Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = 
Since radius of the reel = 
= 
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
Answer:
The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.
A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.
The coordinates for the midpoint of

are

.
You can use the midpoint formula (shown below) to solve this problem, by plugging in your two coordinates as

and


Worked out, that would be:
Answer:
Solution : Option A and Option C
Step-by-step explanation:
To find the values of x that are not present in the domain, we can start by making the denominator equal to 0. This would make the fraction undefined, and hence will solve for the value(s) of x that do not belong to the function -
x² - 3x - 10 = 0,
(x + 2)(x - 5) = 0,
x = - 2 and x = 5
Domain {x | x ≠ - 2 ≠ 5 }
Hence our solution(s) are option a and option c