The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
A bar graph has age on the x-axis and number of dogs on the y-axis. There is 1 dog that is 0 to 1 year of age; 4 dogs that are 2 to 3; 2 dogs that are 4 to 5; 0 dogs that are 6 to 7; 1 dog that is 8 to 9.

A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 3 dogs that are 2 to 3; 4 dogs that are 4 to 5; 3 dogs that are 6 to 7; 0 dogs that are 8 to 9.

A bar graph has age on the x-axis and number of dogs on the y-axis. A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 4 dogs that are 6 to 7; 1 dog that is 8 to 9.

A bar graph has age on the x-axis and number of dogs on the y-axis. There are 2 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 1 dog that is 6 to 7; 2 dogs that are 8 to 9.

Answers

Answer 1

The set of data for which the mean is most likely greater than the median is the data given by first histogram.

How to identify skewed graph?

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.

This graph usually has mean < median < mode

A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:

Mode < median < mean.

For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.

For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.

So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.

We're given these histograms:

Histogram 1:

    Age                Frequency

0 - 1 years                   1

2 - 3 years                   4

4 - 5 years                   2

6 - 7 years                   0

8 - 9 years                   1

Histogram 2:

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   3

4 - 5 years                   4

6 - 7 years                   3

8 - 9 years                   0

Histogram 3:

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   1

4 - 5 years                   2

6 - 7 years                   4

8 - 9 years                   1

Histogram 4:

    Age                Frequency

0 - 1 years                   2

2 - 3 years                   1

4 - 5 years                   4

6 - 7 years                   1

8 - 9 years                   2

The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.

The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.

The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.

Thus, for this histogram, the median  < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).

Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.

The graph of the first histogram is attached below.

Learn more about skewed distribution here:

https://brainly.com/question/13111221

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The Histograms Below Show The Ages Of Dogs At Four Different Shelters. For Which Set Of Data Is The Mean
Answer 2

Answer:

A. The first graph

Step-by-step explanation:

Got it right on an edge test

Have a nice day :)


Related Questions

y=7x+5, y=2x+5
Solving systems

Answers

Answer:

x = 0, y = 5

Step-by-step explanation:

y = 7x + 5

=> x = (y-5) / 7

y = 2x + 5 = 2 *(y-5) /7 + 5

=> (y - 5) / 2 = ( y - 5) / 7

=> y =5 since only 0 / 2 = 0 / 7

=> x = (y -5) / 7 = 0 / 7  = 0

What is the solution to the system of equation?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The solution to the system is the point that is on both lines. It is where the lines intersect (cross). They intersect at the point (0, -4)

Please help!! Will mark brainlyest.

Answers

Answer:

C

Step-by-step explanation:

It cannot be D and A and B are the same

Answer:

90 degrees around the origin

Step-by-step explanation:

When you rotate the first time it is 90 degrees

When you rotate two times it is 180 degrees

When you rotate three times it is 270 degrees

Hope it helps:)

Find an ordered pair that is a solution to the equation.

Answers

Answer:

[tex](x,y) = (4,1)[/tex]

Step-by-step explanation:

[tex]-4+5\cdot 1 = 5-4 =1[/tex]

Answer:

(2, 3/5)

Step-by-step explanation:

Step 1. Rewrite as slope-intercept form, y = mx + b (OPTIONAL)

-x + 5y = 1

5y = x + 1

y = 1/5x + 1/5

Step 2. Pick an x value, then sub for y

x = 2

y = 1/5(2) + 1/5

y = 2/5 + 1/5

y = 3/5

Ordered pair: (2, 3/5)

God bless!

name the 3d shape formed by each net.

Answers

Answer:

1. Rectangular Prism

2. Cylinder

3. Triangular Pyramid

4. Triangular Prism

5. Cone

6 Rectangular Pyramid

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the shortest length of fence that the rancher can use

Answers

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

What is the area of a rectangle?

