Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
There are many possibilities. An example is
.
Answer:
$35.76
Step-by-step explanation:
12.60
23.10
--------
35.76
I believe the answer is 4
Answer:
v = 8.49 m/s rounded off to 3 significant figures
Step-by-step explanation
Using Energy Conservation
U = Tk + Vp (Sum of kinetic Tk Energy and gravitational potential Vp Energy)
- At height = 3.67 m, the hammer was still or the velocity was negligible; hence, vi = 0 m/s.
- Ui = 0 + mgh
- At ground all potential energy is converted to kinetic; hence, Uf =
mv². - Since total energy of the system remains constant we equate Ui to Uf.
- Ui = Uf
- mgh =
mv² - After cancelling out masses and making v the subject of the formula we get:
v =
=
= 8.49 m/s rounded off to 3 significant figures