6^2)÷2 = 56.52
Answer:
C
Step-by-step explanation:
Given
6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation
6x + 24 = 2y + 10 ( subtract 10 from both sides )
6x + 14 = 2y ( divide all terms by 2 )
3x + 7 = y, hence
y = 3x + 7 → C
Trigonometry:
We know that csc x = 1 / sin x and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 =
= 2 + 28/3 = 2 + 9 1/3 = 11 1/3