Answer:
Arts=295, Commerce=177
Step-by-step explanation:
That the three subjects have a common ratio implies that there is some common factor between them that relates to the actual number of students in each area, so 5:4:3 means 5x:4x:3x for some value of x
We know that there are 236 science students, so 4x = 236 or x = 59
so the number of arts students is 5(59) and the number of commerce students is 3(59)
Arts = 5*59 = 295
Commerce = 3*59=177
X/21 = y/33
xy = 21·33 = 693
The factors of 693 are 1,3,7,9,11,21,33,63,77,99,231,693.
(x,y) = (1,693), (693,1), (3,231), (231,3), (7,99), (99,7), (9,77), (77,9), (11,63), (63,11), (21,33), (33,21)
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
There is no relation between the size of a lake and the number of fish in the lake.
3/4=15
let,
total mass is x
x=4×15/3
=20 kg
so, total mass = 20 kg
=2×20/5
=2×4
=8 kg
Hope this helps!