What is the lateral area of the regular pyramid if the area of the square base is 36 square cm and the slant height is 12 cm? options: 168 144 72 298

Answers

Answer 1

Step-by-step explanation:

Given that,

The area of the square base, A = 36 cm²

Slant height, s = 12 cm

We need to find the lateral area of the regular pyramid. The formula is :

[tex]S=A+\dfrac{1}{2}p\times s[/tex]

Where

A is the area of base

p is perimeter of base

s is slant height

Area of square, A = side²

So,

[tex]side=6\ cm[/tex]

Put values in the above formula.

[tex]S=36+\dfrac{1}{2}\times 4\times 6\times 12\\\\=36+144\\\\=180[/tex]

So, the lateral area of the regular pyramid is equal to 180 cm².


Related Questions

Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $9. On Saturday, Rob earned $32 babysitting. How much money did he save?



If he earned $32, he saved $____

Answers

Answer:

18 dollars

Step-by-step explanation:

32÷16=2

9×2=18

What fraction of the large square is the purple square?

Answers

Answer: I don't what you are asking it should be in color but if you don't know it is 1/7 of the square

Step-by-step explanation:

HELP ME PLEASE.
Find the slope of the line parallel to the following line.
Which of those?

y = 2x - 7
-2
1/2
2
-1/2

Answers

Answer:

2

Step-by-step explanation:

the slope of the given line is 2

parallel lines have the same slope so the answer is 2

Use the quadratic formula to find the roots of x 2 + 2x − 7

Answers

Answer:

-1+2[tex]\sqrt{2}[/tex], -1-2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?​

Answers

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

Please help! If you do you will get 'Brainliest'

Answers

Answer:

B) -1

Step-by-step explanation:

Move point A to one, it has moved 1/2

Move to 0 it has moved 1 1/2 from point A

Move to -1 it has moved 2 1/2 from point A

I’m having trouble understanding this, if anyone could help me understand it I’d greatly appreciate it.

Answers

Answer:

x = angle left of (4x+5) [ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇs]

So, x + (4x+5) =180° [sᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ ᴀɴɢʟᴇs]

[tex](4x + 5 )+ x = 180 \\ 4x + 5 + x = 180 \\ 5x + 5 = 180 \\ 5x = 180 - 5 \\ 5x = 175 \\ x = \frac{175}{5} \\ x = 35[/tex]

=> ˢᵒ ᵗʰᵉ ᵛᵃˡᵘᵉ ᵒᶠ ˣ ⁱˢ ᵉᵠᵘᵃˡ ᵗᵒ 35

the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?

Answers

Answer:14400

160

=

90

Step-by-step explanation: 90

π

=

90

π

 If you are using an approximation such as 3.14 for  

π

, multiply that by 90

Add  

160

2

to the circumference since the lengths of the rectangle are also part of the perimeter.

160

2

=

320

90

π

+

320

The triangles in the diagram are similar.
Vad
H
Which proportion is set up correctly?
GH
CA
GO
TA
GH
TC
GO
TA
ОО
AG
OH
CT
GO
TA

Answers

Answer:

GH/TC = GO/TA

Step-by-step explanation:

Find the volume of the hemisphere.

Answers

V(sphere) = 4/3 * π * r³ . Therefore, the volume of a hemisphere formula is as follows: V = V(sphere)/2 , V = 2/3 * π * r³ .

A pathway made of slate tiles measures​513​yards long. A tile measuring ​2​ feet is added to the end of the pathway.

What is the total length of the pathway now?


​513​ft

1023ft

18 ft

22​ ft

Answers

Answer:

22

Step-by-step explanation:

18 feet. The answers are actually 5 1/3 ft, 10 2/3 ft, 18 ft and 22 ft, with 18 feet being the correct choice.

HELPO PLS TYSMMM
I’m bad so help lol

Answers

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer above me is correct

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?​

Answers

I think it’s 2/11 because we have 11 balls and we can get 2 of the Same color either red or blue.

