Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
Have a wonderful day! :D
Answer:
1.8 in.
Step-by-step explanation:
Hi there!
<u>1) Determine the radius of the base</u>
where r is the radius of the base and h is the height of the cone
Plug in the known values (h=4.2, V=3.6)

Isolate r; divide both sides by 4.2

Multiply both sides by 3

Divide both sides by π

Take the square root of both sides

<u>2) Determine the diameter</u>
Now that we have the radius, to find the diameter, multiply r by 2:

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.
I hope this helps!
Answer:
h = 6 cm
Step-by-step explanation:
Given that,
The area of a trapezoid, A = 66 cm²
The sum of the lengths of the two bases of a trapezoid is 22 cm.
We need to find the height of the trapezoid.
The area of a trapezium is given by :

Substitute the values,

So, the height of the trapezoid 6 cm.