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

How much is 2/9th of 234.900?

Answers

Given:

The number is 234.900.

To find:

The [tex]\dfrac{2}{9}[/tex]th of 234.900.

Solution:

We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.

[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]

[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]

[tex]\text{Required value}=52.200[/tex]

Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.

Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =

Answers

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

hi can anyone please help me with number 10

Answers

Answer: (1.5, 1.2) are the coordinates and the distance is 4 graph across the paper.

Step-by-step explanation:

If you reflect it across the x-axis you get two positives and no negative becouse in a graph paper there are four diffrent groups your nswer is on the top right side.

Milo visited an amusement park for 3 hours. He rodes rides for 50 minutes, played carnival games for 40 minutes, and ate food for 30 minutes. He spent the rest of the time waiting in lines. How much times did Milo spend waiting in lines?

Answers

Answer:

60 minutes

Step-by-step explanation:

3 hours = 180 minutes

180 - (50 + 40 + 30) = 180 - 120 = 60

Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.

Answers

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.

please help again once again 10 POINTS AND 15!

Answers

40 cubic units, just count them my guy

you got a chunk of 32 and a chunk that's 8

Natalie is almost always on time for class. In fact, the probability that she is on time for a given class is 90%. If there are 50 classes during the semester, what is the best estimate of the number of times out of 50 that Natalie is on time to class?

Answers

Answer:

45 out of 50

Step-by-step explanation:

First, 90/100 x 50 which = 45.

You could also do 5 x 9 which equals 45.

Hope this helps!!

.
In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not
equivalent, show how to change one expression to make them equivalent.
A
B
A.
3x-2x +0.5x
1.
1.5x
B.
3(x + 4)-2(x + 4)
2. x + 3
C.
6(x+4)-2(x + 5)
3. 2(2x + 7)
D.
3(x + 4)-2(x + 4) + 0.5(x + 4)
4. 1.5
For each situation write an eynression for the new balance using as few terms as possible

Answers

A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.

B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.

C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.

D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).

Suppose f(x) = x2 and g(x)=(6)
. Which statement best compares the
graph of g(x) with the graph of f(x)?
O A. The graph of g(x).js the graph of f(x) horizontally stretched by a
factor of 5.
O B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 5.
O c. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 5.
O D. The graph of g(x) is the graph of f(x) shifted
units left.

Answers

Answer:

In Exercises 1-9, describe the transformation of f(x) = x² represented by g. ... 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, ... graph of g be a horizontal shrink by a factor of the graph of f(x) = x2 x 2x ... 4(x-3)?–4.

Step-by-step explanation:

2+2(8)-12=
whats the answer?

Answers

Answer:

2 + 2(8) - 12 =?

2 + 16 - 12 =?

2 + 4 = 6.

Answer:

[tex]2 + 2(8) - 12 \\ = 2 + 16 - 12 \\ = 2 + 4 \\ = 6 \\ \\ 6 \: is \: the \: correct \: answer[/tex]

Hope it helps!

Convert 451 degrees Fahrenheit to Celsius

Answers

Answer:

232.778

Step-by-step explanation:

Answer:

232.778 °C

Never forget your symbols.

11. Multi-Step Ben gets on a bus at
Main Street at 10:13 A.N. The bus
arrives at Elm Street at 10:27 A.M. It
waits for 10 minutes. Then it arrives
at Broadway at 10:50 A.M. How long
is Ben on the bus if he rides from
Main Street to Broadway?

Answers

Answer:

41 minutes

Step-by-step explanation:

14+10+17= 41 minutes

A student paid 256.37 in school fees how much has he paid to the nearest hundred

Answers

Answer:

300

Step-by-step explanation:

256.37 5 and 6 is high enoughh to boost that 2 up to a 3

Answer:

uhhh 256.37 is rounded to the nearest hundreth

Unless you mean hundred thwn it would be 300

Does anyone know the answer ? :(

Answers

Answer:

If it a khan you can go take a hint and try to find it

Find the general term of series 1/2-1+2-4+

Answers

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.

Four points are graphed on the number line below.



Which point is located closest to the value of -v5?
A point w
B. point x
C. point Y
D. point Z

Answers

Answer:

It's close between Y and Z, but I'd go with Z

Step-by-step explanation:

[tex]-\sqrt{5}[/tex]≈-2.2360679775

4x ^ 2 + 300 = 1, 596 help solve for the x please show work I will mark brainliest

Answers

Answer:

x=18 OR x=-18

Step-by-step explanation:

[tex]4x^2=1296\\x^2=324\\x=+-sqrt(234)\\x=18 OR x=-18[/tex]

Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?

A: Every fifth student that enters her classroom

B: Her Honors class

C: 5 boys in each of her class

D: At the end of the day, ask teachers what they think student will like

Answers

Answer:

A

Step-by-step explanation:

Because it is a random sample

What is the area of rectangle PQRS?



