Answer: The answer is 3/8
Step-by-step explanation: For this problem you only need to multiply the fractions. So when you multiply the two fractions you first multiply both numerators so 1 X 3 = 3 then the denominators 4 X 2 = 8. So the fraction is 3 over 8 3/8.
Hope this helps.
Answer:
c = 1.05p
Step-by-step explanation:
the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p
Let illustrate with an example.
The price of a hat was $100, after the 5% increase. the cost of the hat becomes
100 + (0.05 x 100) = 105
To find the percentage increase
divide 105 by 100 and subtract 1
(105/100) - 1 = 1.05
Circumference of a circle - derivation
This page describes how to derive the formula for the circumference of a circle.
Recall that the definition of pi (π) is the circumference c of any circle divided by its diameter d. Put as an equation, pi is defined as
π
=
c
d
Rearranging this to solve for c we get
c
=
π
d
The diameter of a circle is twice its radius, so substituting 2r for d
c
=
2
π
r
If you know the area
Recall that the area of a circle is given by
area
=
π
r
2
Solving this for r
r
2
=
a
π
So
r
=
√
a
π
The circumference c of a circle is
c
=
2
π
r
By replacing you get:
5*7-2*11+3*(-1) = 35-22-3= 10
so the answer is 10.
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