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Lisa [10]
3 years ago
5

A sunflower grows an average of 5mm per week. Write an equation for the sequence that represents the weekly height of this sunfl

ower if the measurements begin when the sunflower is 1 meter tall
show work please
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
If it grows at 5mm per week the slope is 0.005m per week, and since it starts at 1 meter in height that is the y-intercept.  So the height in meters as a function of weeks is:

h(w)=0.005w+1

or if you wanted the height in mm then:

h(w)=5w+1000



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Check below please

Step-by-step explanation:

A quadrilateral is a polygon with four sides.

Then let's plot it, check it below.

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2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.

All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:

\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2}  \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90

Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2

3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:

\frac{b*h}{2}=32.84 \therefore b*h=65.68

Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.

So

65.58  : 6 =10.93\\b=6\\h=10.93

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