Answer:

Step-by-step explanation:
Given

Required
Solve for x
Subtract 5 from both sides


Divide through by 3


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:
Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22
Step-by-step explanation:
The other angle measure is 90-22 or 68.
To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.
Cosine 22= a/70- Multiply by 70
70* Cosine 22=a or about 64.9
To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse
Sine 22= o/70
70*Sine 22=o
o= about 26.22