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

[tex]\mathbf{L = 3x - 2( \dfrac{1000000}{x})}[/tex]

[tex]\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}[/tex]

[tex]\mathbf{ x^2= \dfrac{2000000}{3} }[/tex]

[tex]\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }[/tex]

[tex]\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}[/tex]

Now, if we replace the value with equation (1), then y will be:

[tex]\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}[/tex]

[tex]\mathbf{x =500\sqrt{6}}[/tex]

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

[tex]\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}[/tex]

[tex]\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}[/tex]

[tex]\mathbf{L =2000 \sqrt{6} }[/tex]

[tex]\mathbf{L \simeq 4899 \ ft}[/tex]

Learn more about the area of a rectangle here:

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PLEASE HELP
Find AB,. Round to the nearest tenth.

Answers

Answer:

11.6

Step-by-step explanation:

11.64 without rounding. since the 2nd decimal is below 5, we round down to 0. 11.60, or just 11.6 :) hope this helps!

Ming was planning a trip to western smaoa be fore she was going she did some research and learned that the exchange rate is 6 tala for 2$ how many tala would she get if she exchanged 6$

Answers

Answer:

  18 tala

Step-by-step explanation:

The exchange is proportional, so the number of tala Ming receives will be proportional to the number of dollars she exchanges.

  x / ($6) = 6 tala / ($2)

__

Multiplying by $6, we have ...

  x = (6 tala)($6/$2) = 18 tala

Ming would get 18 tala when exchanging $6.

8. (3x-5) mZS = 0 MZR = Р T con A (117 Bux+5)* S

Answers

Answer:

95°, 110°

Step-by-step explanation:

Since we're dealing with a cyclic quadrilateral ,

m<T + m<R 180°

7y + 11y = 180°

18y = 180°

y = 10°

Also,

m<S + m<U = 180°

3x+5+3x-5= 180°

6x = 180°

x = 30°

m<S = 3x+5 = 3(30)+5

= 95°

m<R = 11y = 11(10)

= 110°

Given -

m∠R = (11y)°m∠S = (3x + 5)°m∠T = (7y)°m∠U = (3x - 5)°

To find -

m∠Rm∠S

(nullifying x and y)

Explanation -

As we know this is a cyclic quadrilateral and it's either pair of the opposite angles sum up to 180°.

Therefore,

m∠S + m∠U = 180° ---(1)

m∠R + m∠T = 180° ---(2)

Solution -

Substituting the values of the measure of angles in (1)

➜ m∠S + m∠U = 180°

➜ (3x + 5)° + (3x - 5)° = 180°

➜ 6x = 180°

➜ x = 180/6

➜ x = 30

Therefore, m∠S = (3x + 5)° = {3(30)+5}° = (90+5)°

m∠S = 95°

Substituting the values of the measure of angles in (2)

➜ m∠R + m∠T = 180°

➜ (11y)° + (7y)° = 180°

➜ 18y = 180°

➜ y = 180/18

➜ y = 10

Therefore, m∠R = (11y)° = (11×10)° = 110°

Groceries R Us is selling 8 apples for $2.80.

Food Galore is selling 6 apples for $2.16.

Shop Here is selling 4 apples for $1.42.


Find their unit rates. Which store has the best deal?

Answers

Answer:

Groceries R Us

Step-by-step explanation:

i dont know how to explain lol


The diagram shows a straight line ABCD.
A is the point (−260,480) D is the point (620,−180)
The line cuts the y-axis at B and the x-axis at C.

Answers

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = [tex]\frac{-180-480}{620-(-260)}[/tex] = [tex]\frac{-660}{620+260}[/tex] = [tex]\frac{-660}{880}[/tex] = - [tex]\frac{66}{88}[/tex] = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!

