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
aalyn [17]
3 years ago
14

Find the surface area of the regular pyramid

Mathematics
1 answer:
love history [14]3 years ago
6 0

Greetings from Brazil!

4\dfrac{1}{2} =\dfrac{9}{2}

Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2

Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2

At=Af1+Af2\\At=36+20,25\\At=56,25~m^2

I hope I helped you! =)  

You might be interested in
Mary had $25,000 to invest. She invested part of that amount at 3% annual interest and part at 5% annual interest for one year.
emmasim [6.3K]
(25000-f)(.03)+.05f=1100

750-.03f+.05f=1100

750+.02f=1100

.02f=350

f=$17500

So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.


3 0
3 years ago
The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
Quadrilateral ABCD is rotated 145° about point T. The result is quadrilateral A'B'C'D'. Which congruency statement is correct?
lilavasa [31]
<span>The congruency statement should be that which shows the congruency of the corresponding angle and the sides. In the rotation of the polygon, the angle A is congruent with angle A' still. The same is true for all the angles and sides. The congruency statement is therefore, ABCD is congruent to A'B'C'D' The answer to this item is letter A. </span>
3 0
3 years ago
Read 2 more answers
Plot the points a (-2,-3), b (-3,0), c (3,2), and d (4,-1). What type of quadrilateral is ABCD? Justify your answer using slope
jenyasd209 [6]
<span>Plot the points a (-2,-3), b (-3,0), c (3,2), and d (4,-1). What type of quadrilateral is ABCD? Justify your answer using slope formula 

 the shape is a parellelogram, not a trapezoid all are parellel, but how to distinguish rhombus, rectangle, and square?</span> 
6 0
3 years ago
Length,breadth &amp; diagonal of a cuboid are 60 cm,20 cm &amp; 65 cm respectively. find its volume?
Lera25 [3.4K]
I hope this helps you



Volume=60.20.65



Volume=78000
7 0
3 years ago
Other questions:
  • What is the surface area of the cube below? 9 9 9
    6·1 answer
  • What is the equivalent fraction?
    11·2 answers
  • Answer problem below
    9·2 answers
  • The question is in the photo
    6·1 answer
  • F(x)=2x 2 −15Find f(−2)Find f(−2)
    13·1 answer
  • 8. If r(x) = x2 + 2, what is r(-3)?
    6·1 answer
  • The expression that is equal to -10(4x – 5).
    15·1 answer
  • PLS HELP WITH THIS ONE
    13·1 answer
  • The mayor surveyed 1000 voters to see if they approve of the job she's doing, what is the population?
    7·1 answer
  • Complete the frequency table using 6 intervals beginning with 1-15.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!