Mr. Nan Is marking a soccer field for an elementary school. Standard soccer fields are 120 yards X75 yards. He wants to make a s
maller soccer fiele
that is similar to the standard soccer field.
50
75
?
diagram not drawn to scale
120
The width of the smaller soccer field is 50 yards.
What should be the length of the smaller soccer field?
A. 80 yards
B. 95 yards
C. 100 yards
D. 180 yards
that is similar to the standard soccer field.
50
75
?
diagram not drawn to scale
120
The width of the smaller soccer field is 50 yards.
What should be the length of the smaller soccer field?
A. 80 yards
B. 95 yards
C. 100 yards
D. 180 yards
1 answer:
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The hull speed of a boat when given by the function v = 1.34√l, makes the expression represent the speed of Santa Monica, v = a√b, with <u>a = 1.34</u>, and <u>b = ln - 10</u>, where lₙ is the length of the Nina Pinta. The restriction on lₙ is that <u>lₙ > 10</u>.
In the question, we are asked to express the speed of the boat of Santa Monica in terms of the length, lₙ of the Nina Pinta.
We are informed that the function is represented as v = a√b, for the speed of Santa Monica.
We are given that the hull speed of a boat of length l is given as v = 1.34√l.
Comparing, the speed of Santa Monica v = a√b, to the general formula v = 1.34√l, we get:
a = 1.34, and
b = the length of the boat of Santa Monica.
The length of the boat of Santa Monica is 10 ft. shorter than of Nina Pinta.
Thus, b = lₙ - 10, where lₙ is the length of the boat of Nina Pinta.
Since b has to be positive, as the function involves square root over b, lₙ - 10 > 0, or, lₙ > 10, is the restriction on the length of the boat of Nina Pinta.
Thus, the hull speed of a boat when given by the function v = 1.34√l, makes the expression represent the speed of Santa Monica, v = a√b, with <u>a = 1.34</u>, and <u>b = ln - 10</u>, where lₙ is the length of the Nina Pinta. The restriction on lₙ is that <u>lₙ > 10</u>.
Refer to the attachment for the complete question since the question provided is incomplete.
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