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2 years ago

PLEASE HURRRYYY Simplify √x2 (2 means squared)

Mathematics

1 answer:

Maslowich2 years ago

7 0

Answer:

$\sqrt{x ^{2} } \\ { = ( {x}^{2} )}^{ \frac{1}{2} } \\ = {x}^{ \frac{2}{2} } = {x}^{1} \\ = { \boxed{ \boxed{x}}}$

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What percent of 82 is 9.75. Round your answer to the nearest tenth

AysviL [449]

Hi there!

8 would be the nearest ten of 7.995..

1.Multiply 82 with 0.01:

$82$ · $0.01=0.82$

2.Multiply the terms:

$0.82$ · $9.75=7.995$

3.Round the term:

$7.995=8$

Therefore, 82% of 9.75 in nearest tenth is 8.

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2 years ago

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Otrada [13]

Answer:

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3 years ago

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

Vladimir79 [104]

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

$\sqrt{256} =FA$

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

$\sqrt{25} =DA$

5cm = DA

Thus diagonal DF = DA + FA

= 5 + 16

= 21cm

Hence proved

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2 years ago

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Does the following infinite series converge or diverge?

Vladimir79 [104]

The nth term is (presuming the denominator on the first is a typo)

$-\dfrac{n}{(-3)^n}$

The ratio of successive terms is

$\dfrac{ \frac{n+1}{(-3)^(n+1)}}{\frac{n}{(-3)^n}} = \frac{n+1}{-3n}$

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

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3 years ago