Answer:
12 meters
Step-by-step explanation:
Looking at the problem we can see that it typifies a right angled triangle. The rope running from the top of the flagpole to the hook on the ground is the hypotenuse of the triangle. Let us call this hypotenuse c. Let the distance between the hook and the foot of the flagpole be b. Let the height of the flagpole be a.
From Pythagoras theorem;
c^2 = a^2 + b^2
a^2= c^2 - b^2
a= √c^2-b^2
From the question
c= 13 metres
b= 5 metres
a= the unknown
a= √c^2-b^2
a= √(13)^2 - (5)^2
a= √169 - 25
a= √144
a= 12 meters
Answer:
Step-by-step explanation:
This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):
and I imagine your teacher has you simplify completely. We FOIL and distribute to get
which, by combining like terms, give us

Answer:
aₙ = a₁ + (n-1)d
where:
aₙ = nth term
a₁ = first term
d = common difference
The sequence 8,9,10,-10 is not an arithmetic sequence.
Step-by-step explanation:
95
Step-by-step explanation:
she would have to get At Least 95 or better to balance it out