What is the lateral area of the pyramid

What Is The Lateral Area Of The Pyramid

Answers

Answer 1

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².


Related Questions


Which value of x will make these ratios equivalent

24/42=4/x

A.19
B.15
C.7
D.5

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It’s a srry if it’s not gone out here but it’s coo

Please help! Tell me the numbers that I have to add to demostrate the answer

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There u go n can cnjanckzkjzm de keel disc
For your comment that u made the answer to 167•52 is 8,684

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. You ask a friend to pick one without looking. What is the
probability that he picks one that is not red?

Answers

he’ll probably pick the blue marble

Answer:

8/12

5 (blue) +3 (orange) +4 (red) =12 (total)

5 (blue) +3 (orange)=8 (number of marbles that aren't red) or 12 (total) - 4 (red marbles)=8

or 66.6667%

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Answers

-2 (x + 3)

-2x-6

You just distribute the -2 to the x and 3

If f(x) = 2x + 5 then f(?) = 5
0
5
3
8

Answers

Answer:

0.

Step-by-step explanation:

When you multiply 2*0, it will be equal to 0. 0+5= 5.

Sun works in a bakery and wants to know how many ounces of flour are in 5 flour sacks. If each sack contains 52 lbs of flour, how much is the total weight of the flour in ounces 1lb = 16 oz

Answers

4,160
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Which algebraic expression is a trinomial

Answers

Answer:

The answer is the third option

Step-by-step explanation:

The correct answer is the third option.

Eight beads are strung in a necklace with a clasp, how many ways
can the beads be arranged?

Answers

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

Create a table and a graph from the equation y=4x

Answers

((((/((:):):!:!:$3$3$37;

I need some help with this

Answers

1st blank: 2x
2nd blank: 4x
3rd blank: 8
4th blank: 16
5th blank: 4

line q has a slope of 5/6 line r is a perpendicular to q what is the slope of line r

Answers

Answer:

y=13

Step-by-step explanation:

ndnjekskssj unlock ignition

Answer:

-6/5

Step-by-step explanation:

In order to find the slope of a line perpendicular to another, you have to take the negative reciprocal.

This basically means that you multiply the slope by -1 and flip it, switch the numerator and denominator, find the reciprocal, whatever you want to call it. (but reciprocal is the proper term for it)

In this case, after multiplying it by -1, it would be -5/6, and taking the reciprocal would make it -6/5.

five billion, twenty-four million, five and six thousandths

Answers

Answer:

5,024,000,005.006

Step-by-step explanation:

This is the standard form of five billion, twenty-four million, five and six thousandths.

standard form for five billion 24,000,005 and 6000s

help me pleaseee. I don’t understand why this wrong so it would be great if you could help?

Answers

Answer:

-4x + 5y = 40

Step-by-step explanation:

- move the expression to the left, so you want to get y - 4/5x = 8

-  multiply both sides so you get 5y - 4x = 40

- reorder the terms so you get -4x + 5y = 40

personally, I would change the signs afterwards to get 4x - 5y = -40, but the last thing I wrote was what was shown in that picture you sent. hope this helped :)

A camera company packs each camera in a cube­shaped box with side lengths of 1/2 ft. Then the company ships the cameras in a container with dimensions of 5 1/2 ft by 7 1/2 ft by 4 1/2 ft. What is the maximum number of camera boxes that will fit in the container?

Answers

The maximum number of camera boxes that can fit in the container is 1485.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The volume of each camera box is given by the cube of the side length, which is (1/2)³ = 1/8 cubic feet.

The volume of the container is given by multiplying its length, width, and height, which gives:

= 5 1/2 ft x 7 1/2 ft x 4 1/2 ft
= 5.5 ft x 7.5 ft x 4.5 ft
= 185.625 cubic feet

To find the maximum number of camera boxes that can fit in the container, we need to divide the volume of the container by the volume of each camera box:

185.625 cubic feet / (1/8 cubic feet per camera box) = 1485 camera boxes

Therefore, the maximum number of camera boxes that can fit in the container is 1485.

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what is the name of the shape depicted in the graph below
a. limaçon
b. rose
c. cardioid
d. lemniscate

Answers

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

What are Polar Curves?

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

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Answers

Question 1 is 5 and question 2 is -20

Please help me I'm so bad at math and doing AFDA really doesn't help.. Match each factor to its solution when zero

Answers

1st one is x= 5/2
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Find the coordinates of the 4th vertex d

Answers

Answer:

I think its b

Step-by-step explanation:

What is the equation of a circle with center (1,-4) and radius 2?
A. (x - 1)2 + (y +472 - 2
B. (x - 1)2 + (y + 4)2 - 4
C. (x + 1)2 + (y - 4) - 4
D. (x - 1)2-(y+4)2 - 4

Answers

Answer:

B. [tex](x-1)^2+(y+4)^2=4[/tex]

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r is given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Substituting the given values of the center and radius into this equation we get:

[tex](x-1)^2+(y-(-4)^2=2^2[/tex]

==> remove parenthesis

[tex](x-1)^2+(y+4)^2=2^2[/tex]

==> simplify exponents

[tex](x-1)^2+(y+4)^2=4[/tex]

The equation of a circle with center (1,-4) and radius (2) is [tex](x-1)^2+(y+4)^2=4[/tex]

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Plz help me well mark brainliest if correct!!

Answers

Answer:

Midnight (D)

Step-by-step explanation:

how might the area of a room affect the way the room is used?​

Answers

Answer:

The more area a room has the more things you can put in it

Step-by-step explanation:

The area of a room can affect how the room is used based on what you can put in the room or what fits in the room. Like a bedroom or office. If you have a room in your house that is supposed to be a bedroom but isn’t truly big enough to be a bedroom, you could turn it into an office.

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Answers

Step-by-step explanation:

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5749234

Step-by-step explanation:

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Step-by-step explanation:

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The function P(x) = 0.75x - 96 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor
makes. Find P(500), the profit the vendor makes from selling 500 pretzels.

Answers

Answer:

279

Step-by-step explanation:

First, you plug in 500 for " x " because it says P( 500 ).

P( 500 ) = 0.75 (500) -96

Then, you multiply / simplify

P ( 500 ) = (375) - 96

P ( 500 ) = 279

Finally, it gives you your answer for selling 500 pretzels

279

The satellite Space Explorer flies 32000 miles in 8 hours. Find the rate of change.

Answers

Answer:

4000 miles an hour

Step-by-step explanation:

32000 ÷ 8 = 4000 miles an hour

I need help please
I’m desperate

Answers

Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

Can someone please help with this problem ASAP!!!

Answers

Answer:

Step-by-step explanation:

(1,5 ) indicates that for every 1 book they make 5 dollars so the point means that for every book they sell they make 5 dollars.

Write (2p)^4 without exponents.

Answers

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

what does this : mean in math for 6th grade

Answers

Answer:

Average

Step-by-step explanation:

Mean is the average of a set of numbers that you are given.

To get the mean you need to add up all the numbers and divide that total number by the amount of numbers you had.

Answer please and explain

Answers

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

In the picture, the radius is 14, this stands for r in the equation givin. Also pie is equivalent to 3. You then plug in the numbers into the equation. You can see this in the work I gave. You then times all of the numbers together it get your final answer or 84
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