Answer:

Step-by-step explanation:
we know that
In a parallelogram opposite sides are congruent
In this problem
we have that
AB and DC are opposite sides
AD and BC are opposite sides
so
AB=DC
AD=BC
step 1
Find the value of x
AB=DC
substitute the given values

solve for x



step 2
Find the length of AD
we have that

substitute the value of x

step 3
Find the length of BC
Remember that
AD=BC ----> by opposite sides
therefore

Answer:
6144π ft³ ; 19292.2 ft³
Step-by-step explanation:
The volume of the cylinder Given above :
Volume of cylinder, V = πr²h
r =Radius = 16 ; h = 24 ft
V = π * 16² * 24
V = 256 * 24 * π
V = 6144π
Using π = 3.14
V = 6144 * 3.14 = 19292.16
Out of 120 students in exam, 2/3 of them passed. How many students passed?
now,
no of students passed = 2/3×120
= 0.66×120
=80...
therefore <em>8</em><em>0</em><em> </em><em> </em><em>students</em><em> </em><em>were</em><em> </em><em>passed</em><em>.</em><em>.</em><em>.</em><em>.</em>
<h3>
Answer: 9.4 feet</h3>
Work Shown:
sin(angle) = opposite/hypotenuse
sin(22) = x/25
x = 25*sin(22)
x = 9.3651648353978
x = 9.4
Your calculator needs to be in degree mode. One way to check is to compute sin(30) and you should get 0.5 or 1/2.