We know the following relationship:
The
domain of a function are the
inputs of the function, that is, a function
is a relation that assigns to each element
in the
set A exactly one element in the
set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function
we can write its domain as follows:
1. D<span>
omain of validity for :
</span>
When:
?
when:
where k is an integer either positive or negative. That is:
To match this with the choices above, the answer is:
<span>
"All real numbers except multiples of 
"
</span>
2. which identity is not used in the proof of the identity 
:
This identity can proved as follows:
The identity that is not used is as established in the statement above:
<span>
"1 +cos squared theta over sin squared theta= csc2theta"
Written in mathematical language as follows:
</span>
<span>
</span>
Most likely, polygon <span>ABCD</span> has sides of known lengths.
It is also likely that one of the sides of polygon <span>EFGH</span> (not <span>EH</span>) is also known. For instance, its side <span>EF</span>.
If the above is true, we can find the scaling factor as a ratio between lengths of corresponding sides:
<span>r=<span><span>EF</span><span>AB</span></span></span>
Since this ratio is constant for any two corresponding lengths,
<span>r=<span><span>EH</span><span>AD</span></span></span>
From the last two equations we can derive:
<span>EH=AD⋅<span><span>EF</span><span>AB</span></span></span>
Hope That Helped : ) (Took a minute)
Answer:
The cost is $9.70 per kilogram.
Step-by-step explanation:
This can be solved by a rule of three.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.
Solution:
The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:
1 pound - xkg
2.2 pound - 1 kg
kg
Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?
$4.40 - 0.45kg
$x - 1kg
The cost is $9.70 per kilogram.
Answer:
Step-by-step explanation:
a function with a graph that is a non-vertical straight line, which can be represented by a linear equation in the form of y = mx + b
Answer:
Circumference: 64π
Ratio: 1 : 4
Measure of ∠xoy: π/2
Step-by-step explanation:
We are given an arc length of 16π. Since it's in terms of pi, we use the formula
S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)
We are given S = 16π and r = 32, plug those in and find Ф
16π = 32Ф
16π/32 = Ф
π/2 = Ф
This is the measure of the central angle.
The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4
The formula for circumference is C = 2πr, where r is the radius, so we hace
C = 2π(32) = 64π