A certain circle can be represented by the following equation. x^2+y^2+16x-14y+49=0x 2 +y 2 +16x−14y+49=0x, squared, plus, y, squared, plus, 16, x, minus, 14, y, plus, 49, equals, 0 What is the center of this circle ? ((left parenthesis ,,comma ))right parenthesis What is the radius of this circle ? units

Answers

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

[tex]x^2+y^2+16x-14y+49=0[/tex]

[tex]\implies x^2+16x+y^2-14y+49=0[/tex]

[tex]\implies (x+8)^2-64+(y-7)^2-49+49=0[/tex]

[tex]\implies (x+8)^2+(y-7)^2=64[/tex]

Therefore:

center = (-8, 7)radius:  [tex]r^2=64 \implies r=\sqrt{64} =8[/tex]

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

the equation of a line is shown

6x-3y=5
a dilation c entered at the origin with a scale factor of 6 is applied to this line

A: what is the slope of the line after dilation
B: what is the value of the y-intercept of the line after the dilation ​

Answers

Answer: See below

Step-by-step explanation:

Let us write the equation of the given line in standard form:

[tex]6 x-3 y=5 \quad \Rightarrow \quad y=2 x-\frac{5}{3}[/tex]

A. The line moves away from the origin by a scale factor of 6, but its inclination still remains the same. Therefore, after any dilation, the slope of that line never changes.

Thus, the slope of the given line after dilation will be the same as the original slope, which is m = 2.

B. The x-intercept of the line before dilation will be given by substituting x = 0 in the given equation as shown below:

[tex]y=2(0)-\frac{5}{3}=-\frac{5}{3}[/tex]

Now, the y-intercept of the line after the dilation will be given by:

[tex]6\left(-\frac{5}{3}\right)=-10[/tex]

Kavya is surveying how seventh-grade students get to school. In her first-
period class, 10 out of 32 students ride the bus to school. There are 160
students in seventh grade. Based on her survey, how many seventh-grade
students can she predict ride the bus to school?
• A. 40
B. 138
• C. 50
• D. 512

Please help I’ll give brainlist to the first person to answer and the answer is correct please help!! Fast hurry!!!

Answers

The answer is 50
160:32=5
10 x 5 =50

There are 50 seventh-grade students who can she predict riding the bus to school.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that first-period class, 10 out of 32 students ride the bus to school. There are 160 students in seventh grade.

Therefore, we have;

160/32=5

10 x 5 =50

Thus, the answer is 50

Learn more about the unitary method, please visit the link given below;

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Please help!! Will mark brainlyest.

Answers

Answer:

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

Step-by-step explanation:

The answer would be 4 units to the right

Explaination:
This is bc -4 plus 4 equals 0
and on a grid if you go 4 to the right you will most definitely get to 0

The ratio of pencils to notebooks at a store is 5 to 3. Fill in the
The ratio of pencils to notebooks at a store is 5 to 3. Fill in the missing values to show the possible number of pencils and
notebooks.

Answers

Answer:

1st,15

2nd, 40

3rd, 36

Step-by-step explanation:

If p:n which is 5:3 = 8
1. 5=25
3=? =3*25/5
=15

2. 3=25
5=? 5*25/3
=40

3. 5=60
3=? 3*60/5
=36

what is the expression to (4×+3)+(-2×+4)

Answers

Answer:

4x(3-2)

Step-by-step explanation:

since in 2 groups, there are number 4 in common

Apply Distributive Law to achieve this.

The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.

Answers

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

helpppppppppppppppppppllssssssssssssssssss​

Answers

the answer is vertical angles
It is vertical angles! Have a good day

Darlene picked 7 apples. Juan picked 4 times as many as Darlene. How many apples did Juan pick?



What equation represents this situation?

Group of answer choices

7*4=a

7-4=a

a-7=4

a*4=7

Good luck

Answers

Answer:

ok, i think this would be.....a.

Step-by-step explanation: so i know 7x4=28  so 7*4=a    makes sense  cause a = 28

have a nice day

Owen is going on a multi-day hike up a large mountain. He wants to know what clothes he should bring for the higher elevation as he hikes. What clothes should Owen bring?

