we have $70^2 + 61^2 + c^2 = d^2$
or $4900 +3721 + c^2 -= d^2$
or $d^2-c^2 = 8621$
or ($d+c)(d-c) = 8621$
to solve the same you can put 8621 as product of 2 numbers (one case 8621 * 1$ equiate one to d +c and another to d- c and solve for c and d. by choosing all pair of numbers fot erach pair...
yes. 4b – a + 1 = 0 as there is no x term.
you need to divide by x+1 and get the constant term (putting x = -1 shall do also)
this shall give 2 equations and you need to solve and proceed further;
You are right.
the question is easy.
The product of numbers that are in P that are in Q cannot be more than the product of numbers that are in Q.
this is so because the numbers in P that are in Q has to be be subset of numbers in Q.
Now does Q contain at least one element that is not in P...
we have sum of 100 measurements = 2300
sum of 50 additional measurements = 27 * 50 = 1350
total sum = 2300 + 1350 = 2650
so arithmetic mean = $\frac{3650}{150} = \frac{73}{3}$
so B is bigger
for a short cut 25 is mean of 23 and 27
more elements(100) have mean 23 and less (50) elements have...
Width being less than square root of 600 I see that it is less than 25 so I have only one candidate d to check and width 10 so length 60 meets the criteria and hence the answer
Area of $\triangle STV$ = area of $\triangle UVT$
because they are on equal base and same base
now area of $\triangle UVT$ is 3 times area of $\triangle UVX$
as height is same and base is 3 times
so area of $\triangle STV$ = 3 * area of $\triangle UVX$ = $42cm^2$
In future kindly inform what you have tried and where you are stuck so that we can provide steps to proceed
For this put $2^x = y$ and see what you get
My Attempt
After if left the 1st stop $\dfrac{5}{8}$ remained so $\dfrac{3}{8}$ was the number of more persons alighted than boarded
The number is 180
so $\dfrac{3}{8}$ of number of persons when it left the $1^{st}$ stop is 180
so number of persons when it left $1^{st}$ stop...