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3 years ago

What is (4a²)³÷8a²? can you please answer in normal number form (not like 3²)

Mathematics

1 answer:

AleksandrR [38]3 years ago

3 0

Answer:

$8a^4$

Step-by-step explanation:

Hello! $(4a^2)^3=4\cdot4\cdot4\cdot a^2\cdot a^2\cdot a^2=64a^6$ because if you multiply numbers with exponents you add the exponents.

Now we've got $\frac{64a^6}{8a^2}=8a^4$ .

Sadly it has to be in exponential form. You can substitute $a$ into the equation if you know a.

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Reil [10]

Answer:

sffewetgryhntrfvrfvfewragtehyrnmhnsgbfvdsfsegrtew

3 0

3 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N

miskamm [114]

Answer:

114°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

<h3>setup</h3>

(11x +15)° = 60° +6x°

<h3>solution</h3>

5x = 45 . . . . . . . . . divide by °, subtract 15+6x

x = 9 . . . . . . . . . . divide by 5

The measure of exterior angle KMN is ...

m∠KMN = (11(9) +15)° = 114°

_____

<em>Additional comment</em>

Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...

60° +6x° +M = 180°

(11x +15)° +M = 180°

Equating these expressions for 180° and subtracting M gives the relation we used above:

(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°

(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M

This is also described by "supplements to the same angle are equal."

4 0

2 years ago

Read 2 more answers

PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.

dusya [7]

Answer:

P(x) = -5(x² - 12)² + 405

Step-by-step explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405

8 0

3 years ago

What is the circumference of the circle? round the circle to the nearest foot.

lozanna [386]

Circumference=2 x pi x radius
radius= diameter/2= 28/2= 14 ft.

c=2 x 3.14 x 14
c= 87.92 ft. or rounded to 88 feet

3 0

3 years ago

Read 2 more answers