1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RSB [31]
2 years ago
6

A cube has a volume of 27 mm. What is the length of each edge of the cube? Plz help

Mathematics
1 answer:
mihalych1998 [28]2 years ago
3 0

Answer:

The length of each edge of the cube is 3 mm

Step-by-step explanation:

A cube has a volume of 27 mm.

<u>Volume of cube = l³</u>

l³ = 27 mm

l = 3 mm

Thus, The length of each edge of the cube is 3 mm

<u>-TheUnknownScientist</u>

You might be interested in
Find the absolute maximum and minimum values of f(x, y) = x+y+ p 1 − x 2 − y 2 on the quarter disc {(x, y) | x ≥ 0, y ≥ 0, x2 +
Andreas93 [3]

Answer:

absolute max: f(x,y)=1/2+p1 ; at P(1/2,1/2)

absolute min: f(x,y)=p1 ; at U(0,0), V(1,0) and W(0,1)

Step-by-step explanation:

In order to find the absolute max and min, we need to analyse the region inside the quarter disc and the region at the limit of the disc:

<u>Region inside the quarter disc:</u>

There could be Minimums and Maximums, if:

∇f(x,y)=(0,0) (gradient)

we develop:

(1-2x, 1-2y)=(0,0)

x=1/2

y=1/2

Critic point P(1/2,1/2) is inside the quarter disc.

f(P)=1/2+1/2+p1-1/4-1/4=1/2+p1

f(0,0)=p1

We see that:

f(P)>f(0,0), then P(1/2,1/2) is a maximum relative

<u>Region at the limit of the disc:</u>

We use the Method of Lagrange Multipliers, when we need to find a max o min from a f(x,y) subject to a constraint g(x,y); g(x,y)=K (constant). In our case the constraint are the curves of the quarter disc:

g1(x, y)=x^2+y^2=1

g2(x, y)=x=0

g3(x, y)=y=0

We can obtain the critical points (maximums and minimums) subject to the constraint by solving the system of equations:

∇f(x,y)=λ∇g(x,y) ; (gradient)

g(x,y)=K

<u>Analyse in g2:</u>

x=0;

1-2y=0;

y=1/2

Q(0,1/2) critical point

f(Q)=1/4+p1

We do the same reflexion as for P. Q is a maximum relative

<u>Analyse in g3:</u>

y=0;

1-2x=0;

x=1/2

R(1/2,0) critical point

f(R)=1/4+p1

We do the same reflexion as for P. R is a maximum relative

<u>Analyse in g1:</u>

(1-2x, 1-2y)=λ(2x,2y)

x^2+y^2=1

Developing:

x=1/(2λ+2)

y=1/(2λ+2)

x^2+y^2=1

So:

(1/(2λ+2))^2+(1/(2λ+2))^2=1

\lambda_{1}=\sqrt{1/2}*-1 =-0.29

\lambda_{2}=-\sqrt{1/2}*-1 =-1.71

\lambda_{2} give us (x,y) values negatives, outside the region, so we do not take it in account

For \lambda_{1}: S(x,y)=(0.70, 070)

and

f(S)=0.70+0.70+p1-0.70^2-0.70^2=0.42+p1

We do the same reflexion as for P. S is a maximum relative

<u>Points limits between g1, g2 y g3</u>

we need also to analyse the points limits between g1, g2 y g3, that means U(0,0), V(1,0), W(0,1)

f(U)=p1

f(V)=p1

f(W)=p1

We can see that this 3 points are minimums relatives.

<u>Conclusion:</u>

We compare all the critical points P,Q,R,S,T,U,V,W an their respective values f(x,y). We find that:

absolute max: f(x,y)=1/2+p1 ; at P(1/2,1/2)

absolute min: f(x,y)=p1 ; at U(0,0), V(1,0) and W(0,1)

4 0
3 years ago
Property in equation. Find the value of n. 5+4= n+4
Nuetrik [128]
5+4 = n+4
9 = n+4
n = 5
4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
castortr0y [4]

Answer:

$3.75

Step-by-step explanation:

dimes= x

quarters= x+2

nickels= 2x+2

sum is 3.75

.10x+.25(x+2)+0.05(2x+2)=3.75

.10x+.25x+.50+0.10x+0.10=3.75

0.45x=3.15

x=7 dimes (0.70)

x+2=9 quarters (2.25)

2x+2=16 nickels (0.80)

They add to $3.75

5 0
2 years ago
Read 2 more answers
How do i solve this because I need some help. I'm studying for my test.
mote1985 [20]
At Gino's you pay $16 plus $8 per pizza.
At Venetian's you pay $24 plus $6 per pizza.
Let the number of pizzas be x.

At Gino's you pay 16 + 8x
At Venetian's you pay 24 + 6x

Set the two costs equal and solve for x to find out the number of pizzas for which both costs are the same.

16 + 8x = 24 + 6x
16 + 2x = 24
2x = 8
x = 4
Each place gives you a free pizza.
4 pizzas plus the free pizza equals 5 pizzas.

If you need 5 pizzas (including the free one), both parlors cost the same.

If you need fewer than 5 pizzas, use Gino's.
If you need more than 5 pizzas, use Venetian's.
7 0
3 years ago
HELP 5 STAR RATING ADN BRAINLY IF SOLVED!
alexandr402 [8]
It is $84.6. You multiply 1.6 by 13 which equals $20.8. Then you multiply 3.1 by 14 which equals $43.4. Then you multiply 1.2 by 17 which equals $20.4. Add them together and you get $84.6. 

Hope this helps:)<span />
5 0
2 years ago
Read 2 more answers
Other questions:
  • If the first quadrant, you start at (6, 5) and move 3 units left
    8·1 answer
  • the big dog weighs 5 times as much as the little dog. The little dog weighs 25% as much as the medium sized dog. The medium size
    10·1 answer
  • Solve. 3(x + 1) - 2x = -6 *<br><br><br>x = 1<br><br>x = 5<br><br>x = -7<br><br>x = -9
    5·1 answer
  • Write the equation of the circle centered at (0,1) with radius 15.
    13·1 answer
  • I need help with this question
    11·2 answers
  • Hi i really need help so please try to answer these the best you can its multiple choice
    13·1 answer
  • If cos ⁡x=−4/5, and 180°
    5·1 answer
  • I have no clue what the answer is please help
    14·1 answer
  • What is 10 x 5 + 50 I need an lot of help im mest up in the brain.
    10·2 answers
  • Which equation has a maximum at y = 5 for 0 &lt; x &lt; 27?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!