the answer is 4
just think of -4 as 4 in this question it is looking for the one closer and now that both of them are counting numbers 4 is less
Here three sides of a right angled triangle given.
The three sides are b, 8 and 14.
The side with length 14 is the hypotenuse here. We have to find the side of length b.
To get b, we will use Pythagoras theorem here.
By using Pythagoras theorem we can write,
, where c is the hypotenuse.
So here we can write,



To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.



Now to find b, we have to take square root to both sides. We will get,





We have got the required answer for the side b.
Answer:
You will need to calculate the area of the circle on top of the pillar. Then, times it by ten. It then will be the whole volume of the pillar. Then, you compare to see if the pillars have the same volume.
Answer:
3 patients had all the three complaints
Step-by-step explanation:
Let U be the set of patients who reported at the hospital on that day
Let F be the set of patients who complained of fever
Let S be the set of patients who had stomach troubles
Let I be the set of injured patients
Then the given data can be written as:
- n(U) = n(F∪S∪I) = 100
- n(F) = 70
- n(S) = 50
- n(I) = 30
- n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44
n(F∩S∩I) = ?
Using the formula for the cardinal number of union of three sets:
n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)
100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)
100 = 150 - 44 - 2×n(F∩S∩I)
2×n(F∩S∩I) = 106 - 100 = 6
<u>n(F∩S∩I) = 3</u>