A.
20.25 square inches
B.
21.375 square inches
C.
27.00 square inches
D.
42.75 square inches

Answers

Answer:

D

Step-by-step explanation:

(4.5+3+2) x4.5 = 42.75

hope this helps

Answer:

D. 42.75 square inches

Step-by-step explanation:

Area = height x width

Height = 4.5 inches

Width = 3 + 4.5 + 2 = 9.5 inches

4.5 x 9.5 = 42.75 square inches

What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)

A. 14,000 g

B. 140 g

C. 1.4 g

D. 1,400 g

Answers

Answer:

D

Step-by-step explanation:

Answer:

it is D im 99% sure

Step-by-step explanation:

dddddddd

Would appreciate the help

Answers

Answer:

x = 13

Step-by-step explanation:

Hope it helps you!........

Answer:

Hey!

Here, you can use the Pythagoras theorem:-

[tex]Hypotenuse^{2} = base^{2} +altitude^{2}[/tex]

Hypotenuse is x

Altitude is 12 cm.

Base is 5 cm.

Substituting the given values in the Pythagoras equation:-

[tex]x^{2} = 5^{2} +12^{2}[/tex]

[tex]x^{2} = 25 + 144[/tex]

[tex]x = \sqrt{25+144}[/tex]

[tex]x= \sqrt{169}[/tex]

x = 13cm

(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm

Answers

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

I need help pls pls pls

Answers

Answer:

e. 55 miles hope that helped

Kira rode 20 miles. You can see on the hours 3-4 it starts from 35 and goes to 55 which is 20 miles :)
Hope this helps

Jerneii writes the set of ordered pairs below. The set represents a function.
{(3,-3), (5,0), (-1, 4), (-6, 7)}
Jerneii claims that she can add any point to the set and have the set still represent a function.
Which of the following points can be used to show that Jerneii's claim is incorrect?
O(-6, 1)
O (9,8)
O (0,5)
O (1,7)

Answers

Answer:

WOMP WOMP WOMP!!!

Step-by-step explanation:

(PLEASE ANSWER FAST)

Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?

(PLEASE ANSWER FAST)

Answers

Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

A man is in a lighthouse tower that is 65 ft. He spots a ship at sea at an angle of depression of 20°. How far is the ship from the base of the lighthouse to the nearest foot?

Answers

65*tan(20)=23.658 or 24

Answer:

24 feet

Step-by-step explanation:

distance away is x

tan(20)=x/65

65*tan(20)=x

x=23.65806... feet

round to the nearest foot

x=24

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).​

Answers

Answer:

603.71

Step-by-step explanation:

Use a function to solve this.

F(x)

Now lets put in the data for the function.

We have 910, which is the orginal number. This should be the first number, and will have to be multiplyied by the other numbers in the function to find the answer. I think of all these numbers like the things in a penut butter and jelly sandwhich, is sounds very nice since I am hungry.

F(x) = 910 *

Next, we have 5%, which is what we are taking from 910. So, we can think of this as 910 being multiplyied by 0.95. Lets add this to our growing penut butter and jelly sandwhich. The reason I put this into a parenthese is so that the 910

F(x) = 910 * (0.95)

Now for the last step, we must add in the years. So, eahc year we reduce the 910 by 5%, and we need to do this 8 years This means that the 910 times 0.95 must repeat 8 times. To do this, we need ot use exponent. This exponent is 8. So, here is our completed function:

F(x) = 910 * (0.95^8)

Lets plug this into a calculator, since doing this out on paper would be a real pain and will take far to long. I would probably die of hunger and never get a penut butter and jelly sandwhich if I did this out on paper.

In the end, you should get 603.7125 blah blah blah it goes on for a long time. I attached a file of what it looks like in the calculator if you want some evidence.

Oh, you said you want it rounded to the nearest whole number. Well, lets remember our rounding here. Anything below 5 goes down, anything 5 and higher goes up. Since we have 603.7125, we can round that too 603.71

Answer:

603.71

Ti⊂k∫∈s ω∅∅p

Im gonna go grab my PBJ now.

HELP URGENT PLEASSSSSSSSSSSSSSEEEEEEEEEEEEEEEE

Answers

Answer:

1 4/5 pounds each

Step-by-step explanation:

9/5 = 1 4/5

5) True or False: Absolute Value can never be negative * O True False​

Answers

Answer:

True

Step-by-step explanation:

Absolute value tells the distance a number is from 0.

[tex]|7|=7[/tex] because 7 is 7 units away from 0.

[tex]|-13|=13[/tex] because -13 is 13 units away from 0.

[tex]|0|=0[/tex] because 0 is 0 units away from 0

Absolute value always produces a number greater than or equal to 0, never negative.

a)How many vertices does it have?
(b) How many edges (lateral edges plus base edges) does it have?
(c)How many faces (lateral faces plus bases) does it have?

Answers

5 vertices

7 edges

5 faces
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