Mathematics High School

the height of a cone is 16 cm and its base radius is 12 cm. find the curved surface area and the total surface area of the cone​

Answers

Answer 1

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

The Height Of A Cone Is 16 Cm And Its Base Radius Is 12 Cm. Find The Curved Surface Area And The Total
Answer 2

Given :

The height of a cone is 16 cm.Its base radius is 12 cm.

⠀

To Find :

The curved surface area of the cone. The total surface area of the cone.

⠀

Solution :

h = 16 cmr = 12 cm

Here,

h is denoted as height. r is denoted as radius.

So, from l² = h² + r², we have :

⠀

The slang height of the cone is represented by l.

⠀

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

⠀

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

⠀

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]

Related Questions

I need help on number 7 I don’t understand it

Answers

Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.

What is the y-value when x equals-12? y=-200 - 6(x)

Answers

Step-by-step explanation:

y= -200 - 72

y= -272

because -a - b = -x

this is a formula

i’m not to sure what to do here.. can someone help? this assignment is 20 points!

Answers

Y-intercept of line a is -1
Y-intercept of line b is 3
Interception is (2,5)

The y intercept is where the line hits the y axis

Insurers use a process of selecting and classifying insurance applicants to prevent individuals who have a higher-than-average probability of loss from obtaining insurance at average rates. This process is called

Answers

Answer:

This process is called

Producing. underwriting.

Step-by-step explanation:

What is the difference between the 15th and the 2nd square number?

Answers

Answer: [tex]15^{2} - 12^{2} \\= 81 = 9^{2}[/tex]

What is the slope of the line that passes through the points (−1,−10) and (-1, -2)
? Write your answer in simplest form.

Answers

Answer: There is no slope

Step-by-step explanation:

These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.

Identify the range of the function shown in the graph

Answers

Answer:

a

Step-by-step explanation:

For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.

Answers

15. Subtract the smallest number from the largest

Can someone explain this question to me please

Answers

you plug in the (x,y) from the graph into the solution, once you solve the solution if those two numbers equal your -4, then it is a solution

Replace x in y in the equation and see if it is true:

5x + 3y = -4

5(-5) + 3(7) = -25 + 21 = -4  

(-5,7) is a solution

5(1) + 3(-3) = 5 + -9 = -4

(1,-3) is a solution

pl.z hel..p m.e Si r
mat.h geom.etry ques.tion....​

Answers

[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]

[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]

[tex]\\ \rm\Rrightarrow 10x=160[/tex]

[tex]\\ \rm\Rrightarrow x=16[/tex]

Now

z=7x+10=7(16)+10=112+10=122°y=3x+10=3(16)+10=48+10=58°

Answer:

y = 58°

z = 122°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore,

(7x + 10) + y = 180

(3x + 10) + z = 180

Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.

Therefore,

y = (3x + 10)

z = (7x + 10)

Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:

⇒ (7x + 10) + (3x + 10) = 180

⇒ 10x + 20 = 180

⇒ 10x = 160

⇒ x = 16

Calculate angle y and angle z by substituting the found value for x into their equations:

y = 3(16) + 10 = 58°

z = 7(16) + 10 = 122°

Re-write the quadratic function below in Standard Form
y = 2(x – 5)2 – 3

Answers

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13

after a tourist covers 36% of the lenght of a route, he notices that he still has 240 km to park. What is the length of the route?​

Answers

Answer:

375km

Step-by-step explanation:

The tourist has already covered 3% of the journey.

So the remaining distance to be covered is 64% f the total journey.

(100% - 36% = 64%)

Therefore 64% of the journey = 240km

Then 100% of the journey:

  y km --> 100%

  240 km --> 64%

Total length of the route = 240 km * (100/64) = 375km

If x = 9 and y = -3, evaluate the following expression: = 6x - 8y ​

Answers

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

I will give brainliest who ever answer this question:) Thank you!

Answers

Answer:

2(x-4)+2(2x+5)

Step-by-step explanation:

The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.

Answer:

P = 2(2x+5) + 2(x-4)

Step-by-step explanation:

Perimeter is found by adding all sides

(2x+5) + (2x+5) + (x-4) + (x-4)

Notice there are two sets of sides.

E
Rrrrrrrerererererererere

Answers

Answer:ssssssssssuuuuuuupp

Step-by-step explanation:

Hi there!! Tyyyyysmmm

please answer B and C for me, i already know A.

Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
A. What is the probability that the first player does not get a blue character?

