Describe and correct the error in telling whether the two figures are congruent?
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Use 3.14 to approximate pi.
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Step 1. Calculate the height of full cylinder (h1 = ?)
Step 2. Calculate the height of cylinder that contains 314 cm³ of water (h2 = ?)
Step 3. Find the difference between the height of the water in the full cylinder and the height when 314 cm³ of water (h1 - h2 = ?)
The volume (V) of the cylinder with radius r and height h is:
V = π * r² * h
So, h = V / (π * r²)
Step 1.
h1 = ?
V1 = 471 cm³
r = 5 cm
π = 3.14
h1 = V1 / (π * r²)
h1 = 471 / (3.14 * 5²)
h1 = 471 / (3.14 * 25)
h1 = 471 / 78.5
h1 = 6 cm
Step 2.
h2 = ?
V2 = 314 cm³
r = 5 cm
π = 3.14
h2 = V2 / (π * r²)
h2 = 314 / (3.14 * 5²)
h2 = 314 / (3.14 * 25)
h2 = 314 / 78.5
h2 = 4 cm
Step 3.
h1 - h2 = 6 - 4 = 2 cm
Answer: The answer is 2
Im from k12
Step-by-step explanation:
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First, you do 30 divided by 65 which equals 0.46153846153.
Then, you multiply 0.46153846153 by 20 and get 9.23076923077.
Hope this answer helps
9j+34j
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43j simplifies to 43, since you already added both j's together.
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sorry if I make this confusing.
basically divide the top by the bottom to see which is larger. Then compare the fractions.
1. You can convert the fraction into a decimal. For example,
1/3 = 1÷3=0.3333..
1/4 = 1÷4=0.25
The fraction are between 0 and 1/2. It can be seen that 1/3 > 1/4.
2. Making the to have the same denominator. For example,
1/3 and 1/4
The lcm of 3 and 4 is 12. So, we can make the 2 fractions to have the same denominater which is 12.
1/3 = 4/12
1/4 = 3/12
Since the dinominator is the same, we can compare the fraction by considering the numerator.
4 > 3, so, 1/3 > 1/4
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negative exponent - decimal goes to left
positive exponent - decimal goes to right
= 0.000003789
hope this helps :)
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Answer: 6720
Step-by-step explanation:
The number of permutations of n things taken r at a time is given by the following formula:
Similarly, for n=8 and r=5, the number of permutations of 8 things taken 5 at a time will be:
Hence,
The permutation is solved and the expression is ⁸P₅ = 6,720
Given data ,
The notation "8P5" represents the permutation of 8 objects taken 5 at a time.
The formula for permutation is given by: P(n, r) = n! / (n - r)!
Using this formula, we can calculate ⁸P₅ as follows:
permutation ⁸P₅ = 8! / (8 - 5)!
⁸P₅ = 8! / 3!
⁸P₅ = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
⁸P₅ = 8 * 7 * 6 * 5 * 4
permutation ⁸P₅ = 6,720
Therefore, the expression ⁸P₅ is equal to 6,720
Hence , the permutation is solved
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