Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by 4 cm;
12 cm by 2 cm by 3 cm

B. 2 cm by 4 cm by 9 cm;
9 cm by 4 cm by 2 cm

C. 3 cm by 3 cm by 8 cm;
2 cm by 6 cm by 8 cm

D. 6 cm by 3 cm by 4 cm;
9 cm by 4 cm by 3 cm

Answers

Answer 1
Answer: A. 6*3*4=12*2*3 = 72
Surface area =
2(6*3) + 2(3*4) + 2(6*4) not equal to 2(12*2) + 2(12*3) + 2*(2*3)

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Find n. 6/9=n/36 n=_____
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which has more volume a cube of sides measuring 4 units each or a sphere with a radius of 3 units


Answers

V cube = 4^3 = 64 cm^(3)
V sphere = 4*π*3^3/3 = 4*π*9 = 36*π≈113 cm^(3)
V sphere > V cube.

What is the simplest form of the expression? sqrt 2 - sqrt 6 / sqrt 2 + sqrt 6

Answers

Answer:

-2+√(3)

Step-by-step explanation:

we have

(√(2)-√(6))/(√(2)+√(6))

Multiply the expression by the conjugate of denominator

(√(2)-√(6))/(√(2)+√(6))*(√(2)-√(6))/(√(2)-√(6))\n \n=-(√(2)-√(6))^(2)/4  

=-(1/4)*(2-4√(3)+6)\n \n=-(1/4)*(8-4√(3))\n \n=-2+√(3)

   
\displaystyle \n ( √(2) -√(6))/(√(2) +√(6)) = ( (√(2) -√(6))(√(2) -√(6)))/((√(2) +√(6))(√(2) -√(6))) = \n \n \n = ( (√(2) -√(6))^2)/((√(2))^2 -(√(6))^2) = ( 2-2√(2)√(6) + 6)/(2 -6) = \n \n \n = ( 8-2√(12) )/(-4) = ( 8-2√(4* 3) )/(-4) = ( 8-4√(3) )/(-4) = \boxed{-2+√(3)}



Which of the following statements shows the distributive property?5 + (4 – 2) = 20 – 10

5(4 – 2) = 20 – 10

5 + (4 – 2) = 9 + 3

5(4 – 2) = 9 – 7

Answers

Answer:

\displaystyle 5(4 - 2) = 20 - 10

This is a genuine statement of you look real closely at it.

I am joyous to assist you anytime.

Find the slope of the line passing through the points (5, 4) and (5, -5)

Answers

Answer:

NO Slope

Step-by-step explanation:

slope of the line passing through the points (5, 4) and (5, -5)

slope = y2 - y1   =    -5 - 4   = -9

            x2 - x1           5 - 5          0

see attached.

in this graph of a line x = 5, no matter what the value of y is.

the horizontal change is 0 and the vertical change is any y value

therefore, there is NO Slope

Please help me with this question please help

Answers

It is 4.6 and you just round it to 5 and that’s it

Factor the coefficient from 1.5a - 4.5.

Answers

The resulting expression is 1.5 times the quantity (a - 3).

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To factor the coefficient from 1.5a - 4.5, we can first factor out the greatest common factor (GCF) of the two terms.

The GCF of 1.5a and 4.5 is 1.5:

1.5a - 4.5 = 1.5(a - 3)

So, we have factored out the coefficient of 1.5 from the original expression.

The resulting expression is 1.5 times the quantity (a - 3).

Learn more about algebraic Expression here:

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1.5a - 4.5 = 1.5 × a - 1.5 × 3 = 1,5(a - 3)