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hemant
Questions (21)
a gardner having 150 meters of fencing materials wishes to enclose a rectangular plot of land and also erect a fence across the
2 answers
1,406 views
x and y are positive real numbers that satisfy logxy+logyx=174 and xy=2883√. If x+y=a+bc√, where a, b and c are positive
3 answers
814 views
Triangle ABC has area [ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Q and R are defined such
3 answers
700 views
Let ABCD be a rectangle such that AB=5 and BC=12. There exist two distinct points X1 and X2 on BC such that
0 answers
402 views
ABCD is a parallelogram. E is a point on DC extended, such that D and E are on opposite sides of BC. Let AE intersect BC and BD
0 answers
437 views
ABCD is a rectangle with AB=50 and BC=120. E is a point on CD (possibly extended) such that AE=EC. What is the length of DE?
3 answers
535 views
Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such
0 answers
513 views
Let ABCD be a rectangle such that AB=5 and BC=12. There exist two distinct points X1 and X2 on BC such that
0 answers
410 views
a, b, c, A and C are real numbers that satisfy the equation
(ax2+bx+c)2=Ax4+16x3+28x2+24x+C How many possible ordered triples of
0 answers
523 views
x and y are positive real numbers that satisfy logxy+logyx=174 and xy=2883√. If x+y=a+bc√, where a, b and c are positive
0 answers
494 views
You're quietly sitting by a street one day, enjoying the sun, when you notice a speeding car traveling at 20 m/s down the
1 answer
544 views
Two point charges +q=1 μC and −q=−1 μC with mass m=1 g are fixed at the positions ±r⃗ 0 with |r0|=1 m. The charges are
2 answers
517 views
the total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person get at
2 answers
394 views
The magnitude of an earthquake with intensity I is measured using a seismograph. The intensity I is converted into the Richter
1 answer
740 views
ABCD is a rectangle with AB=26, BC=11. X, Y and Z are points on AB, BC and CD, respectively, such that AX=BY=CZ=6. What is the
0 answers
371 views
The squares of a 3×3 board are randomly coloured black or white. Let W be the number of white squares and B the number of black
0 answers
660 views
Let AB be the diameter of circle Γ1. In the interior of Γ1, there are circles Γ2 and Γ3 that are tangent to Γ1 at A and B,
0 answers
504 views
The product of the digits of a positive two-digit number exceeds the sum of the digits by 39. If the order of the digits is
0 answers
583 views
For all positive integers n, let f3(n) be the representation of n in base 3, considered as a number in base 10. For example,
2 answers
466 views
Given a positive integer n, let S(n) denote the digit sum of n. Consider the sequence of numbers given by
n₁ = S(n) nk =
0 answers
473 views
A video rental store offers 436 different movies for rent. The movies are categorized as Comedies, Action Movies, and Dramas. A
1 answer
536 views
Answers (15)
Let the base angle = x Thus, the vertical angle = 2x Now, sum of all the angle = 180 or, x + x + 2x = 180 or, 4x = 180 or, x = 45 Thus, angles of the triangle are 45 , 45 , 90
90
log y base x + log x base y =17/4 sorry for the typo.
logxy + logyx = 17/4
thanks
thanks
answer is 89
but 1.68 is wrong answer
please write right answer
998
14
thanks very much but how it can be solved
right answer is 7
its wrong
27.872799
