Hi there!
8 would be the nearest ten of 7.995..
<em><u>1.Multiply 82 with 0.01:</u></em>
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<em><u>2.Multiply the terms:</u></em>
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<em><u>3.Round the term:</u></em>
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Therefore, 82% of 9.75 in nearest tenth is 8.
Answer:
I think it will be combined and simplified
I am not to sure about this one
Given
Sofia cuts a piece in the shape of a kite for an art project
top two sides measure 20 cm each
bottom two sides measure 13 cm each.
One diagonal, EG, measures 24 cm
Find out the length of the other diagonal, DF.
To proof
As given in the question and also shown in the diagram shown below
DE = EF = 20cm
DG = GF = 13cm
EG = 24cm
DF = ?
In kite shape
One diagonal is the perpendicular bisector of the other diagonal.
i.e EG is the perpendicular bisector of DF
i.e EG is divided into two equal parts
thus EA = AG = 12cm
in Δ EAF
By applying the pythagorus theorem
we have
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²

16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²

5cm = DA
Thus diagonal DF = DA + FA
= 5 + 16
= 21cm
Hence proved
The nth term is (presuming the denominator on the first is a typo)

The ratio of successive terms is

The limit is -1/3, absolute value less than 1, so the series converges. It has a sum -- that's what converges means.