Answer:
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Step-by-step explanation:
The question is missing the attached figure.
The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.
the volume of the prism = length × height × width
length =
height =
width =
So the volume of the prism =
∴ The equation that shows the volume of the prism, in cubic inches
=
Answer:
(a) 0.0001 or 0.01%
(b) 0.01 or 1%
Step-by-step explanation:
Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.
The probability that if you forget your PIN, then you can guess the correct sequence
(a) at random:
(b) when you recall the first two digits.
The formula for calculating the area of a circle is expressed as;
A = πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
