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iogann1982 [59]
2 years ago
15

Find the square of (4x – 6y3)2

Mathematics
2 answers:
Viktor [21]2 years ago
8 0
(4x - 6y³)²
(4x - 6y³)(4x - 6y³)
4x(4x - 6y³) - 6y³(4x - 6y³)
4x(4x) - 4x(6y³) - 6y³(4x) + 6y³(6y³)
16x² - 24xy³ - 24xy³ + 36y⁶
16x² - 48xy³ + 36y⁶
bazaltina [42]2 years ago
8 0

Answer:

16x^{4} -48xy^{3} +36y^{6}

Step-by-step explanation:

The given term is :

(4x-6y^{3} )^{2}

We can also write this as :

(4x-6y^{3} )(4x-6y^{3} )

We will use the formula : (a-b)^{2} =a^{2} -2ab+b^{2}

We can assume a = 4x

b = 6y^{3}

So, the answer we get by applying formula is :

(4x)^{2} -2(4x)(6y^{3} )+(6y^{3})^{2}

=16x^{2} -48xy^{3} +36y^{6}

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The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the t
Nana76 [90]

The pool's dimension are  l = 2.7 m and w = 1.2 m

Step-by-step explanation:

Step 1 :

Given

The pool's perimeter = 7.8 m

Four times the pool's length = nine times the pool's width.

=> 4l = 9w  => l = (\frac{9}{4}) w

Where l is the pool's length and w is the pool's width

Step 2:

The rectangle's formula for perimeter is 2 (l+w)

Substituting l = (\frac{9}{4}) w ,

2[ (\frac{9}{4}) w + w]  = 7.8 (given)

(\frac{13}{2}) w  = 7.8 = > w = 1.2 m

Step 3 :

l = (\frac{9}{4}) w = (\frac{9}{4}) 1.2 = 2.7

l = 2.7 m

Step 4 :

Answer :

The pool's dimension are  l = 2.7 m and w = 1.2 m

6 0
2 years ago
Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ
BaLLatris [955]

Answer:

V = 11.2 cm^3

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, V = \frac{1}{3}\pi r^2h

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

C = 2\pi r

We have C to be 5.8cm

By substituting this value;

5.8 = 2\pi r

Divide through by 2\pi

\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}

r = \frac{5.8}{2\pi}

r = \frac{2.9}{\pi}

Now, we can calculate the volume of the cone

By substituting r = \frac{2.9}{\pi} and h = 12.5 cm;

V = \frac{1}{3}\pi r^2h becomes

V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5

V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5

V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5

Take \pi as 3.14

V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5

V = 11.15976

V = 11.2 cm^3 ---- Approximated

Hence, the volume of the cone is; V = 11.2 cm^3

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300 dollers is your answer thanks for asking
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Write a word problem that involves multiplication and addition. Include extra numerical information
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Sally bought 5 apples at the store. Her friend, jenny, bought 4 times as many apples as Sally. Jonathan bought 6 more apples than Sally. How many apples did Jenny buy?
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Which integer represents 50 degrees below zero?
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Answer:

-50

Step-by-step explanation:

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