B. The first player gets a blue character. What is the probability that the
second player also gets a blue character?

C. Both the first and second players get blue characters. What is the
probability that the third player does not get a blue character?

Answers

Answer: B: 4/13, C: 3/4

B:

There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.

C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.


HELPPP!!! BRAINLEST??

Answers

Answer:

1/3

Step-by-step explanation:

1 cup and 6 hours (5) over total (15)

5/15 simplifies to 1/3

1/3 would be your answer to this question

Answer and you worlds smartiest.

Answers

Answer:

A.

Step-by-step explanation:

By using elimination, you get 0 = 1, which isn't a solution.

Let me know if this helped, brainly is appreciated <3

Answer:

The first answer choice (3x + y = 8 and 3x + y = 9)

Step-by-step explanation:

You can't have 3x + y equal 8 and 9.

It must only be 1 value.

mia picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake how many cups does she needs for the whole cake

Answers

Answer:

to make the full cake the strawberries required will be (4/3) cups.

Step-by-step explanation:

Find the circumference of the circle use 3.14 for r=3ft

Answers

Answer:

[tex]circumference \: = 2 \times 3.14 \times 3 = 18.84[/tex]


1. Lennox is in NYC and has $10 to get to his destination. The taxi charges $0.75 per mile with
a flat fee of $2.35. How many miles can he travel

Answers

Answer:

(10-2.35)/.75 =10.2 miles.

Step-by-step explanation:

please help, don’t know how to do this

Answers

Answer:

-3=-2 -2=-1 -1=0 0=1 1=2 2=3 3=4

Step-by-step explanation:

You add one to each of the listed numbers due to the question being x+1 so you take all of your x´s and add one raising their amount up by 1

Does anyone know the answer for 7 and 8?

Answers

Answer:

7) A    8) C

Step-by-step explanation:

number 7 tells us that y=x+1

so we just basically plug it in

2x+3(x+1)=4  Answer: A

to eliminate x's in number 8, we have to multiply one of the equations by -1

let's multiply the second one

4x+3y=6

4x ·-1-y·1=2·-1

4x+3y=6

-4x+y=-2

x's eliminate

4y=4, meaning that the answer is C

Pls help!

Find the perimeter and area the figure.


last question i Promise! :)

Answers

Answer:

Perimeter: 37.4

Area: 74.1

Step-by-step explanation:

Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4

Area is 5.7*13 = 74.1

Let me know if this helped! Brainliest is appreicated <3

In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?

A) a n = 8n − 15
B) a n = −8n − 15
C) a n = 8n − 23
D) a n = −8n − 23​

Answers

Answer:

C

Step-by-step explanation:

A) a(n) = 8n - 15

this is incorrect because if n = 3, then a = 9 not 1.

B) a(n) = -8n-15

this is incorrect because if n = 3, then a = -39 not 1.

C) a(n) = 8n-23

this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.

D) a(n) = -8n-23

this is incorrect because if n = 3, then a = -47 not 1.

Hope this helps!

Also, please mark me as brainliest!

What Is the coordinates for this translation 6 units left and 3 units down......

Answers

Answer:

Step-by-step explanation:

PLEASEE HELP!!

Write and equation for this graph in slope- intercept form.

Answers

-2/1. You find two point that go on the line and if it’s going down it’s negative

Answer:

-1.25x+2

Step-by-step explanation:

x intercept = 2.5

y intercept = 2

0-y intercept/x intercept-0 = m

0-2.5/2-0 = -1.25

Equation form:

y = m*x+b where b is  the y intercept.

m = -1.25

c = 2

To put it all together,

y = -1.25x+2

X=1 and x=3 write the quadratic equation

Answers

x2^-3x+1

Step-by-step explanation:

All you have to do is the 3 Forms of Quadratic Equations

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

sean had 40 red marbles and 36 green marbles.he won some more red marbles and the number of green marbles is now 2/5 of sean total marbles. how many red marbles did he win

Answers

Answer:

14

Step-by-step explanation:

*Notice that number of green marbles did not change throughout

Therefore,

36 green marbles -> 2/5 of Sean total marbles

Sean's total marbles = 36/2 *5 = 90

Number of red marbles won = 90-36-40 = 14

Multi-Step Find the angle measures of each inscribed quadrilateral.
10-13 20 points please help

Answers

The angle measure of each inscribed quadrilateral is as follows;

10

∠P = 90°

∠R = 90°

∠Q = 140°

∠S = 40°

11.

∠A = 70°

∠C = 110°

∠ B  = 115°

∠D = 55°

12.

