Answer:
least to greatest: {61, 61, 61, 178, 179}
Step-by-step explanation:
If the third-largest angle is 61°, the smallest three angles cannot be larger than 183°. Since the total of all angles must be 540°, and the total of the largest two cannot be greater than 179°×2 = 358°, the sum of the smallest three must be at least 540° -358° = 182°.
So, the possible sets of angles with the smallest 3 totaling 182° or 183° are (in degrees) ...
{60, 61, 61, 179, 179} . . . . two modes
(61, 61, 61, 178, 179} . . . . . one mode -- the set you're looking for
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
Answer:
To solve this problem, we can use a system of equations.
We know the quadratic expression has the form
Using points (1,12) and (4,0), we can form the following system to find a and b.
We need to divide the second equation by -4 and sum both equations
Then, we use this value to find the other variable
<h3>Therefore, the quadratic function that models the situation is</h3>
or 
According to this expression, after 2 seconds, the height is 16 feet.
11,220,000,000 is the answer for this question.
the formula for the Pythagorean theorem is a squared plus b squared is equals to c squared we don't have our a so it will be 8 * 8 =64which is 64 is equals to 10 * 10 which is 100 - 64 is equals to 36 then you square root do square roots the 36 which is 6
