Step-by-step explanation:
Area = pi × r²
144 pi cm² = pi × r²
144 pi ÷ pi = r 2
root 144 = r
12 cm = r
diameter = 2r = 2(12) = 24 cm
Answer:
The probability of getting two heads and a four is 1/24
Step-by-step explanation:
The probability of getting a head upon a single toss of a coin, assuming the coin is fair is 1/2.
The probability of getting two heads upon tossing two coins together will simply be the product of the individual probabilities;
P (HH) = 1/2 * 1/2 = 1/4
On the other hand, the probability of getting a four upon rolling a six sided number cube is;
1/6
This is because the number 4 occurs only once in a total possible of 6 numbers.
Therefore, the probability of getting two heads and a four;
P (HH4) = 1/2 * 1/2 * 1/6 = 1/24 since the three events are independent.
Correct question is;
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
Answer:
Total time = 24 hours
Step-by-step explanation:
We are given;
Speed of a boat in standing water = 9 kmph
Speed of the stream = 1.5 kmph
Distance rowed by the man; d = 105 km
He now came back to his starting point.
Thus, we can say that;
Speed upstream; V_up = 9 - 1.5 = 7.5 kmph
Speed downstream; V_down = 9 + 1.5 = 10.5 kmph
Now, we know that;
time = distance/speed
Thus;
Total time = time taken upstream + time taken downstrem
Total time = (105/7.5) + (105/10.5)
Total time = 14 + 10
Total time = 24 hours
Step-by-step explanation:

Now for another

Hope it will help :)❤
Answer:
n = 11
Step-by-step explanation:
The side length of a triangle are n,n-3 and 2(n-2).
The perimeter of the triangle, P = 37 units
We need to find the value of n.
Perimeter = sum of all sides
n+n-3 +2(n-2) = 37
2n-3+2n-4 = 37
4n -7 = 37
4n = 37+7
4n = 44
n = 11
So, the value of n is 11.