The base of a cone is a circle.
The area of a circle is
.
Thus, the area of the base of a cone
.
The derivation of the formula for the area of a circle involves a bit of calculus, but if you'd like, I can walk you through it.
Answer:
C. $128
Step-by-step explanation:
320 x 0.5 = 160
320 - 160 = 160
160 x 0.20 = 32
160 - 32 = 128
Answer:
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Step-by-step explanation:
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Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
3x-5=19-x
3x-5-19+x=0
4x-24=0
4x=24
x=6
