Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
C. 5 units is the answer and I am typing to make in 20 characters long.
The answer is fairly simple. Each week they sing 8 songs, and so in 5 weeks they would sing 8x5 songs (which is 40) in 6 weeks, they would sing 8x6 songs (which is 48) and in 7 weeks 7x8 songs (which is 56)
3x+2y=11
y=5x-1
Substitute the y in the first equation:
3x+2(5x-1)=11
y=5x-1
3x+10x-2=11
y=5x-1
13x=13
y=5x-1
Now substitute the x to find the y:
x=1
y=5-1=4
Answer: The angle of depression is 51.34°.
Step-by-step explanation:
1. You can make the diagram shown in the figure attached. Where 
is the point where the clue is and 
is the point where Tyler is.
2. To calculate the angle of depression, which is identified in the diagram as 
, you can use 
, as following:
3. Then, you obtain the following angle of depression from the clue to the point where Tyler is:
°
