Answer:
Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be 
of the circle's length (circumference).
The circumference of a circle is given by 
, where 
is the radius of the circle. Therefore, the circumference of the circle is 
. As we found earlier, the length of the arc is 
of this circumference. Therefore, the arc's length is 
.
To the nearest integer, this is 
.
Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in 
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
Answer:
11/20
Step-by-step explanation:
Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.
C is the correct answer because that's the only answer where all the numbers (i.e. 3, -1, 2) all, when plugged into the function, equal 0. For example:
3³ - (4 × 3²) + 3 + 6 = 0
-1³ - (4 × (-1)²) + (-1) + 6 = 0
2³ - (4 × 2²) + 2 + 6 = 0
As we see, everything adds up to 0. So, C is the correct answer.
The GCF of 33c and 55cd is
33c/11c = 3
55cd/11c = 5d
the greatest common factor is 11c
hope this helps
