Answer: option D is the correct answer.
Step-by-step explanation:
The given sequence is a geometric sequence because the consecutive terms differ by a common ratio.
The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a1 represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a1 = 36
r = 12/36 = 4/12 = 1/3
Therefore, the formula for the nth term of the sequence is
an = 36 × 1/3^(n - 1)
an = 36 × 3^-1(n - 1)
an = 36 × 3^(-n + 1)
an = 36 × 3^(1 - n)
Answer:
£27.00
Step-by-step explanation:
3 × £9 = £27 amount Lee gets
Answer:option A is the correct answer.
Step-by-step explanation:
The given triangle UVW is a right angle triangle. This is because one of its angles is 90 degrees. The sum of the two other angles is 180. To determine Cos U, we will apply trigonometric ratio.
Cos U = adjacent side/ hypotenuse.
Looking at the triangle with C as the reference angle,
Adjacent side = 12
Hypotenuse( always the longest side of the triangle) = 13
Therefore,
Cos U = 12/13
Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:

Thus,

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.


Therefore when given the hypotenuse with endpoints at

We know that the third point of the right triangle will be at

and that the two side lengths will be defined by the absolute values of:


Answer:
Hey there!
If 1007 people attend, they will make a profit of 10070 dollars.
The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.
Let me know if this helps :)