since the triangles are similar
angle DEC = 60 degrees
3 angles inside a triangle equal 180 degrees
BAC = DCE = 64
CBA = EDC = 56
DEC = 180 -56 -64 = 60 degrees
used angle-angle theorem
Answer:
765 J
Step-by-step explanation:
We are given;
Mass of bucket = 30 kg
Mass of rope = 0.3 kg/m
height of building= 30 meter
Now,
work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand
Or W = W1 + W2
Work done in lifting the rope is given as,
W1 = Force x displacement
W1 = (30,0)∫(0.2x .dx)
Integrating, we have;
W1 = [0.2x²/2] at boundary of 30 and 0
W1 = 0.1(30²)
W1 = 90 J
work done in lifting the sand is given as;
W2 = (30,0)∫(F .dx)
F = mx + c
Where, c = 30 - 15 = 15
m = (30 - 15)/(30 - 0)
m = 15/30 = 0.5
So,
F = 0.5x + 15
Thus,
W2 = (30,0)∫(0.5x + 15 .dx)
Integrating, we have;
W2 = (0.5x²/2) + 15x at boundary of 30 and 0
So,
W2 = (0.5 × 30²)/2) + 15(30)
W2 = 225 + 450
W2 = 675 J
Therefore,
work done lifting the bucket (sand and rope) to the top of the building,
W = 90 + 675
W = 765 J
Answer:
25 Students attended and 50 teachers and their family members attended
Step-by-step explanation:
50x30=1500
25x12=300
1500+300=1800
Hope this helped :)
Answer:
Option 2) y = 26
Step-by-step explanation:
We are given the following in the question:
The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.
Thus, the dependent variable is the number of hot dogs.
The independent variable is the number of teammates.
Thus, the linear relation between the dependent and the independent variable is given as:
We have to find the value of dependent variable when independent variable is 10
For x = 10
Thus, the correct answer is
Option 2) y = 26
Triangle ABC because the other ones are different from each other and there is only one of them.
