I think it’s 72/5 there’s the proof I hope im was helpful
Answer:
The answer is a
Step-by-step explanation:
7 people so first one shakes hand with the remaining people. that is 6
The 2nd person also shakes hand with 6 persons but we have already counted his handshake with first person. so we have to add 6-1 = 5 shakes for 2nd person
like wise 3rd person shakes hand with the remaining 6-2 = 4 people
4th person with 6-3=3 people
5th person with 6-4= 2 persons
6th person with 6-5=1 person
and 7th one with no one because already he has shaken his hand with everyone.
since these people shake their hands with others only once we just have to add the obtained values
6+5 +4+3+2+1= 21
totally 21 handshakes will be there in that room
No, it will not be able to make a right triangle.
<em><u>Solution:</u></em>
Given that,
Joel wants to fence off a triangular portion of his yard for his chickens.
The length of three peices of fencing are 8 feet , 15 feet and 20 feet
For making it a right triangle it must satisfy the "Pythagorus theorem"
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
For a right angled triangle with sides a, b, c
Given sides are:
a = 8 feet
b = 15 feet
c = 20 feet
Substituting the values in above formula
Since the pythogoras formula is not satisfied, the given sides cannot form a right angled triangle
Thus , No, it will not be able to make a right triangle.
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
