An arc of length 10 meters is formed by a central angle a on a circle of radius 4. the measure of a in degrees (to two decimal places) is a. 143.24 b. 2.50 c. 216.76 d. 36.76

A) 143.24

Step-by-step explanation:

Here we have to use arc length of a circle formula.

Arc length =

From this formula, we can drive central angle.

Central angle = (Arc length *360)/2πr

Given: Arc length = 10; r =4 and π = 3.14159

Plug in the given values in the above formula, we get

Central angle =

= 3600/25.13

Central angle = 143.24

Therefore, answer A) 143.24

what is the original number? you forgot to add it.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for