Step-by-step explanation:
You must exclude any intersecting faces (faces that are shared), because these faces are not on the surface.
For example, an ice cream cone can be approximated as a composite figure of a hemisphere on top of a cone. The circular base of the hemisphere and the circular base of the cone are intersecting, so you must exclude it when finding the surface area.
We need to find Ο for : sin(Ο)= cos(6)
We know that:
cos θ =sin (90 - θ), so if we call θ = 6 then O will be:
O = 90 - θ
O = 90 - 6
<h2>
O = 84</h2>
Answer:
1/4
Step-by-step explanation:
Skateboards : wheels
12 : 48
Divide each part by 12
12/12 : 48/12
1 :4
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Answer:
A) 2C
Step-by-step explanation:
The relevant rule of logarithms is ...
log(x²) = 2·log(x)
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We know that 64 = 8². So, ...
log(64) = log(8²) = 2·log(8)
We are given that log(8) = C, so 2·log(8) = 2C
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Here, all logarithms are to the base 9. That does not change the relations shown.
