Answer:
First: 12 feet
Second: 11 feet
Third: 14 feet
Step-by-step explanation:
Let the second side of the traingle be x
First side of the triangle= x+1
Third side of the triangle= x+3
x+x+1+x+3 = 37
3x+4 = 37
3x = 37-4
3x = 33
x = 11
First side of the triangle= (11)+1
= 12
Second side of the triangle= 11
Third side of the triangle= (11)+3
= 14
Simplify the ratio 8 to 2 to be 4 to 1
Now compare 4 to 1 and 10 to 1
4 is smaller than 10 so the ratio 8 to 2 is smaller.
All good. Fill in t with 10 and solve for the expression g(t). 10 = t so it fill in
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
Just comparing your (x, y) points to the values on the table, it looks like b) would be the quick answer. Since it states under the table to use average values within each range.
So for x=62 (the weight), we have y=122 (the iron count) which would be the average of the range between 115 and 129.
Similiarly, x=70 corresponds to y=146, which is the average of 139 and 153.
You could take the average values of your highest and lowest iron count ranges compare them to the max-min weight to get your slope. Looks like it would be (155-112)/(73-58)= 43/15= 2.8666 repeating. That would make sense with the slope in the equation listed in b) as well.
<span>
</span>