b
Take a look at everything inside the brackets sqrt(50x^2) = sqrt(5*5*x*x * 2) For ever 2 factors you can bring one out and drop the other one. That means take out 5 * x * sqrt(2). Two is what is left inside the brackets. B must = 2.
c
Do the same thing here. Write all the primes under the square root. Take out 1 for every two under the root sign. sqrt(32x) = sqrt(2*2*2*2*2*x) You can bring out two 2s. There is one left over. Leave it under the root sign. The x is a loner. It stays under the root sign. c = 2 * 2 = 4.
e
Again do the prime factor thing. sqrt(18n) = sqrt(3*3*2*n) = 3*sqrt(2*n)
e = 3
g
sqrt(72*x*x) = sqrt(3 * 3* 2 * 2 * 2 * x * x) = 3 *2 * x* sqrt(2) For every 2 prime factors you can pull out 1 of them outside the square root sign. g = 6
Comment
There are many people on the net and on Brainly that will say that you should know the perfect squares from 1 to 100 (say) so 4 9 16 25 36 49 64 81 100 are the numbers that you should memorize. When they are under the root sign, their roots can be taken out as 2 3 4 5 6 7 8 9 10. For this question I think it is better to use the pairs rule I've given you above. If someone else answers they are likely to do it the way it is written up in this paragraph. It's a free country. You are free to take the answer you like best.
the answer is -8, the 9 is negative and -9+1= -8
Answer:
213
Step-by-step explanation:
The circumference of the wheel is given by
C=2πr=πd
Where d is diameter, r is radius and c is circumference
The number of revolutions N multiplied by circumference should yield the total distance
N*πd= Distance
Given distance of 20, 000 cm and diameter of 30 cm
30πN=20000
Making N the subject of formula
N=20000/(30π)=212.20659078919378102517835116335248271261
Rounded off, about 213 revolutions are required
Answer:
15/19
Step-by-step explanation:
60/4 = 15
76/4 = 19
15/19
10 is an integer
10 divided by 5 is 2
so 10 is answer