Step-by-step explanation:
the total surface area is the sum of the 5 individual areas in the surface :
2 triangle sides (left and right).
1 back rectangle side
1 rectangle floor
1 inclined rectangle front side
to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90° angle).
c² = 3² + 4² = 9 + 16 = 25
c = 5
so, now, we have everything we need.
the area of a triangle side (since it is right-angled) :
4×3/2 = 6
2 sides, that makes 12
the area of the back side
6×3 = 18
the area of the floor
6×4 = 24
the area of the inclined front side
6×5 = 30
so, the total surface area is
12+18+24+30 = 84
Your question has been heard loud and clear.
If y = 3 , then 6y = 6(3) = 18
Thank you
I take it that the actual total is 538. If it really is 538538 leave me a note.
Let the first number = x
Let the second # = 44x
Let the third # = 100x
Equation
x + 44x + 100x = 538 Add the left side. All terms are part of the total.
145x = 538 Div By 145
x = 538/145
x = 3.71
Check
First number = 3.71
Second # = 44*3.71 = 163.24
Third number = 100*3.71 = 371
Total these 3 numbers 537.95 The very tiny difference is due to rounding.
E=0.5mv^2
That's the formula for kenetic energy. The only unknown we don't have is the velocity. In perticular the final velocity. To find this final velocity we need to use kinematic equations. Since we have the time and I'm also assuming that the initial velocity was zero we're going to use Vf=Vi+at. The acceleration is 9.8m/s^2 because its free fall and we have the time 22s. Vf= 9.8*22=215.6m/s
Now that we have the final velocity plug it in to the kenetic energy formula.
=0.5*3*215.6^2= 69725.04J
