At a construction site, a builder plans to cut down an 8-foot-by-9-foot piece of plywood. She plans to discard any pieces that s
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An example of 12.1 arithmetic sequences algebra 2 question is Find the sum of the arithmetic series given as 1,2,3…..99,100.
<h3>What is Arithmetic sequences?</h3>An arithmetic sequence is known to be a group or sequence of numbers that is said to be the difference that exist between any two successive members of the sequence and it is a constant.
To find the sequence, one was given a total of 100 values:
So n=100.
first value = 1
Last = 100.
=100/2 (1+100)= 5050
Therefore the answer is 5050
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The volume of a fluid that flows past a point per unit time through an area is known as the flow rate, Q
The depth of water in the pan after one hour is <u>0.72 meters</u>
Reason:
The given parameters are;
The volume occupied by one rain drop = 1 cm³
The area of the square base of the pan = 1 meter by 1 meter
Duration of the rain, t = 1 hour
Rate at which rain falls = 2 raindrops per second
Region where the rain falls = 10 cm by 10 cm
Depth of water in the pan after 1 hour = Required
Solution:
The number of seconds in 1 hour = 3,600 seconds
Number of raindrops in a 10 cm by 10 cm region, <em>n</em>, is given as follows;
n = 10 drops × 10 drops = 100 drops
Number of raindrops in 1 hour = 2 × 100 drops/s × 3,600 s = 720,000 drops
Volume of water in the rain, V = 720,000 drops × 1 cm³/drop = 720,000 cm³
Area of the pan = 1 m × 1 m = 100 cm × 100 cm = 10,000 cm²
Cross sectional area of the pan = 10,000 cm²
Therefore;
- The depth of water in the pan after one hour, d = 72 cm = 0.72 m
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