Answer:

Step-by-step explanation:
<u>Finding the missing side</u> :
⇒ Take the tan value of the listed angle
⇒ tan 60° = √3 = 6/x
⇒ x = 6/√3 × √3/√3 = 2√3 = 2(1.73) = 3.46
<u>Solving</u> :
⇒ Perimeter = 10 + 2(6 + 3.46)
⇒ Perimeter = 10 + 2(9.46)
⇒ Perimeter = 19 + 18.92
⇒ Perimeter = 37.92
Answer:
See below.
Step-by-step explanation:
Limit of f(x) as x ---> 2- (that is 2 from the left) = 4.
Limit of f(x) as x ---> 2+ (that is 2 from the right) = -4.
Answer:
Absolutely convergent
0.82
Step-by-step explanation:
Use the alternating series test.
lim(n→∞) (1/√n) = 0
1/√n > 1/√(n+1) for n > 0
It is absolutely convergent.
Use error estimation.
1/(n+1)² < 0.01
(n+1)² > 100
n+1 > 10
n > 9
n = 10
Sum the first 10 terms.
∑₁¹⁰ (-1)ⁿ⁻¹/n²
= 1/1² − 1/2² + 1/3² − 1/4² + 1/5² − 1/6² + 1/7² − 1/8² + 1/9² − 1/10²
≈ 0.82
Answer:
$0.5
Step-by-step explanation:
We have been given an equation
, where R is rental charges and d is number of days Andrea rents the bike. We are asked to find the unit rate.
We know that unit rate represents the ratio between two different quantities. Unit rate represents how many units of one quantity are equal to one unit of another quantity.
Let us divide both sides of given equation by d:

Therefore, the unit rate for our given problem would be $0.5, which represents rental charges per day.