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Fudgin [204]
3 years ago
9

Find the volume of a cube with edges of 5 and 1/3 inches

Mathematics
1 answer:
True [87]3 years ago
6 0
Since all the sides of a cube are the same length, then to find the volume just use the volume formula

v = length x width x height
v = 5 1/3 x 5 1/3 x 5 1/3
v = (16/3)^3
v = 4096/27
v = 151.70 inches^3
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Given m || n, find the value of x and y
Anika [276]

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

7 0
3 years ago
Would someone plz tell me what these are
AVprozaik [17]

Answer:

The little lines mean the sides are the same. Like length.

8 0
3 years ago
Write an equation to math the vertical line shown
Roman55 [17]

Answer:

x=1

Step-by-step explanation:

We know this, because the value of x is always constant, no matter the y-value. So, the equation is x=1.

Hope this helped!

3 0
3 years ago
Read 2 more answers
The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{
tamaranim1 [39]

You get everything you need from factoring the last expression:

x^4-y^4=-176\sqrt7

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)

Plug in everything you know and solve for x-y:

-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}

4 0
3 years ago
Read 2 more answers
Evaluate the function rule for the given value. f(x)=3^x for x=-5
FromTheMoon [43]

Answer:

\frac{1}{243}

Step-by-step explanation:

using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

f(- 5) = 3^{-5} = \frac{1}{3^{5} } = \frac{1}{243}


6 0
4 years ago
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