Answer:
A) 16 cm
B) 50.24 cm
Step-by-step explanation:
<u>Part A:</u>
The diameter is double the radius
The radius is half of the diameter
To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.
1) Multiply 8 by 2.
<u>Part B:</u>
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The formula for the circumference of a circle is :
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To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.
1) Multiply pi by 16.
Pi in this case is 3.14
Answer:
cosx(1-sinx) and ±√(1-cosx)/(1+cosx
Step-by-step explanation:
Given
let x/2 =a then
1-cosx/sinx will be
1-cos2a/sin2a
using cos2x=1-2sin^2x
using sin2x= 2cosxsinx
1-1+2sin^2a/2cosasina
2sina/2cosa
sina/cosa
tana
a=x/2
tana=tanx/2
if x/2=a thensinx/(1+cosx) will be
sin2a/1+cos2a
using sin2x=2cosxsinx and cos2x=-1+2cos^2x
2cosasina/1-1+2cos^2a
2sina/2cosa
sina/cosa
tana
as a=x/2
tana=tanx/2
1-cosx/sinx , sinx/(1+cosx) are identities of tan(x/2)
Both cosx(1-sinx) and ±√(1-cosx)/(1+cosx) are not identities of tan(x/2)!
The question gives you the formula to use, but it's printed wrong.
The 'x' is an exponent after the (1 + r).
All you have to do is take the formula, and write the numbers into it
that are also given.
The key thing to spot is that the forest is <u><em>decreasing</em></u>, so the 'r' is <u>negative</u>,
just as if you had money in a savings account and every year the bank took
6% <u>out</u> of it.
So the formula to use is f(x) = P (1 + r) ^x
P = 2000
r = -0.06
f(x) = 2000 (1 - 0.06)^x
= <em>2000 (0.94)^x</em>
The amount left after 12 years is
2000 (0.94)¹² =
2000 (0.476) =<em> 951.8 square kilometers</em>.
Answer:
67
Step-by-step explanation:
90-23=67
may it help you