Analyzing a Function The population of bobcats in northern Arizona since 2008 can be modeled using the function b(t) = –0.32t2 +
2 answers:
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In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.
A figure has been drawn to define the vertices and intersections.
The given lengths are also noted.
From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.
Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.
From triangle A F G, we use Pythagoras theorem to find
h1=A F=sqrt(20*20-12*12)=sqrt(256)=16
From triangle DFG, we use Pythagoras theorem to find
h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5
So the length of the other diagonal equals 16+5=21 cm
Answer:
The number of outfits she purchase with the left money = 3
Step-by-step explanation:
The exact question is as follows :
Given - Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $383.32. She buys 4 bicycle reflectors for $9.09 each and a pair of bike gloves for $21.07. She plans to spend some or all of the money she has left to buy new biking outfits for $39.75 each.
To find - Write and solve an inequality which can be used to determine x where x, the number of outfits Nevaeh can purchase while staying within her budget.
Proof -
Given that,
Total money Nevaeh have = $ 560
She spent money on bicycle = $ 383.32
She spend money on 1 reflector = $ 9.09
As she buy 4 bicycle reflector, So
Total money spent on bicycle reflector = $ 4×9.09 = $ 36.36
She spend money on a pair of bike gloves = $ 21.07
So,
Total money she spend on the items = $ 383.32 + 36.36 + 21.07
= $ 440.75
⇒Total money she spend on the items = $ 440.75
So,
Total money Left = $ 560 - $ 440.75 = $ 119.25
Now,
She plans to spend some or all of the money she has left to buy new biking outfits for $ 39.75 each.
Let us assume ,
The number of outfits she purchase with the left money = x
AS,
each outfit cost = $ 39.75
So, x outfits cost = $ 39.75 x
Now,
$ 39.75 x = $ 119.25 (because total money left = $ 119.25)
⇒ x = = 3
∴ we get
The number of outfits she purchase with the left money = x = 3
