Complete Question
Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.
What is the length of the pillow?
Provide an exact answer (no rounding).
Answer:
1.4m
Step-by-step explanation:
A wedge can be defined as a Triangular prism. Thus,
The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L
b = 0.5m
h = 1 m
l =??
Volume of the wedge = 0.35 m³
0.35 = 1/2 × 0.5 × 1 × L
0.35 = 0.25 × L
Solving for L, we get: L = 0.35/0.25
L = 1.4m
Answer:
Morgan, Dakota, and Taylor demonstrated their calculation for the problem 7x + 5x + 1 = 73. Point out which student made an incorrect initial step and explain your reasoning. Morgan: 7x + 5x + 1 = 73 12x + 1 = 73 Dakota: 7x + 5x + 1 = 73 7x + 6x = 73 Taylor: 7x + 5x + 1 = 73 7x + 5x = 72
Step-by-step explanation:
2x^2 - y = -5
x + y = 8
----------------adding gives us
2x^2 + x = 3 <==
** It's important to note that 2x^2 and x cannot be combined, because they are not like terms.
Answer:
24
Step-by-step explanation:
Based on the logarithmic expressions given 
, we need to identify the value of 
By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function , we will derive;
Therefore, the result of the logarithmic expression is 24
