<h3>The surface area of cube is 162.24 square inches</h3>
<em><u>Solution:</u></em>
<em><u>The surface area of cube is given as:</u></em>
Where,
"s" is the length of each side of cube
From given,
s = 5.2 inches
Therefore,
Thus the surface area of cube is 162.24 square inches
(88+96+98+90+x)/5=94
Add all the numbers
(372+x)/5=94
Multiply both sides by 5
372+x=470
Subtract 372 from both sides
x=98
Double check:
88+96+98+90+98=470/5=94
Hope that helps
Soh Cah Toa
Sine of the angle = opposite side over the hypotenuse
sin(42°) = 6.5/h
rearrange, solve for h
h = 6.5/sin(42°)
h = 9.7 cm
For the other triangle, the angle is unknown. I'd split it into two right triangles; down angle x since it is an isosceles it will be bisected into two equivalent triangles.
The hypotenuse we just found is now split in half. 9.7/2 = 4.9 base of the new smaller right triangle.
The new hypotenuse of the smaller triangle is 7.4 cm
Then you have..
sin(x/2) = 4.9/7.4
sin(x/2) = 0.67
use inverse sine function
arcSin(0.67) = x/2
41 = x/2
82° = x
There are many ways to solve this problem. This is just what I thought of first using trig.
Answer:
yes, it is arithmetic as the common difference is -8
