Answer:
The area of the shaded region is 42.50 cm².
Step-by-step explanation:
Consider the figure below.
The radius of the circle is, <em>r</em> = 5 cm.
The sides of the rectangle are:
<em>l</em> = 11 cm
<em>b</em> = 11 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[l\times b]-[\pi r^{2}]\\\\=[11\times 11]-[3.14\times 5\times 5]\\\\=121-78.50\\\\=42.50](https://tex.z-dn.net/?f=%3D%5Bl%5Ctimes%20b%5D-%5B%5Cpi%20r%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B11%5Ctimes%2011%5D-%5B3.14%5Ctimes%205%5Ctimes%205%5D%5C%5C%5C%5C%3D121-78.50%5C%5C%5C%5C%3D42.50)
Thus, the area of the shaded region is 42.50 cm².
Find Volume of 1 tennis ball:----------------------------------------------Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
----------------------------------------------Find Volume of 3 tennis balls:----------------------------------------------Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
----------------------------------------------Find Volume of teh cylindrical canister:----------------------------------------------Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
----------------------------------------------Find unoccupied space:----------------------------------------------Unoccupied space = 52.99 - 24.54
Unoccupied space = 28.45 in³
----------------------------------------------Answer: 28.45 in³----------------------------------------------
Answer:
452.16 mm squared is a correct answer.
Sure!
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A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:
2(-1) + 3 = 1
b) For f(0), we use the part for when x
0.
4(0) + 5 = 5
c) For f(2) we use the part for when x
0.
4(2) + 5 = 13
1. The number of sample size 1 jelly beans in a 2-liter jar is <u>645</u>.
2. The number of sample size 2 jelly beans in a 2-liter jar is <u>640</u>.
3. The number of sample size 3 jelly beans in a 2-liter jar is <u>637</u>.
<h3>What is a mathematical operation?</h3>
A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.
Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).
<h3>Data and Calculations:</h3>
Total weight = 1,150g
Weight of the jar = 440g
The total weight of the jelly beans = 710g (1,150 - 440)
Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)
Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)
Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)
Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.
Learn more about mathematical operations at brainly.com/question/20628271
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