The expression inside the absolute value can be either positive or negative.
above, they solved for x in the positive expression. x/2 + 3 = 2
solve for x in the negative expression.
x/2 + 3 = -2
x/2 = -2 - 3
x/2 = -5
x = -10
total weight of both bags = 3 oz + 20.6m oz
Don's bag = 2 oz
Jamie's bag = 1 oz
Don's marbles = 9.4 oz * m
Jamie's marlbes = 11.2 oz * m
Total weight of Don's bag = 2 oz + 9.4m oz
Total weight of Jamie's bag = 1 oz + 11.2m oz
2 oz + 9.4m oz + 1 oz + 11.2m oz = 3 oz + 20.6m oz
Answer:
V = 15 in.³
Step-by-step explanation:
The original cylinder has radius r and height h.
V = πr²h
Its volume is 30 in.³, so
πr²h = 30 in.³
The new cylinder has radius (1/2)r and height 2h.
Its volume is
V = π(r/2)²(2h)
V = πr² × 2h/4
V = πr²h/2
πr²h is the volume of the original cylinder, and it is 30 in.³.
V = 30 in.³/2
V = 15 in.³
Answer:
C) -1.3
Step-by-step explanation:
|a| + b
Substitute a = -1.4 b = -2.7
|-1.4| + -2.7
Absolute values are positive
1.4 -2.7
-1.3
Answer:
<h3>#1</h3>
<u>Trapezoid</u>
- A = (b₁ + b₂)h/2
- A = (4.8 yd + 29.4 ft)(8 yd)/2 = (14.6 yd)(4 yd) = 58.4 yd²
<h3>#2</h3>
<u>Rectangle</u>
- A = ab
- A = 2 yd * 3.1 yd = 6.2 yd²
<h3>#3</h3>
<u>Equilateral triangle</u>
- A = √3/4a²
- A = √3/4(10²) = 25√3
<h3>#4</h3>
<u>Regular octagon</u>
- A = aP/2
- A = 14.5(12*8)/2 = 696
