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
exis [7]
2 years ago
14

A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the

base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot.
Please explain how to solve this problem, not just the answer.
Mathematics
2 answers:
mixas84 [53]2 years ago
7 0

Answer:

48

Step-by-step explanation:

If we use above fourty eight.

49 * 245 = 12005.(slant area) 12005 * 4 = 48020.

(base area) 49 * 49 = 2401.     2401+48020 = 50421. (Over our limit?!?)

Temka [501]2 years ago
3 0

The area of the square pyramid building is the amount of space on it

The maximum base length of the building is 67.42 cm

<h3>How to determine the maximum side length?</h3>

The given parameters are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b^2

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 10b^2 + b^2

Evaluate the sum

T = 11b^2

The maximum surface area is 50,000 square feet

So, we have:

11b^2 = 50000

Divide both sides by 11

b^2 = 50000/11

Take the square root of both sides

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

Read more about square pyramids at:

brainly.com/question/27226486

You might be interested in
What is the equation of the parabola with a directrix at y = -4 and focus (0, 4)?
Mashcka [7]

Answer: this is Judy Heckman you answered a question about a parabola graph and someone went off of it before I could study it. Help thanks

Step-by-step explanation:

5 0
3 years ago
Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
8 months ago
Nishi invests £2200 at 5% interest per year.
lord [1]
I =(2200×5%×3)/100
=3.3
3 years = 3.3 +2200
= 2203.30
I =(2200×5%×5)/100
=5.50
5 years =5.50 +2200
= 2205.50

6 0
3 years ago
I have 4 factors. Three of my factors are 1, 2, and 6. What is my fourth factor?
SIZIF [17.4K]

The 4th factor would be 3. You would find this out through a factor tree. If you don't know the original number when you start you look at your numbers. A factor of 1 usually goes with the highest number, assuming that the number 6 is the highest factor, that would be the original number. As 2 is the other known factor than we know that 3 has to be the last factor, because 2 x 3 = 6. It cannot be the number 12 because then there would be 6 factors not the needed 4.

7 0
3 years ago
Find the average rate of change of the function f(x)=(x−2)2
zysi [14]

Answer:

7dfuufufufufufjfhfhdfhhxgxgxtx

Step-by-step explanation:

ifififkffif8f77f8g8

hope its helps you

6 0
3 years ago
Other questions:
  • Which two terms can be combined in this expression?
    10·2 answers
  • Please help me understand how to do this
    10·2 answers
  • F(x) =10x 5 and g(x) =3x 6 then what is ( f-g)
    12·1 answer
  • Your bank balance decreased by $9.54 on Monday, and you made a $17.23 deposit on Tuesday. On Wednesday, you spent $4.67 from you
    15·1 answer
  • What is the surface area of a cylinder with base radius 2 and height 9?
    15·2 answers
  • A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
    9·2 answers
  • Plzzzzzzzzz help meeeeeeeeee
    12·2 answers
  • Plz answer these 2 I’ll mark brainliest
    13·2 answers
  • Find the slope of the line that<br> passes through the following<br> points. (0,0), (-2,-4)
    10·2 answers
  • What are the new<br> coordinates of (6,-2) with<br> the dilation scale factor of<br> 1/2.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!