f(8) = 6 (1-8) +11
= 6 (-7) + 11
= -42 +11
= -31
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
Answer:
27%
Step-by-step explanation:
The ratio means that for every 11 games won, 4 are lost, so the team has won 11<em>x</em> games, lost 4<em>x</em> games, and played 15<em>x</em> games for some positive integer <em>x</em>. The percentage of games lost is
4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
Distance between Poles is 20.71 m