Are the pink arcs congruent?

Answers

Answer:

Yes, they are congruent.

Step-by-step explanation:

Supplementary angles equal up to 180°.

70+40 = 110

180 - 110 = 70.

Angle BAE is 70°.

And, angle ADC is 70° as well.

Therefore, the pink arcs are congruent.

pls pls pls I will give brainlist pls pls pls pls pls

define the following terms:

opinion ____________________________________________________________________________________________________________________________________


investigation
____________________________________________________________________________________________________________________________________

observation
____________________________________________________________________________________________________________________________________

evidence
____________________________________________________________________________________________________________________________________

conclusion
____________________________________________________________________________________________________________________________________

2. Describe how an incorrect conclusion might be drawn from incomplete or premature evidence. ______________________________________________________________________________________________________________________________________________________________________________________________________

3.A student makes a hypothesis that the water on the outside of the pan evaporates faster than on the inside. Describe an investigation the student could use to test this hypothesis. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Answer:

it can be drown by the investigator

Answer:

Here are examples:

opinion: what someone thinks, may not be fact all the time (may be biased)

investifgation: when one or more poeple or maybe you syourself or really anybody doing an inquiry or study or basically checking something like a detective example is crime scene investigation

observation: something you can tell using ur 5 senses - sight, smell, touch, hear, taste

evidence: information to back up a claim or something that happened

conclusion: what you can decide, conclude based on what the data u got

2. if you get wrong data, you may cconclude something very different than what something actually is.

3. I'm not sure about 3, but i hope the others help

maybe for 3 the student could see how hot the bottom of the pan is compared to the inside

Find the value of y.
120°

Answers

Answer:

y = 60°

Step-by-step explanation:

The tangent- chord angle y is half the measure of its intercepted arc , then

y = [tex]\frac{1}{2}[/tex] × 120° = 60°

The value of y is 60 °

What is the tangent- chord angle theorem?"The angle generated by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc," is another way to state the Tangent-Chord theorem. Since the angle measure of an intercepted arc is double that of the inscribed angle that subtends it, this is equivalent to what we have demonstrated.The measure of an angle formed by a tangent and a chord meeting at the point of tangency is half the measure of the intercepted arc.

Given , the angle is 120°

Now apply the  tangent- chord angle theorem, " a chord meeting at the point of tangency is half the measure of the intercepted "

y = 1/2 × 120°

y = 1/2 × 120° = 60°

Therefore, the value of angle y is 60°.

Learn more about the Tangent-Chord theorem brainly.com/question/2193714

#SPJ2


• 2. Find the probability that she gets a 5.*
Janet rolls a regular eight-sided die with numbers 1 to 8.
1/5
1/8
5/8
7/8

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the probability of getting 5 when Janet rolls a regular eight-sided die with numbers 1 to 8.

The formula for probability of getting an event is given by :

[tex]P=\dfrac{Favourable\ outcome}{Total\ no\ of\ outcomes}[/tex]

Here, favourable outcome = 1

Total outcomes = 8

So,

[tex]P=\dfrac{1}{8}[/tex]

So, the correct option is (b).

It's for my sister she wants me to do it HELP HER

Answers

Answer:

I think its the second one

Step-by-step explanation:

Sorry if im wrong

The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.

The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.

Answers

Answer:

Length of the shadow of player's sister is 5.25 feet.

Step-by-step explanation:

From the figure attached,

AB represents the basketball player and DE is his little sister.

Height of basketball player = 6.5 ft

Length of shadow of the player = 9.75 ft

Height of player's sister = 3.5 ft

Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]

[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]

x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]

x = 5.25 ft

Therefore, length of the shadow of player's sister is 5.25 feet.

can anyone help with this question

Answers

Answer:

162, sorry if this is wrong

Step-by-step explanation:

Joshua and Crystal opened
savings accounts on the same
day, each with an initial deposit
of $100.00. After two months,
Joshua's account shows a
balance of $67.25 and Crystal's
account shows a balance of
$131.97. Which account balance
changed by the greatest
amount? Why?
I
8
I’m stuck what is the answer?

