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Lynna [10]
3 years ago
12

Help and Plz make sure it’s right

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

8.6

Step-by-step explanation:

Use the pythagorean therom for this

(5.9)^2 + (6.3)^2 = c

c= 74.5

square root of 74.5 is 8.631 or 8.6

hope this helps

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The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are
Sveta_85 [38]

Answer:

\huge\boxed{1000 \ \text{cm}^3}

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be a^{\frac{3}{2}}, a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

100^{\frac{3}{2}}

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - 100^{\frac{3}{2}} becomes \sqrt{100^3}

  • 100^3=1000000
  • \sqrt{1000000}=1000

Therefore, the volume of this cube will be 1000 \ \text{cm}^3

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be s^2, where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is s^3.

Since we know that one face is 100, we can make an equation - s^2=100

  • \sqrt{s^2}=\sqrt{100}
  • s=10

Now that we know the value of s, we can plug it into the volume formula, s^3.

  • 10^3
  • 10 \cdot 10 \cdot 10
  • 1000

So the volume is 1000 \ \text{cm}^3.

Hope this helped!

4 0
3 years ago
2.16=?2, point, 1, start overline, 6, end overline, equals, question mark
Otrada [13]

Answer:

2\frac{4}{25}

Step-by-step explanation:

The question asks:

2.16 = ???

The is a decimal number that can be converted to a mixed fraction

2.16 = 2 + 0.16

2 = whole number.

So, we are left with 0.16

We can convert this to a fraction

Since it is in 2 decimal places we Multiply by 100

=( 0.16 × 100)/ 100

= 16/100

We simplify this fraction and we have

= 4/25

Therefore,

2.16 = 2 + 0.16

2.16 = 2 + 4/25

2.16 = 2\frac{4}{25}

3 0
3 years ago
If y varies directly with x and y = 5 when x = 4, find the value of y when x = -8.
lilavasa [31]

Answer:

-10

Step-by-step explanation:

y= kx

or, k= y/x

or, k = 5/4

k = 1.25

y= kx = 1.25 × (-8) = -10

8 0
3 years ago
If you roll a cube 30 times how many 3s​
Zanzabum

Answer:

1o

Step-by-step explanation:

because when 30 dived by 3 is 10 so answer 10

6 0
2 years ago
Which postulate proves these two
yanalaym [24]
It’s A…..HL postulate


Adiós XD
5 0
2 years ago
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