Question

Help me with these math questions.......

Answer 1

Answer: 118.40, 300, $18,000

Explanation:

a) p(x) =
`-(1)/(5) (8) + 120`

p(8) =
`-(8)/(5) + 120`

= -1.60 + 120

= 118.40

b) R(x) = x * p(x)

=
`x(-(1)/(5)x + 120)`

=
`-(1)/(5)x^(2) + 120x`

a=
`-(1)/(5)`, b=120

x =
`(-b)/(2a)`

=
`(-120)/(-(2)/(5))`

=
`(-120(5))/(-2)`

= 300

c) R(x) =
`-(1)/(5)x^(2) + 120x`

R(300) =
`-(1)/(5)(300)^(2) + 120(300)`

= -18,000 + 36,000

= 18,000

***********************************************************************

sec θ =
`√(6)`

`(hypotenuse)/(adjacent) = (√(6))/(1)`

adjacent² + opposite² = hypotenuse²

1² + opposite² = (√6)²

1 + opposite² = 6

opposite² = 5

opposite = √5

csc θ =
`(hypotenuse)/(opposite) = (√(6))/(√(5)) = (√(30))/(5)`

cot θ =
`(adjacent)/(opposite) = (1)/(√(5)) = (√(5))/(5)`

sin θ =
`(opposite)/(hypotenuse) = (√(5))/(√(6)) = (√(30))/(6)`

cos θ =
`(adjacent)/(hypotenuse) = (1)/(√(6)) = (√(6))/(6)`

tan θ =
`(opposite)/(adjacent) = (√(5))/(1) = √(5)`

**********************************************************************

Answer: 144°

Explanation:

`(\pi)/(180)=(4\pi)/(5(x))`

π(5x) = 180(4π)

x =
`(180(4\pi))/(5\pi)`

= 36(4)

= 144