Answer:
- diagram is below
- 6, 11, 16, 21
- s[n] = s[n-1] +5
- 26, 31, 36
Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Answer:
The height of building to the nearest foot is h = 36 foot
Step-by-step explanation:
We have given,
Length of ladder leaning against a building, l = 45 foot
Bottom length between ladder and the building , b = 27
Now, we need to find the height of building to the nearest foot.
Let the height of building be h.
Using Pythagoras theorem,

Here, l = 45 , b = 27 and h =?
So,

h² = 45² - 27²
h = √(45² - 27²)
h = 36
The height of building to the nearest foot is h = 36 foot
Answer:
y =293(1.06) ^x
y = 370 after 4 years
Step-by-step explanation:
If we are using the model for growth
y = a ( 1+b)^x
a is the initial population
b is the increase rate
We can substitute the values into the equation
y =293 (1+.06) ^ x
y =293(1.06) ^x
Let x equal 4 for the 4 years
y = 293(1.06)^4
y=369.9
Quotients can sometimes be irrational so it is necessary to estimate them, products on the other hand are only rational, provided they aren't multiplied by an irrational, so it is not necessary to estimate