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1 answer:
Answer:
The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.
Step-by-step explanation:
From the random sample, we can expect that of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect
students to have played on a sports team that year.
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The values are and
Explanation:
From the figure, we can see that the two quadrilaterals are similar.
Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,
∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q
Also, GF = QR and DE = PS
Where QR = and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q =
°
Hence, to determine the value of x for the side QR, we have,
Equating the values in GF = QR,we get,
Thus, the value of x is 8.
Substituting x in the angle Q to determine the value of y.
Thus, we have,
∠F = ∠Q
Thus, the value of y is 10.
Hence, The values are and
Answer:
Volume is
Solution:
As per the question:
Diameter, d = 40 m
Radius, r = 20 m
Now,
From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:
iff
h(y) = cy + d
Then
when y = 1 m
h(- 20) = 1 m
1 = c.(- 20) + d = - 20c + d (1)
when y = 9 m
h(20) = 9 m
9 = c.20 + d = 20c + d (2)
Adding eqn (1) and (2)
d = 5 m
Using d = 5 in eqn (2), we get:
Therefore,
Now, the Volume of the pool is given by:
where
A =
Thus