Given :
As a plane takes off it ascends at a 20 degree angle of elevation. 
If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.
To Find :
How high is the plane after 10 seconds.
Solution :
Distance travelled by plane, D = 2900 ft.
Angle of elevation, Ф = 20°.
Height gained is given by :

H = 2900 × sin 20°
H = 991.86 ft.
Therefore, height of plane after 10 seconds is 991.86 ft.
Hence, this is the required solution.
 
        
             
        
        
        
Let's call a child's ticket  and an adult's ticket
 and an adult's ticket  . From this, we can say:
. From this, we can say:
 ,
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
 .
.
Given these values, we can say:
 ,
,
since each adult ticket  costs 17,000 and each child's ticket
 costs 17,000 and each child's ticket  costs 12,750, and these costs sum to 1,653,250.
 costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:


Let's solve:


- Find  on its own, which will allow us to substitute it into the first equation on its own, which will allow us to substitute it into the first equation

- Substitute in  for for 

- Apply the Distributive Property


- Subtract 1972000 from both sides of the equation and multiply both sides by -1

We have now found that 75 child's tickets were sold. Thus,
 ,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
 
        
             
        
        
        
Counter clockwise means it goes backwards so -90°
After the 90° counter clockwise rotation the coordinates are (4,-3)
 
        
        
        
Answer:
(a)
Step-by-step explanation:
(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.
A polynomial is said to be in standard form when it is arranged in descending order/powers of x.
An example of a fourth degree polynomial is: 
We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.
(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients
change. This is illustrated by the two examples below:

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.
 
        
             
        
        
        
Answer:
9/50 im pretty sure
Step-by-step explanation:
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