Answer:
The correct answer is third option
1/√3
Step-by-step explanation:
From the figure we can see a right angled triangle ABC.
Right angled at C.
AB = 10
AC = 5
BC = 5√3
<u>Points to remember</u>
Tan θ = Opposite side/Adjacent side
<u>To find the value of tan(B)</u>
Tan B = Opposite side/Adjacent side
= AC/BC
= 5/5√3
= 1/√3
Therefore the value of tan(B) = 1/√3
Answer: 
Step-by-step explanation:
The surface area of a rectangular prism can be calculated with the following formula:

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.
In this case you can say that the length, the width and the heigth of this rectangular prism, are the following:

Knowing these values, you can substitute them into the formula shown before:

Finally, you must evaluate in order to calculate the surface area of the rectangular prism.
You get that this is:

Answer:
x = 25
<B = 120 degrees
<C = 30 degrees
Step-by-step explanation:
Total angle measure of a triangle - 180 degrees
Add all the angles together to find the value of x
30 + 4x + 20 + x + 5 = 180
55 + 5x = 180
55 - 55 + 5x = 180 - 55
5x = 125

x = 25
<B = 4(25) + 20
<B = 100 + 20
<B = 120
<C = 25 + 5
<C = 30
x = 50
Step-by-step explanation:
the two angles at the bottom would he the same. Since the interior angles of a triangle must add up to 180 the you just subtract that from 180. 180-(65+65)=50