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
Anastaziya [24]
3 years ago
7

Alice is constructing rectangular prisms to represent buildings in a diorama for her social

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0
L = w + 6

w = l - 6

h = w - 5

h = l - 11

V = lwh

V = l(l - 6)(l - 11)

But V <= 50

therefore,

l^3 - 17l^2 + 66l - 50 <= 0

since all the coefficients add to 0, 1 is a root. Therefore, it can be factored into:

(l-1)(l-8+sqrt(14))(l-8-sqrt(14))<= 0

but at the extremes,

h >= 0

l -11 >= 0

l >= 11

therefore, considering this,

we can see that

11 <= l <= 8 + sqrt(14)

11 - 6 <= l - 6 <= 8 + sqrt(14) - 6

5 <= w <= 2 + sqrt(14)

(In cm)
You might be interested in
Can someone help me wit this :)
swat32
= -1/8x^5 + 8x^4 + x^2 + 3x - 7
8 0
3 years ago
I need help with these questions can someone help me
Leto [7]
747.69
700.23
29.24
Here you go :)
3 0
4 years ago
Read 2 more answers
Is negative three a perfect cube?
erik [133]

No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.

6 0
3 years ago
Can someone please help with this
gogolik [260]
724.94 I THINK.
787.00+135.46=922.46
922.46-190.05=732.41
732.41-7.47=724.94
4 0
3 years ago
You are offered the following gamble:
Crazy boy [7]

Answer:

$3

Step-by-step explanation:

Flipping two fair coins :

Sample space :

{TH, HT, TT, HH}

Atleast one head = 12

If not = - 24

Probability of atleast one head = 3/4

If not ; probability of 2 tails = 1/4

Hence,

X ______12 ______ -24

P(x) ___0.75 ______0.25

Expected value for of gamble E(x) :

Σx * p(x) = (12 * 0.75) + (-24 * 0.25)

E(x) = 9 - 6

E(x) = 3

Expected value of gamble = $3

8 0
3 years ago
Other questions:
  • Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio
    12·1 answer
  • Write an equation in standard form of the line that passes through the given point (2,6), (3,8)
    13·1 answer
  • What’s the surface area of this shape?
    11·1 answer
  • What is the value of the expression 21 – 6 x 3?<br> A. 3<br> B. 12<br> C. 19<br> D. 45
    5·2 answers
  • Solve for w.<br><br><br>6(33−w)=90
    12·1 answer
  • Need help with classwork. I am not the smartest when it comes to geometry, if someone could help me, I would be grateful.
    6·1 answer
  • Nike Super Sale !!!22 POINTS!!!
    9·2 answers
  • PLEASE HELP...WILL GIVE BRAINLIEST
    9·1 answer
  • What is the solution to the equation 5x + 2(x-4)= 5x + x -10?<br> 03<br> 02<br> 0-2<br> 0-3
    5·1 answer
  • Find the measure of angle 4.<br> O 130<br> O 75 <br> O 4 <br> O 69
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!