Answer:

Step-by-step explanation:
Here we see tan(B) has opposite side of 12 and adjacent of 9
using the formula:



Answer:
Step-by-step explanation:
Given that prices for a pair of shoes lie in the interval
[80,180] dollars.
Delivery fee 20% of price.
i.e. delivery fee will be in the interval [4, 9]
(1/20th of price)
Total cost= price of shoedelivery cost
Hence f(c) = c+c/20 = 21c/20
The domain of this function would be c lying between 80 to 180
So domain =[80,180]
---------------------------------
Amount to be repaid = 42 dollars
Once he received this amount, the price would be
105+42 =147
But since price range is only [21*80/20, 21*180/20]
=[84, 189]
Since now Albert has 147 dollars, he can afford is
[80,147]
Answer:
= 2x^4 + 6x^3 - 8x^2 + 24x
= 2x ( 2x^3 + 3x^2 - 4x + 12)
Step-by-step explanation:
(X^2 + x - 6) (2x^2 + 4x) =
Let's open the brackets carefully
x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x
= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x
= 2x^4 + 6x^3 - 8x^2 + 24x
= 2x ( 2x^3 + 3x^2 - 4x + 12)