Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A =
( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s²
= 324
( divide both sides by
)
s² = 324 ( take the square root of both sides )
s =
= 18
Thus
perimeter = 3 × 18 = 54 cm
B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.
Now, notice that

That is, we can write the sum more compactly as

The series is geometric with common ratio

, so the series converges (and thereby has a sum), so the answer is D.
Answer:
102
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
just use a calculator
Answer:
<u>Third Option</u>: 
Step-by-step explanation:
Given the points on the graph, (4, 5) and (-4, -5):
In order to determine the equation of the given graph in slope-intercept form, y = mx + b:
Use the given points to solve for the slope:
Let (x₁, y₁) = (-4, -5)
(x₂, y₂) = (4, 5)
m = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of the line is:
.
Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:
y = mx + b
5 =
+ b
5 = 5 + b
5 - 5 = 5 - 5 + b
0 = b
Therefore, the linear equation in slope-intercept form is:
. The correct answer is Option 3.