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
OleMash [197]
2 years ago
5

Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five t

imes 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. Ο Α. 71 feet OB. 89 feet OC. OD. 45 feet 141 feet​
Mathematics
1 answer:
marysya [2.9K]2 years ago
8 0

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

<h3>How do you determine the maximum side length?</h3>

We are given the following  details  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 = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

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

Learn more about square pyramids at:

brainly.com/question/12146629

#SPJ1

You might be interested in
What is the equation of the line that passes through the point
BabaBlast [244]

Answe6,-3

Step-by-step explanation:

keoo

3 0
3 years ago
Quadrilateral MNPQ is the same shape but a different size than quadrilateral M'N'P'Q'
I am Lyosha [343]

If the shape is the same, but the size is different, <em>dilation is involved</em>. There may be other transformations that are also involved (such as rotation, translation, or reflection), so MNPQ may or may not be a straight dilation of M'N'P'Q'.

_____

Translation and dilation can sometimes be combined to a dilation about a point that is not the origin. Reflection might be accommodated by using a negative dilation factor. However, rotation cannot be accomplished using dilation alone.

6 0
3 years ago
Solve for c. a = 11(4b + c)
olga2289 [7]

a = 11(4b + c)       Multiply/distribute 11 into (4b + c)  [multiply 11 to 4b and c]

a = 44b + 11c      Subtract 44b on both sides

a - 44b = 11c       Divide 11 on both sides to get "c" by itself

\frac{a-44b}{11}=c   You can simplify it to this(but Idk if you have to):

\frac{a}{11}-4b=c

8 0
4 years ago
Read 2 more answers
Can I get some help please? I WILL MARK BRAINLIEST AND 50 POINTS! DUE TOMORROW BECAUSE GRADES ARE COMING OUT TOMORROW AND THIS I
vichka [17]

Wait this is tricky let me go ask my sis she is coming the answer is in the comeent!

4 0
3 years ago
A random sample of 184 students at South High School were surveyed on whether they would prefer going to a movie or a concert. T
telo118 [61]

The correct statements are as follows;

42% of the students prefer a concert over a movie.

A greater ratio of 11th graders prefer a concert to a movie

The difference in the percent of students who prefer a movie over a concert is 16%

Given that

A random sample of 184 students at South High School was surveyed on whether they would prefer going to a movie or a concert.

              10th   11th   12th   total

Movie       .18    .16     .24    .58

Concert     .15     .18     .09   .42

Total           .33     .34    .33    1

According to the question

The marginal relative frequency for 10th graders is 0.18.  

This is an incomplete statement.

The marginal frequency is a number, not a percent.

42% of the students prefer a concert over a movie.  

42% preferred a convert to the 58% who preferred a movie.  

This statement is True.

A greater ratio of 11th graders prefers a concert to a movie.

18/100 concert to 16/100 for the movie for 11th graders.

\rm = (0.58 -0.42) \times  100 \\\\ =0.16 \times 100\\\\= 16 \ percent

 More 12th graders were surveyed than any other grade level.

There were more 11th graders surveyed (34%) to (33%) for 12 graders False

The difference in the percent of students who prefer a movie over a concert is 16%.  

To know more about Probability click the link given below.

brainly.com/question/25996348

4 0
3 years ago
Other questions:
  • 4. Jerry currently has an account balance of $1,109.80. His initial deposit on the account was $775 and it earned 2.7% simple in
    6·2 answers
  • You deposit $150 in a savings account that earns simple interest at a rate of 5.5% per year. How much interest will you have ear
    14·1 answer
  • Solve for the variable in each equation
    5·1 answer
  • I need to know how to do this math problem
    13·1 answer
  • members of a high school club sold hamburgers at a baseball game to raise money they sold 278 hamburgers if the buns come in pac
    12·1 answer
  • Out of 1,000 tickets in a raffle, one ticket will win a $710 prize. The rest will win nothing. If you have a ticket, what is the
    8·1 answer
  • After completing 10 laps in the daytona 500 a driver has completed 5% of the race how many laps does the race have
    11·1 answer
  • [ INDICES]- Simplify :
    7·2 answers
  • Use substitution to solve the linear system of equations. y= -4x +5 y = 6x-5
    10·1 answer
  • Write an expression <br> Nine more than the quotient of two and a number x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!