Answer:

Step-by-step explanation:
Let us use the identity
sin(A+B)= cos(A) sin(B)+cos (B) sin(A) to simplify the given expression
Then
--------------------(1)
Here
---------------------(2)
---------------------(3)
Substituting the values in (1)



If Yellow is x
Then purple is 3x-8
The total is 64, so x+3x-8=64
x=18
3*18-8=46
Step-by-step explanation:
The general form of the quadratic equation is :

The given equation is x²+4x+20=0
On comparing the given equation and the general equation, we find that
a = 1, b = 4 and c = 20
Hence, the correct option is a=1 b =4 c = 20.
If the equation is 2x²+6x+5=0, then
a = 2, b = 6 and c = 5
If the equation is -2x²+x+5
a = -2, b = 1 and c = 5
Answer:
45
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.

Answer:
53.3324
Step-by-step explanation:
given that a thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 40° F.
By Newton law of cooling we have
T(t) = 
where T (t) is temperature at time t,T =surrounding temperature = 40, T0 =70 = initial temperature
After half minute thermometer reads 60° F. Using this we can find k

So equation is

When t=1,
we get
