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3 years ago

(3x/2)^4 any answers

Mathematics

2 answers:

avanturin [10]3 years ago

8 0

Simplify the expression by distributing the exponent of 4 to both 3, x and 2:

3 raised to the 4th power is 81, x raised to the fourth power is x^4 and 2 raised to the 4th power is 16.

So your answer is 81x^4/16.

:)))

Anika [276]3 years ago

6 0

$\bf \left( \cfrac{3x}{2} \right)^4\implies \left( \cfrac{(3x)^4}{2^4} \right)\implies \left( \cfrac{3^4x^4}{2^4} \right)\implies \cfrac{81x^4}{16}$

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The swimming pool and the floor of your gym are similar in size. The pool is 75 feet long by 60 feet wide. What are possible dim

BigorU [14]

Well I think you should calculate 75 times 60 its 4200

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3 years ago

Read 2 more answers

In ΔPQR, PR

Kobotan [32]

Answer:

Step-by-step explanation:

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3 years ago

If each quadrilateral below is a parallelogram, find the missing measures.

prisoha [69]

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN and KL=MN

Upon substituting our given values we will get,

45=KN and 31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given $m\angle N=119^{o}$ , therefore $m\angle L=119^{o}$ .

We will find measure of angle K by using supplementary angles.

$m\angle N+m\angle M=180^{o}$

$119^{o}+m\angle M=180^{o}$

$m\angle M=(180-119)^{o}$

$m\angle M=61^{o}$

By opposite angles of parallelogram $m\angle K=61^{o}$ .

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10 and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

$CE=2\times 7=14$

$GD=\frac{1}{2}\times 22=11$

(3) Property: Opposite sides of parallelogram are congruent.

$SR=PQ$ and $QR=PS$

Upon substituting our given values we will get,

$SR=24$ and $QR=19$

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

$SQ=2\times 10=20$

$PT=\frac{1}{2}\times 42=21$

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

$m\angle PQR=106^{o}$

$m\angle PQS=m\angle QSR$ Alternate interior angles.

$m\angle PQS=49^{o}$

$m\angle QRS=m\angle QPS$ Opposite angles of parallelogram.

$m\angle PQR+m\angle QPS=180^{o}$

$106^{o}+m\angle QPS=180^{o}$

$m\angle QPS=180^{o}-106^{o}$

$m\angle QPS=74^{o}$

Therefore, measure of angle QRS will 74 degrees.

$m\angle PRS=m\angle QPR$ Alternate interior angles.

$35^{o}=m\angle QPR$

$m\angle RPS=74^{o}-m\angle QPR$

$m\angle RPS=74^{o}-35^{o}$

$m\angle RPS=39^{o}$

Now let us find measure of angle PSQ.

$m\angle PSQ=m\angle PQR-m\angle QSR$

$m\angle PSQ=106^{o}-49^{o}$

$m\angle PSQ=57^{o}$

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3 years ago

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love history [14]

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

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3 years ago

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LekaFEV [45]

I would say D. 10/16, 5/8
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3 years ago