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
Greetings!
The conclusion is:
The return trip will take 18 hours.
Reasoning:
To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.
The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:
The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:
Consequently, the return trip will take 18 hours to complete.
Have a nice day!
There are 28 combinations.
Step-by-step explanation: Initially, each of the seven bins holds one ball, leaving two remaining. If both are placed in the same bin, that offers 7 options. Conversely, if each remaining ball is positioned in different bins, the combination comes down to: 21 + 7 = 28 ways.
Positioning a 45-foot ladder against a building that is 36 feet tall, how far from the base of the building will the bottom of the ladder rest?
Question 1: (2.2, -1.4). Question 2: (1.33, 1). Providing a detailed analysis, the equations for the given lines are specified as (1) passing through points (0, 2.5) and (2.2, 1.4), and (2) through (0, -3) and (2.2, -1.4). We are tasked with locating a common solution or intersection of these equations. This leads to finding x = 2.2, and consequently y = -1.4. Therefore, the solution set is (2.2, -1.4). For question 2, the equations yield a solution of (1.33, 1).
