Answer:
No, I do not agree with the conjecture because 1 is not a prime number.
Step-by-step explanation:
A prime number is one that can be divided by 1 and itself only. Thus it can be expressed in 2 factors only, 1 and the number itself.
Examples are; 2, 3, 5, 13, 19 , 23 etc.
So, 2 = 1 x 2
3 = 1 x 3
23 = 1 x 23
Prime numbers must be expressed as the product of 1 and the number.
The conjecture that every prime number can be expressed as the product of two prime numbers is false. Because 1 is not a prime number, since it has no 2 factors.
Answer:
96 degrees
Step-by-step explanation:
The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.
Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:
x = 144-48
x = 96
1/2=4/8. 3 and 4/8+ 3 and 3/8 is 6 and 7/8.
Total volume is volume of cylinder+volume of cone
Volume of cylinder=pi*r^2*h
V=pi*6^2*14
V=1582.56
Volume of cone=pi*r^2*h/3
V=pi*6^2*6/3
V=226.08
1582.56+226.08=1808.64 or 1808.6 cubic inches
3n+2n= 5n
22+38=60
180-60=60
60=5n
n=12
