Answer:
f(6) ≈ 31
Step-by-step explanation:
If f(x) varies directly with x, we can write f(x) this way:
f(x) = kx
Using the given values, we can find k:
f(25) = k×25 = 130
k = 130/25 = 5.2
Then for x = 6, we have ...
f(x) = 5.2x
f(6) = 5.2×6 = 31.2
Rounded to the nearest whole number, ...
f(6) ≈ 31
Answer:
ADB and ABC are similar
x = 8
Step-by-step explanation:
hypotenuse in ADB = 
since two triangles are similar,

solving for x, x=8
Answer:
Population next year = 1.075p
Step-by-step explanation:
The current population can be represented by 1 p the increase in the population number by next year is 7.5% p or 7.5/100 p that equals to 0.075p. The expression that represents the expected population by next year is:
Population next year = This year population + expected growth
Population next year = 1p + 0.075p = 1.075p
The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
<h3>How to determine the length</h3>
The cosine rule is given as;

c = length of the diagonal
a = base length = 22 feet
b = 7 feet




feet
Using sine rule


Cross multiply
×
=
× 
×
=
× 

a = 18. 7 feet long
Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
Learn more about isosceles trapezoid here:
brainly.com/question/10187910
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