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hram777 [196]
3 years ago
14

ASAP!!! ASAP!!! What is the volume of the rock???

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

10 cm³

Step-by-step explanation:

According to Archimedes, if we place an object in water, the rise of the water in mL will be the volume of the object in cm³.

Without the rock, the water measures 20 mL.

With the rock, the water measures 30 mL.

The change here is 30-20=10, so 10 cm³ is the volume of the rock.

Hope this helped!

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shepuryov [24]

Answer:

  AKPOS/ACGF = 28√3 -48 ≈ 0.497423

Step-by-step explanation:

Let's assume the square is a unit square. Then the height of the triangle is ...

  1 +(√3)/2 = h

and half the base of the triangle is ...

  h/√3 = (√3)/3 +1/2 = b/2

The area of the triangle is the product of these:

  A = (1/2)bh

  = (2 +√3)/2 × (3 +2√3)/6

  = (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12

So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...

  (square area)/(triangle area) = 12/(12+7√3)

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8 0
3 years ago
Factor completely x3 + 8x2 − 3x − 24.
Anna71 [15]

Answer:

<h2>x³ + 8x² - 3x - 24 = (x + 8)(x - √3)(x + √3)</h2>

Step-by-step explanation:

x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)

7 0
3 years ago
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Step-by-step explanation:

7 0
2 years ago
Question is shown below.
Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11}  = 220

\frac{2140 + x}{11}  = 220

2140 + x = 2420

x = 2420 - 2140

x = 280

We convert 280 seconds to minutes.

\frac{280}{60}  = 4 \frac{2}{3}  = 4mins : 40 sec

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3 0
3 years ago
Pls help being timed
grandymaker [24]

-7+(9)=2

you can do the opposite of what is given (9-7)

6 0
3 years ago
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