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oee [108]
2 years ago
10

A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a

Mathematics
1 answer:
RUDIKE [14]2 years ago
6 0

Answer:

A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area.  Find the volume of the dilated solid.

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Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = −
rjkz [21]

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

7 0
3 years ago
A pyramid has a square bade with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum
Citrus2011 [14]

Answer:

V = (2/9)s³

Step-by-step explanation:

The general formula for the volume of a pyramid is:

V = (1/3)(base area)(height).

Here,  the length of a side of the square base is s, and so the area is A = s².  For the height we use (2/3)s.  Then  the volume of the pyramid is:

V = (1/3)(s²)(2/3)s, or V = (2/9)s³

5 0
3 years ago
Annie says the two expressions are equalized. Is she correct? Explain using different strategies -3x+6 and 3(-x -2).
borishaifa [10]

Step-by-step explanation:

By using Distributive Property on 3(-x - 2),

3(-x - 2) = (3)(-x) + (3)(-2) = -3x - 6.

Since -3x - 6 =/= -3x + 6,

they are not equalized.

7 0
3 years ago
Lloyd has a PIN number for his bank card.
zhenek [66]

Answer:

6

Step-by-step explanation:

6 is a multiple of three with only itself

3 0
2 years ago
What is 1+ 25372 +62719+ 82837?
Lynna [10]

Answer:

170929

Step-by-step explanation:

7 0
3 years ago
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