Answer:
The sum of the first 880 terms in the sequence is 2,273,920.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, called common difference, and the nth term is given by:
In which d is the common difference.
Sum of the first n terms:
The sum of the first n terms of an arithmetic sequence is given by:
ai = ai-1 + 6
This means that 
In this question:
Sum of the first 800 terms, so 
First term is -53, so 
The 880th term is:
Sum
The sum of the first 880 terms in the sequence is 2,273,920.
9514 1404 393
Answer:
range
Step-by-step explanation:
An ordered pair is ...
(element of domain, element of range)
Then the set of all "element of range" is the <em>range</em>.
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<em>Additional comment</em>
To understand math, it is helpful to understand the vocabulary of math. It is difficult to obtain any meaning from a communication when one doesn't know the language.
Answer:
we know that
[the lateral area of a right circular cone]=pi*r*l
where
r--------------> the radius of the circle part of the cone
l--------------> the side (slant height) of the cone
r=6 ft
h=8 ft
Step 1
find the slant height of the cone
which is determined by using Pythagoras, since the cross section is a right triangle.
l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft
Step 2
find the lateral area
[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²
the answer is 188.4 ft²
Answer:
You start the shelf 4 ft. 9 in. from the wall.
Step-by-step explanation:
The game plan is to take the length of the shelf away from the length of the wall, and then divide the remaining part into two equal pieces.
13 ft.
- 3 ft. 6 in.
12 ft 12 in,
- 3ft 6 in
9 ft 6 in.
9 ft. 6 inches divided by 2 equals 4.5 ft, 3 in.
.5 ft * 12 inches = 6 inches
You start the shelf 4 ft. 9 in. from the wall.
Answer: x=5 m is parallel to n
Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