Answers

Answer:

Joshua's account had a greater change.

Step-by-step explanation:

Both accounts had $100

Joshua's account now has $67.25 which means he used $32.75

Crystal's account now has $131.97 which means he saved $31.97.

Joshua had a greater change of balance.

Test Prep
Keshaun went to Staple Shack to buy a mew office printer. The
cost of the printer is $150. The store has an instant rebate of
15. HOW much will Keystan save by using the rebate?
$15.00
c50250
$135.00

Answers

Answer:

Keshuan will save 135.00  with the rebate price

$135 will be saved by using the rebate

10th grade level LT1

Answers

Don’t think anyone will do this for 5 points.

Answer:

36

AE / AD = AB / AC

51 / 51 + 17 = x / x + 12

51 / 68 = x / x + 12

51 ( x + 12) = 68x (After cross multiplication)

51x + 612 = 68x

612 = 68x - 51x

612 = 17x

x = 612/17 = 36

[tex]\mathtt{: )}[/tex]

Jayda is buying notebooks for school the cost of each notebook is $1.75 write an equation that shows the cost of Jada's notebook C in terms of the other notebooks N that she buys

Answers

Answer:

1.75*C=N

Step-by-step explanation:

N=Notebooks

C=Cost

N= 4

Can somebody help me with one of these i literally don’t get it.

Answers

Answer:

basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves

Step-by-step explanation:

Answer:

Step-by-step explanation:

Joel is mailing a large envelope to his cousin. The envelope has pictures inside, so he doesn't want to bend it. What is the maximum width for the mail slot???

Answers

Answer:

the maximum width of the mail slot is 25 cm.

u. can find it through phythagoras theorem

Answer:

25

Step-by-step explanation:

Use the pythagorean theorem. Here's how: Since a^2+b^2=c^2, 7^2+24^2=576+49= the square root of 625 which is 25.

The double number line shows that a water park
allows 18 people to go down their giant water slide
in 3 minutes. How long would it take 12 people to
go down the slide?


FAST RESPONSE PLEASE!!

Answers

the answer is two minutes because you need to divide 18 by three to see how many people per minutes enters the slide

Find the length of x.

Answers

You are post to find 110 minus the other number and you will get x

Each event uses a standard deck of playing cards. The cards are chosen at random and put back after each draw.
Match each event with its theoretical probability.
You choose a red card.
You choose the queen of hearts.
You choose a club.
You choose a 5, 6, or 7. 11 :: 3 13 52


PUT THEM IN ORDER! AND I'LL GIVE YOU "⭐"​

Answers

Answer:

See below

Step-by-step explanation:

The probability of choosing a red card is 1/2. Half of the cards are hearts/diamonds and half of the cards are clubs/spades.

The probability of choosing the queen of hearts is 1/52. There is one queen of hearts in a 52 card deck.

The probability of choosing a club is 1/4. 1/4 of the cards are clubs, 1/4 are spades, 1/4 are diamonds, 1/4 are hearts.

The probability of choosing a 5, 6, or 7 is 3/13. There is a 5, 6, 7 in all 4 sets, clubs, spades, hearts, and diamonds. So there are 12 total cards that either read 5, 6, or 7 out of the 52 total cards. 12/52 simplifies to 3/13.

PLEASE HELP ME WITH THIS I NEED IT DONE I'LL GIVE BRAINLIEST!!!!!!

PLEASE DONT SEND ME FILES OR LINKS. NO INCORRECT ANSWERS!!

Answers

These will be the answer

Answer:

Correct answer A

Step-by-step explanation:

40% model cars  of 45 models  is 18 model cars (the rest is model airplanes)

45-18 =27

27 model airplanes

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