Answer:
The other number is 330
Step-by-step explanation:
The computation of the other number is shown below:
As we know that
HCF × LCM = Product of Two Numbers
So,
30 × 2310 = 210 × other number
Now
The other number is
= (30 × 2310) ÷ 210
= 330
hence, the other number is 330 and the same is to be considered
We simply applied the above formula so that the correct answer could come
F(x) = (-x²+x+20) / (x+4)
-x²+x+20 | x+4
+x²+4x -x+5
\\\\ 5x+20
-5x-20
\\\\\\\\\
f(x) = (x+4)(-x+5) / (x+4)
f(x) = (-x+5)
The graph is a decreasing line, with origin from 5.
To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
Answer:
34º
Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3 If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º