Answers

Answer:

Owen should wear thick, layered clothing thats will keep him warm

Example:Jackets,sweaters,heavy socks, gloves, benies, Balaclavas...ect

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Heavier Clothes, Since, The higher elevation will have cooler tem

The 8th term of a linear sequence is 18 and the 12th term is 26. Find the first term, the common difference and the 20th term

Answers

Answer:

see explanation

Step-by-step explanation:

the sequence is linear, that is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = 18 and a₁₂ = 26 , then

a₁ + 7d = 18 → (1)

a₁ + 11d = 26 → (2)

subtract (1) from (2) term by term to eliminate a₁

4d = 8 ( divide both sides by 4 )

d = 2

substitute d = 2 into (1) and solve for a₁

a₁ + 7(2) = 18

a₁ + 14 = 18 ( subtract 14 from both sides )

a₁ = 4

then

a₂₀ = 4 + (19 × 2) = 4 + 38 = 42

Find the perimeter of the triangle .

Answers

Answer:

P = 9x + 22

Step-by-step explanation:

Perimeter = sum of all sides

P = (3x + 11) + (3x + 11) + (3x)

P = 9x + 22

I hope this helps! God bless

Pls and help me with this !!!

Answers

Answer:

#20 is -20

#21 is -3

#22 is 36

Our sense of smell is responsible for ___ of our overall chocolate tasting experience. Group of answer choices 10% 30% 50% 70%

Answers

Answer:

70%

Step-by-step explanation:

Our sense of smell is responsible for 70% of our overall chocolate tasting experience.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

B  x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 45°O = [tex]x[/tex]A = [tex]y[/tex]H = [tex]3\sqrt{2}[/tex]

[tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]

[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]

[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]

[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]

[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]

[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]

A school has 24 teachers and
600 students

a. Write the ratio of teachers to students. Simplify it to its lowest terms.

b. To keep the same ratio of teachers to students, how many teachers should the school hire if the number of students increase to 800

Please do NOT answer with links!

Answers

Answer: a. 24:600

b. 53

Step-by-step explanation:

First simplify:

24:600

6:150

2:30

1:15

Which picture shows the inverse, f −1, of the function shown?

Domain: 8, 10, 12. Range: 6, 9, 3. 8 goes to 6; 10 goes to 9; 12 goes to 3.
CLEAR CHECK

Inverse of f. Domain: 8, 10, 12. Range: negative 6, negative 9, negative 3. 8 goes to negative 6; 10 goes to negative 9; 12 goes to negative 3.

Inverse of f. Domain: 6, 9, 3. Range: one-eighth, one-tenth, one-twelfth. 6 goes to one-eighth, 9 goes to one-tenth; 3 goes to one-twelfth.

Inverse of f. Domain: 8, 10, 12. Range: one-sixth, one-ninth, one-third. 8 goes to one-sixth; 10 goes to one-ninth; 12 goes to one-third.

Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Answers

Answer:

  (d)  Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Step-by-step explanation:

Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).

The inverse function will be defined by the ordered pairs with the input and output reversed:

  (6, 8), (10, 9), (3, 12)

This seems to be described by the last answer choice.

20 points!!! please help

Do 13, 14, 15, and 16

Answers

Answer:

13. 360 14. 1080 15. x=53 16. x=135

Step-by-step explanation:

Equation: (n-2)*180

For 13. all angles in a a quadrilateral add up to 360

For 14. 8 sides-2=6. 180*6=1080 degrees

For 15. 15+155+137=307. 360-307=53. x=53 degrees

For 16. 6 sides-2=4. 4*180=720. 90*2=180. 720-180=540. 540/4=135.

x=135

The Pyramid of Menkaure is a square pyramid located in Giza. The pyramid has a height of about 215 feet, a slant height of about 274 feet, and a base side length of about 339 feet. After a windstorm, an architect was tasked with inspecting the outer surfaces of the pyramid for damage. How many square feet does the architect need to inspect? Type the correct answer in the box. Use numerals instead of words. The architect will need to inspect square feet

Answers

Answer:

The architect will need to inspect 185,772 square feet.

Step-by-step explanation:

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

The total of 109327.5 feet² of the square area the architect needs to inspect.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle =  (1/2) × base × height.

⇒ (1/2)  × 339 × 215

36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

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