Answer:
1134.62 (THE SUM OF 20 TERMS)
Step-by-step explanation:
First we write out our given information:
a8=2a2
a11=18
an is an arithmetic sequence.
Where here an means the nth term of our sequence.
What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:
an+1=an+c
Equivalently:
an+1−an(n+1)−n=c
So an is of slope c (c2 is another constant):
an=cn+c2
Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)
Now we use the other given information to try to come up with a solution.
Let n=2:
a2=2c+c2
Let n=8, using the above equation we have:
a8=8c+c2=2a2=4c+2c2
Let n=11
a11=18
a11=11c+c2
But a11−a8=(11c+c2)−(8c+c2)=3c
Hence, a11=3c+a8
a11=3c+4c+2c2=18
a11=3c+8c+c2=18
Answer:
x = 5
Step-by-step explanation:
The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:
top segment/bottom segment = x/(x+5) = (x-2)/(x+1)
Multiply by the product of denominators:
(x +1)x = (x +5)(x -2)
x² +x = x² +3x -10 . . . . . eliminate parentheses
10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation
5 = x . . . . . divide by 2
The length of one side of the octagon is given by:
Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
Answer:
The answer to your question is Dependent Variable.
In a linear regression model, the variable that is being predicted or explained is known as Dependent Variable . It is denoted by y and is often referred to as the response variable
Step-by-step explanation:
I don't really know how to explain sorry.
Brainliest pls! :)
