You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.
A = pi x r^2
3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43
The approximate area of the semi circle is 113.43 mm².
If 6 is placed at the right end of AB, so the number is AB6.
the value of the three-digit number formed is 294 more than AB, means that if AB6 - 294 = AB <span>
</span>AB 6
- 2 9 4
AB <span>
</span>6 - 4 = B = 2 <span>
</span>If B = 2, then the tens digit is 2 - 9 (which can't be) so 12 - 9 = 3 = A <span>
</span>A = 3, and B = 2 <span>
</span><span>check: 326 - 294 = 32</span>
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Answer:
75%
Step-by-step explanation:
You need to find the total number of votes first. Just add 13 and 39 which would equal 52.
Then divide the number of people in favour by the total number of voters and multiply by a 100 to find the percentage.
39 + 13 = 52
39/52 = 0.75
0.75 x 100 = 75.0
75%
Answer: 24-(8/2)+6=26
3+6X2/3=7
4X4+3=19
Step-by-step explanation: