Answer:
See below
Step-by-step explanation:
By the Triangle Inequality Theorem, if given side lengths 
, 
, and 
, where is the longest side, then 
<u>Problem A</u>
This set of side lengths creates a triangle since 
<u>Problem B</u>
This set of side lengths creates a triangle since 
, which is known as an equilateral triangle since all of its side lengths are equal to each other
<u>Problem C</u>
This set of side lengths creates a triangle since 
He has 16 choices, because 5+3 is 8, times two would be 16
Randy sells, in average, 460 vacuum cleaners per month.
<h3>How many vacuum cleaners does Randy sell each month?.</h3>
First, we know that Janice sells 690 units per year.
There are 12 months in a year, so the amount that she sells, in average, per month is:
J = 690/12 = 57.5
This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:
R = 8*57.5 = 460
This means that Randy sells 460 units per month.
If you want to learn more about products:
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Answer:
The scale model giraffe is 5 inches tall.
Step-by-step explanation:
Since the artist sculpted the figure of the giraffe with a scale of 1 inch = 4 feet, and that the real giraffe that lives in the zoo is about 20 feet, to determine the size of the sculpted giraffe to scale it is necessary to perform the following calculation:
20/4 = X
5 = X
Thus, the scale sculpted giraffe that will be sold in the gift shop measures 5 inches.
