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frozen [14]
2 years ago
8

If the volume of a cube is 64m raise to 3, then its surface area is_______________.

Mathematics
2 answers:
solmaris [256]2 years ago
4 0

Answer:

96 cm^2

Step-by-step explanation:

Volume of a cube =(side)^3=64 cm^3.

(side)^3= (4 cm.)^3

or side =4 cm.

Surface area =6×(side)^2..

=6×4×4 cm^2=

96 cm^2. , Answer

Nastasia [14]2 years ago
4 0

Answer:

Step-by-step explanation:

Volume of cube = 64 m³

Side³ = 64

Side = ∛64 = ∛2*2*2*2*2*2

Side = 2*2 = 4 m

Surface area = 6side² = 6* 4² = 6*4*4

                     = 96 m²

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
DanielleElmas [232]

             \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

\longmapsto\sf{y-y_1=m(x-x_1)}

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

5 0
2 years ago
How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?
Marta_Voda [28]

Answer: 45.03\ ft

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is \theta =30^{\circ}

Suppose the height of the building is h

From the figure, we can write

\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft

The height of the building is 45.03 ft

8 0
2 years ago
Evaluate the expression when a is -5 and y is 7<br> a-5y
Sonbull [250]

Answer:

The answer is -40

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • a = -5
  • y = 7
<h3><u>To </u><u>Find</u>;</h3>
  • a – 5y

Now,

a – 5y

(-5) – 5(7)

-5 – 35 = -40

Thus, The answer is -40

<u>-TheUnknownScientist</u><u> 72</u>

8 0
3 years ago
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Mr. Roosevelt has 48 nails that each weigh 1.35 ounces. What is the weight of these nails in ounces?
sammy [17]
Answer 64.8

48x1.35=64.8
6 0
3 years ago
Read 2 more answers
Make 'y' the subject of the equation. x = 2y -7
geniusboy [140]

Answer:

y = (x + 7)/2

here's your solution

=>. it is given. x = 2y - 7

=> we have to make y as subject

=> now, we can writ this equation in this way

=> 2y - 7 = x

=> now put all constant to right side

=> 2y = x +7

=>. y = x+ 7 /2

hope it helps

5 0
3 years ago
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