11, 16, 21, ... Find the 44th term. PLZ HELP
2 answers:
Answer:
a₄₄ = 226
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 16 - 11 = 21 - 16 = 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = 5 , then
a₄₄ = 11 + (43 × 5) = 11 + 215 = 226
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Answer:
3.897
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
Answer:
A. y = 80x
B. g(x) = 80x
C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Step-by-step explanation:
Part A:
To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.
x and y remain the same in the equation.
To find m, use the slope formula with (5,465) and (7, 625).
It costs $80 a day.
The equation is y = 80x.
Part B:
Function notation replaces Y as g(x). So the equation is g(x) = 80x.
Part C:
To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.