Step-by-step explanation:
5(tanx)^2 -2 +tanx=0
let tanx=y
5y^2 + y-2=0
y=0.5403 or y= -0.7403
tanx=0.5403
x=arctan(0.5403)
x=28.38°
or
tanx=-0.7403
x=arctan(-0.7403)
x=143.49°
<h3>Given:</h3><h3>Large cone:</h3>
<h3>Small cone:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
- The volume of the frustum of the given cone.
<h3>Solution:</h3>
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.

Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.


Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.

Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.


Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.

Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.


<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>
Answer:
c) HH E)AA
Step-by-step explanation:
Two right angles can be proved congruent by LA,LL,HA,HL properties.
HH and AA are not congruence property.
Two triangles can be proved similar by AA property. All congruent triangles are similar but all similar triangles are not similar.Hence right triangles can not be proved congruent by AA property.
Among the options given Option C and E are not congruence property.
Step-by-step explanation:
open brackets and work out