For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.
1 answer:
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The answer is the first option: I, II and III.
The explanation is shown below:
1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:
Where and
are the variables and
is the constant of proportionality.
As you can see, is directly proportional to
and
.
2. Keeping the information above, you have:
I) (
varies jointly with
,
and
.
II) (If
is the constant of proportionality,
varies jointly with
and
).
III) (
varies jointly with
and
.
Answer: 8
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:
Where <em>a</em> is the hypotenuse and <em>b</em> and <em>c</em> are the legs.
The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from , as following:
Therefore, the lenght of the missing side is: 8