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lidiya [134]
3 years ago
5

Simplify the expression. Leave your answer in simplest radical form: 6√64x^4y^2

Mathematics
2 answers:
miss Akunina [59]3 years ago
4 0
I will assume that everything after the radical sign is under the sign...

6√(64x^4y^2)

6√(8^2(x^2)^2(y^2))  removing all of the perfect squares...

6*8*x^2*y

48x^2y
guajiro [1.7K]3 years ago
4 0
6 \sqrt{64x^4y^2}=6 \sqrt{8^2} \sqrt{(x^2)^2} \sqrt{y^2} =6*8x^2y=48x^2y

Edited:
\sqrt[6]{64x^4y^2}= \sqrt[6]{2^6x^4y^2}= 2 \sqrt[6]{x^4y^2}
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Find the surface area of a right prism whose bases are equilateral triangles with side lengths of 6in. The height of the prism i
vesna_86 [32]

ANSWER

211.2 {in}^{2}

EXPLANATION

The surface area of a triangular prism is

equal to the area of two triangular faces

plus the area of the three rectangular faces.

The area of the equilateral triangle is calculated using the formula:

= 2 \times \frac{ \sqrt{3} }{4}  {s}^{2}  + 3 \times  \: bh

where s=6 is the length of one side.

and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.

Surface area

= 2 \times \frac{ \sqrt{3} }{4}  \times  {6}^{2}  + 3 \times  \: 6 \times 10

= 18\sqrt{3} + 180

=211.2square inches.

8 0
3 years ago
You are buying pizzas for a neighborhood party. Each pizza costs $9 and you want to tip the delivery guy $5. You have $72.
TiliK225 [7]

Answer:

7 pizzas

Step-by-step explanation:

You just minus 72 from 9 and once you get to 9 dollars you still have enough to time the delivery guy and you would have 4 dollars left.

3 0
2 years ago
Read 2 more answers
Can anyone explain this question to me? My teacher solved it but I didn’t understand how she did it
Amiraneli [1.4K]

Step-by-step explanation:

To find the space a figure takes, we need to find the volume. Volume of a rectangular prism can be found by multiplying the length, width, and height of the figure.

We can start with the green block. The dimensions of this figure are 6cm, 3cm, and 3cm. The 5cm at the bottom is not a dimension of the green figure. Instead, it shows the total width of both blocks. We will use this later.

Back to the first block, we will find its volume by multiplying its dimensions together.

3 · 3 · 6 = 54

So, the volume of the first block is 54 cm³.

To this, we will add the volume of the blue block. We can find its dimensions with some simple deduction.

The picture shows that the height of the figure is 4cm less than the height of the green one, 6cm.

6 - 4 = 2

The height, then, is 2cm.

The width can be found by subtracting the width of the green block from the total width of both figures, 5cm.

5 - 3 = 2

So, the width is also 2cm.

We can see that the length of the blue block is equal to that of the green one, so we know that the length is 3cm.

Now, multiply all the dimensions we have found together.

2 · 2 · 3 = 12

The volume of the blue block is 12cm³.

We have found the volumes of both figures, so now we can add them both together to find the total.

54 + 12 = 66

So, the total volume is 66cm³.

I hope this was a satisfactory explanation ^^ Good luck, mate

7 0
3 years ago
Write in function notation;<br> y= 5x + 2
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X= -2/5 + y/5 solve for x by simplying both sides of the equation, then isolating the variable
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3 years ago
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Write two numbers that multiply to the value on top and add to the value on bottom.
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The numbers are 3 and -30 They multiply and give -90 And add to give-27














8 0
2 years ago
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