Answer:
Step-by-step explanation:
Let the quadratic function be
We substitute 
into the equation to obtain;
We substitute 
to obtain;
We finally substitute 
to obtain;
We put equation (2) into equation (1) to get;
We add equation (4) and (5) to get;
We put 
into equation (5) to get;
The reqiured quadratic function is
M∠P = 12°
m∠Q = 90° [A tangent line to a circle is perpendicular to the radius drawn to the tangent point]
m∠O = 90 - 12 = 78°
Answer: x=78°
Answer:
95k
Step-by-step explanation:
Given :
15 words or less = 50k
Every word above 15 = additional 3k
The cost of 30 words :
First 15 words = 50 k
Number of additional words = (30 - 15) = 15 words
Cost of every additional word = 3 k
Cost of 15 additional word = 15 * 3 = 45k
Total cost of 30 words :
50k + 45k = 95k
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
Answer:
144 feets
Step-by-step explanation:
Look on s(t) like quadratic function. We need to find maximum of the function using 1st diferetioal:
s(t)=-16t^2+64t+80
s’(t)=-32t+64
S’(t)=0 if t=2
For t>2, s’(t)<0
For t<2, s’(t)>0. So the maximum od function is in the point 2.
S(2)=-16*4+64*2+80=-64+128+80=144
