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1. find the area of the composite figure.

40 units2

38.5 units2

39.75 units2

44 units2

#2: the cylinder below needs to be spray-painted. find the surface area and use π = 3.14. round to nearest hundredth.

282.62 cm2

207.24 cm2

226.08 cm2

304.25 cm2

#3:
what is the volume of a sphere with a surface area of 196 π ft2 ?

1372/ 3 π ft3

457/ 3 π ft3

226/ 3 π ft3

420 π ft3

1: Refer to the attached image. We can split the composite figure in easy figures: triangles ABC and CDE have a base AC=4 and height of 3. Their area is thus

Rectangle AEFH has sides AE=8 and AH=3. So, it has area

Finally, triangle FGH has a base HG=2 and height HF=8. So, its area is

So, the total area is

2:

The base radius is 3, so the base area is

The lateral area is the product between the height and the base circumference:

So, the total area is twice the base area plus the lateral area:

3:

The surface area of a sphere is

Solving for r, we have

The volume of a sphere is

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies