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masya89 [10]
2 years ago
12

1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).

Mathematics
1 answer:
Bond [772]2 years ago
3 0

Answer:

1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).

(a) Factor the given expression using the GCF monomial.

(b) Factor the given expression using the difference of squares.

DO NOT ANSWER UNLESS YOU CAN EXPLAIN THIS TO ME CORRECTLY

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The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of
antoniya [11.8K]
The volume of a sphere is (4/3) (pi) (radius cubed).

The volume of one sphere divided by the volume of another one is

 (4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³

Divide top and bottom by (4/3) (pi) and you have     (radius-A)³ / (radius-B)³
and that's exactly the same as
                                                         ( radius-A / radius-B )  cubed.

I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.

Earth radius = 6,371 km
Pluto radius = 1,161 km

Ratio of their radii = (6,371 km) / (1,161 km)

Ratio of their volumes =  ( 6,371 / 1,161 ) cubed = about <u>165.2</u>

Note: 
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
4 0
3 years ago
Read 2 more answers
Solve for x round to the nearest tenth. Show steps!
Dvinal [7]

Answer:

\large\boxed{x\approx56.44}

\large\text{It's close to 55.0}

Step-by-step explanation:

\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44

8 0
3 years ago
Next number in the sequence 1 4 9 16 25
Anarel [89]

The next number in the sequence is 36.

Starting from 1, the number increases by 3, 1 + 3 = 4. But the next number, the number it's being increased by increases by 2. 3 + 2 = 5, 4 + 5 = 9. And again, 5 + 2 = 7, 7 + 9 = 16. And again. 7 + 2 = 9, 16 + 9 = 25. Therefore, it is increased to + 11, and the next number is 36.

I hope this helped, and you have a great day!

3 0
3 years ago
Read 2 more answers
Does anyone know part B to this?!?!? I will give brainilest
fomenos

Answer:

(0,7)

Step-by-step explanation:

5 0
3 years ago
5. 4
matrenka [14]

Answer:

x=1......................

6 0
2 years ago
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