Answer:
$53
Step-by-step explanation:
Given that, two type of clothes nylon and wool carpet.
Let the price of one yard of nylon carpet = $
Let the price of one yard of wool carpet = $
Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902
Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033
Writing equations as per given statement:

Here, we have to find the value of
.
By equation (1), we get:

Putting the value from equation (3) to equation (2):

Therefore, the cost per yard for the wool carpet is $<em>53.</em>
Complementary angles are those angles whose sum is 90 degree.
The measurement of two complementary angles are

There sum have to be 90 degree. That is

Combining like terms ,

Moving 20 to right side

Dividing both sides by 5

So the measurement of the angles are

Answer:
The required value of t is equal to 2
Step-by-step explanation:
We need to solve the following expression :
Now, using the base rule :

Now, using this value of 2

Hence, The required value of t is equal to 2
Answer:
The amplitude of the sinusoidal function is 3
Step-by-step explanation:

Answer: -3x^2 + x +5
Step-by-step explanation:
4x+5 + -3x^2 - 3x ----> -3x^2 + x +5