Answer:
Step-by-step explanation:
1 2/3 (5 2/7)
Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:

We know that the circumference of the Earth is

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

And substituting the values, we find:

So, the runners have gone 20.8 times around the globe all together.
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
__
Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Answer:
2x
Step-by-step explanation:
Answer:
Step-by-step explanation:
A(3, - 2), B(1, 5), C(1, - 2)
ΔABC is right angled Δ
AC and BC are legs (cathetus)
= (AC)(BC) ÷ 2 =
= 7 units²