Answer:
He used 17/3 feet = 5 and 2/3 feet
Step-by-step explanation:
∵ He bought 9 and 1/3 feet = 28/3 feet
∵ He had 3 and 2/3 feet left = 11/3 feet
∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet
Answer: The Horizontal asymptote of f(x) and g(x) is y=0. The third option is correct.
Explanation:
it is given that the using the rules of transformations to compare the graphs of the functions,
The graph of f(x) vertically stretch by factor 5 and shifts 1 unit right to transform g(x).
To find vertical asymptotes equate denominator equal to 0.
Therefore the function f(x) has vertical asymptote x=0, and g(x) has vertical asymptote x=1. So their is not common vertical asymptote.
To find horizontal asymptotes put .
Therefore, the function have common horizontal asymptote, i.e., y=0.
6+8+5=19
Probability= 8/19=0.42= 42% of picking green.
Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.
<h3>What is the Tangent Ratio?</h3>
For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.
Find the height of the light house and the cliff using the tangent ratio:
tan 51.3 = height/980
Height of lighthouse + cliff = (tan 51.3)(980)
Find the height of the cliff only using the tangent ratio:
tan 47.3 = height/980
Height of cliff = (tan 47.3)(980)
Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)
Height of the lighthouse from the top of the cliff ≈ 161.2 meters.
Learn more about the tangent ratio on:
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Answer:
35 dogs
Step-by-step explanation:
We can simplify the ratio 49:28 by dividing by 7
The new ratio is 7:4 which is easier to work with.
It says there are 20 cats so we know that for every 4 cats there are 7 dogs
We simply multiply 20 by 7/4
20 x 7/4 = 35 so there are 35 dogs