Alex's dog weighs 7 times as much as her cat. Together, the two pets weigh 72 pounds. How much does Alex's dog weigh?
1 answer:
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There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.
Along the boundary , we have
which attains a maximum value of
Along , we have
which attains a maximum of
Along , we have
which attains a maximum of
So over the given region, the absolute maximum of is 1578 at (2, 44).
Answer:
x = 5 , y = 5
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values.
sin30° = , cos30° =
, then
sin30°= =
=
( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
and
cos30° = =
=
( cross- multiply )
2y = 10 ( divide both sides by 2 )
y = 5