A water lily is floating in a murky pond rooted on the bottom of the pond by a stem of unknown length. The lily can be lifted 2 feet over the water and moved 6 feet to the side. What is the depth of the pond?
Answers
The depth of the pond is 8 feet and this can be determined by using the Pythagorean theorem.
Given :
- A water lily is floating in a murky pond rooted on the bottom of the pond by a stem of unknown length.
- The lily can be lifted 2 feet over the water and moved 6 feet to the side.
The Pythagorean theorem can be used to determine the depth of the pound. The Pythagorean theorem according to the attached diagram is given by:
Now, put the value of the given lengths according to the attached diagram in the above equation.
4x = 32
x = 8
Therefore, the depth of the pond is 8 feet.
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Related Questions
B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of length 4. The number of binary code words, B(n), of length n, is shown above. If the length is increased from n to n+1, how many more binary code words will there be? The answer is 2^n, but I don't get how they got that answer. I would think 2^n+1 minus 2^n would be 2. Please help me! Thank you!
A tree has a height of 9 2/3 feet. What is the height of the tree after it grows 1 1/4 feet?8 1/7 feet8 5/12 feet10 3/7 feet10 11/12 feet
Evaluate the expression 2x2 - yl yl + 3xº for x = 4 and y = 7
A business student at Nowledge College must complete a total of 65 courses to graduate. The number of busi-ness courses must be greater than or equal to 23. The number of nonbusiness courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Non-business courses require a textbook costing $24 and 200 hours of study. The student has $3,000 to spend on books.
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)
Answers
Final answer:
By using the properties of logarithms, namely ㏒b(a * c) = ㏒b(a) + ㏒b(c) and ㏒b(a^p) = p * ㏒b(a), we find the approximation of the logarithm ㏒b(2b^3) to be 3.3562.
Explanation:
To approximate the value of ㏒b(2b^3), we can use the properties of logarithms. The first one is that ㏒b(a * c) = ㏒b(a) + ㏒b(c), where a and c are the numbers we wish to find the logarithm of. We can apply this property to your given expression as follows:
- ㏒b(2b^3) = ㏒b(2) + ㏒b(b^3).
The second logarithmic property we need is that ㏒b(a^p) = p * ㏒b(a), where a is the base, and p is the exponent. We can apply this property to the second term on the right side:
- ㏒b(b^3) = 3 * ㏒b(b).
- Since ㏒b(b) is equal to 1 (because b raised to the power of 1 is b), then our equation becomes:
- ㏒b(2b^3) = ㏒b(2) + 3.
Now, we can substitute the values given for ㏒b(2), which is 0.3562:
- ㏒b(2b^3) = 0.3562 + 3 = 3.3562.
So, approximating ㏒b(2b^3) to four decimal places, we get 3.3562.
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que representa Laos hombres con relacion al total
Answers
A = P (1 + r) ^ t
Substituting values we have:
3900 = 1100 * (1 + 0.04) ^ t
Clearing t we have:
(1.04) ^ t = (3900) / (1100)
log1.04 ((1.04) ^ t) = log1.04 ((3900) / (1100))
t = log1.04 ((3900) / (1100))
t = 32.3 years
Answer:
the time will be:
t = 32.3 years
Answers
Answer:
$341.00
Step-by-step explanation:
"$ 18.00 each month."
$18.00*$12.00=$216.00
$216.00+$125.00=$341.00
hope this helpes
be sure to give brainliest
6. Which line has a slope equal to 1?
HELP ON 7 two
Answers
Answer:
6 is the third one 7 is D
Step-by-step explanation:
hope this helps
if its wrong my bad
Answers
The estimated demand for ice cream cones at a price of $1.50 per cone is 44 cones using linear interpolation.
Linear interpolation can be used to estimate the demand at a price of $1.50 per cone based on the given data points.
Let, the price as "P" (in dollars) and the demand as "D" (in cones).
Given data points:
Price = $1.20, Demand = 50 cones
Price = $2.20, Demand = 30 cones
We want to estimate the demand at Price = $1.50.
First, calculate the demand change between the two price points:
Demand change = Demand at $2.20 - Demand at $1.20
Demand change = 30 - 50 = -20 cones
Now, calculate the price difference between the target price ($1.50) and the lower price ($1.20):
Price difference = Target Price - Lower Price
Price difference = 1.50 - 1.20 = 0.30
Next, calculate the proportional change in demand due to the price difference:
Proportional change = (Price difference / Price change) * Demand change
Proportional change = (0.30 / 1.00) * (-20) = -6 cones
Finally, estimate the demand at the target price:
Demand at target price = Demand at lower price + Proportional change
Demand at target price = 50 - 6 = 44 cones
Therefore, the estimated demand for ice cream cones at a price of $1.50 per cone is 44 cones using linear interpolation.
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Final answer:
Using linear interpolation, the estimated demand for ice cream cones at a price of $1.50 per cone is 44 cones.
Explanation:
To estimate the demand at a price of $1.50 per cone using linear interpolation:
- Calculate the slope or rate of change of the demand by using the formula: slope = (change in demand) / (change in price).
- Using the given data, calculate the slope as (30-50) / ($2.20-$1.20) = -20 / $1.00 = -20.
- Then, use the slope and one of the given points to find the equation of the linear demand function. Let's use the point (50, $1.20).
- The linear demand function is given by: demand = slope * (price - given price) + given demand.
- Substituting the values, we have demand = -20 * (price - $1.20) + 50.
- Finally, substitute the given price of $1.50 into the demand function: demand = -20 * ($1.50 - $1.20) + 50 = -20 * $0.30 + 50 = 44 cones.
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Answers
Answer:
this makes no sense she can make any bows