Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:

here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:


from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180

10 and 180 can be resolved: 180 divided by 10 = 18

finally, both 20 and 18 are multiples of 2 and can be resolved:

Option (E)
r=3, n=6:


Option (D)
r=4 n=7


Option (C)
r=2 n=x


Option (D)
r=y n=x


Option (E)
Answer:
360
Step-by-step explanation:
Formula
Sides -2 ×180
4-2=2×180=360
Answer:
no, 72 km/hr is equal to 20m per sec
Step-by-step explanation:
20 m = .02 km
.02 km per hour is equal to .02(3600) per hour, which is 72 km per hour
(you have to multiply my 3600 to get seconds into hours)
6)
34, 43, 52, 61, ...
43-34 = 9; 52-43 = 9; 61-52 = 9
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 34
difference: d = 9
so the formula:

7)
10, 6, 2, -2, ...
6-10 = -4; 2-6 = -4; -2-2 = -4
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 10
difference: d = -4
so the formula:

8)
-3, -10, -17, -24, ...
-10-(-3) = -7; -17-(-10) = -7; -24-(-17) = -7
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = -3
difference: d = -7
so the formula:

9)
7, 8.5, 10, 11.5, ...
8.5-7 = 1.5; 10-8.5 = 1.5; 11.5-10 = 1.5
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 7
difference: d = 1.5
so the formula:

10)
30, 22¹/₂, 15, 7¹/₂, ...
22¹/₂-30 = -7¹/₂; 15-22¹/₂ = -7¹/₂; 7¹/₂-15 = -7¹/₂
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 30
difference: d = -7¹/₂
so the formula:

Answer:
- A. f(x) = (x - √2)(x + √3)
Step-by-step explanation:
Leading coefficient is 1, multiplicity is 1, roots are √2 and -√3. It means the function is the product of two binomials.
<u>The function with the roots of a and b is:</u>
<u>Substitute and and b:</u>
- f(x) = (x - √2)(x - (-√3)) ⇒
- f(x) = (x - √2)(x + √3)
Correct choice is A