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3 years ago

Simply the expression (x^3/2)^6

Mathematics

1 answer:

qaws [65]3 years ago

6 0

Answer:

x**9

Step-by-step explanation:

(x**3/2)**6 = x**18/2 = x**9

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Which best describes the relationship between the successive terms in the sequence shown?

AleksandrR [38]

Answer:

The answer is -10

Step-by-step explanation:

i got it right on edge

5 0

3 years ago

Read 2 more answers

35 POINTS AVAILABLE

aliina [53]

Answer:

Part 1) The length of each side of square AQUA is $3.54\ cm$

Part 2) The area of the shaded region is $(486\pi-648)\ units^{2}$

Step-by-step explanation:

Part 1)

step 1

Find the radius of the circle S

The area of the circle is equal to

$A=\pi r^{2}$

we have

$A=25\pi\ cm^{2}$

substitute in the formula and solve for r

$25\pi=\pi r^{2}$

simplify

$25=r^{2}$

$r=5\ cm$

step 2

Find the length of each side of square SQUA

In the square SQUA

we have that

SQ=QU=UA=AS

$SU=r=5\ cm$

Let

x------> the length side of the square

Applying the Pythagoras Theorem

$5^{2}=x^{2} +x^{2}$

$5^{2}=2x^{2}$

$x^{2}=\frac{25}{2}\\ \\x=\sqrt{\frac{25}{2}}\ cm\\ \\ x=3.54\ cm$

Part 2) we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Find the area of the larger circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=AB=18\ units$

substitute in the formula

$A=\pi (18)^{2}=324\pi\ units^{2}$

step 2

Find the length of each side of square BCDE

we have that

$AB=18\ units$

The diagonal DB is equal to

$DB=(2)18=36\ units$

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

$36^{2}=x^{2} +x^{2}$

$1,296=2x^{2}$

$648=x^{2}$

$x=\sqrt{648}\ units$

step 3

Find the area of the square BCDE

The area of the square is

$A=(\sqrt{648})^{2}=648\ units^{2}$

step 4

Find the area of the smaller circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=(\sqrt{648})/2\ units$

substitute in the formula

$A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}$

step 5

Find the area of the shaded region

$324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}$

7 0

3 years ago

Abbeys cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cats weight. Write and evaluate an expression to show ho

SIZIF [17.4K]

$(18 \div 2) + 2 = x$
X= lbs Abbys dog weighs
so you would take 18 divide by 2 which is 9, then you add 2. So Abbys dog weighs, 11 lbs.

4 0

3 years ago

The European power to first gain a foothold in India was ___________ .

Shkiper50 [21]

D is the answer :) lol

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME!! . . Not sure how to do thisssss

tino4ka555 [31]

√72 = √4 * √18 = 2√18. Therefore her answer is incorrect.

√72 = √4 * √9 * √2 = 6√2.

Since √2 is approximately 1.41,

6 * 1.41 = 8.46 = 8.5 (nearest tenth).

4 0

3 years ago