Write an expression to represent the number of pencils Cindy has.
1 answer:
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Answer:
Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if . Recall that given two vectors a,b a⊥ b if and only if
where
is the dot product defined in
. Suposse that
. We want to find γ such that
. Given that the dot product can be distributed and that it is linear, the following equation is obtained
Recall that are both real numbers, so by solving the value of γ, we get that
By construction, this γ is unique if , since if there was a
such that
, then
Answer:
The diameter of the pond is 38 m.
The radius of the pond is 19 m.
The area of the pond is 361 m^2.
Step-by-step explanation:
We know that the circumference C of a circle is equal to
In this case, C is equal to 120 m.
The diameter is then:
Rounded to the nearest whole number, the diameter is D=38 metres.
The radius is equal to half the diameter, so the radius of this pond is R=19 metres.
The area can be calculated from the radius as:
The area is 361 m^2