∠B = 100°

∠D = 80°

∠E = 141°

∠C = 39°

13.

∠V = 101°

∠T  = 79°

∠U = 86°

∠W = 94°

Cyclic Quadrilateral

A cyclic quadrilateral has all it vertices on the circumferences of the circle .   opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows

10.

5x + 20 + 7x - 8 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = 168 / 12

x = 14

Therefore,

∠P = 5x + 20 = 5(14) + 20 = 90°∠R = 90°∠Q = 10x = 10(14) = 140°∠S = 40°

11.

4z - 10 + 10 + 5z = 180

9z = 180

z = 20

Therefore,

∠A = 4z - 10 = 4(20) - 10 = 70°∠C = 110°∠ B = 6z - 5  = 6(20) - 5 = 115°∠D = 55°

12.

1 / 2 z + 1 / 4 z + 30 = 180

3 / 4 z + 30 = 180

3 / 4 z = 150

3z = 600

z = 600 / 3

z = 200

Therefore,

∠B = z / 2 = 200 / 2 = 100°∠D = z / 4 + 30 = 200 / 4 + 30 = 80°∠E = z - 59 = 200 - 59 = 141°∠C = 39°

13.

15y - 4 + 12y - 5 = 180

27y = 180 + 9

y = 189 / 27

y = 7

14 + 4x + 6x - 14 = 180

10x = 180

x = 18

Therefore,

∠V = 15y  - 4 = = 101°∠T  = 79°∠U = 14 + 4x= 14 + 72= 86°∠W = 94°

learn more on quadrilateral here: https://brainly.com/question/9177423

Other Questions
Darren and his friend save money for vacation Darren start with $120 in savings each week Darren add $40 to savings Darrens friend Also begins with $120 in savings but saves at a faster rate than Darren create an equation that could represent the amount of money Y in dollars that Darrens friend sees vacation after X weeks Please please please help me 1. Trey just planted a small tree. He wanted to help it grow straight so he anchored the tree to the ground in three places using equal lengths of wire. The wires are tied to the tree 8 feet above the base of the tree. If Trey anchored each wire to the ground 6 feet from the base of the tree, what length of wire, in feet, is required for each anchor? Which of the following would increase the speed of the rock cycle?O Increased rainfallO Decreased sunlight O Decreased Earth temperature. Longhorn High School opens its door in 2005 with 800 students. The school grows 5% every year. How long will it take for the school to reach 3000 students? What is the value of f(2)A) -1B) -0.75C) 3D) 12 Read the following passage and complete the sentences with NO MORE THAN THREE WORDS.A study carried out in Germany has found that chocolate may be good for your heart. This is fantastic news for all chocolate lovers. The extensive research was conducted over eight years. The research team followed the chocolate-eating habits and health of almost 20,000 people. They compared how much chocolate was in their diet to the number of heart attacks and strokes people had. Lead researcher Brian Buijsse said: "The good news is that chocolate is not as bad as we used to think, and may even lower the risk of heart disease and stroke." Mr Buijsse said his team found that dark chocolate was the healthiest kind to eat: "Dark chocolate exhibits the greatest effects, milk chocolate fewer, and white chocolate no effects, he said.The German study showed that people who ate the most chocolate (at least one bar per week) reduced their risk of having a heart attack by 27 per cent. The risk of suffering a stroke was cut by as much as 48 per cent. Nutrition experts believe that natural compounds in chocolate called flavonols are good for our heart. Flavonols also help reduce blood pressureThey are found in cocoa beans so dark chocolate (which has more cocoa) contains more of them than milk chocolate (which has more fat). Buijsse wams people not to suddenly eat lots of chocolate: "Eating higher amounts ill most likely result in weight gain. If people start eating small amounts of chocolate, it should replace something else, preferably other high-calone sweets or snacks.1. The extensive research about chocolate lasted .....................2. According to researchers,.................is healthier than any other kinds of chocolate.3. People who ate the most chocolate reduced by 27 percent their risk of having..............4. The natural compounds in chocolate called flavonols are good for our heart and also help..............5. Eating higher amounts will possibly cause............. what is the fertility rate of japan Metals expand on____ and contract on _____ To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.70 per hour. The history club wants to spend less than $82.30 on renting the meeting room.What are the possible amounts of time for which they could rent the meeting room?Use for the number of hours the meeting room is rented, and solve your inequality for . answer for points !!!!!!! The bearing of P from Q is 046.The bearing of R from Q is 124.QR = QP.Work out the bearing of R from P. HELPPP PLEASE I"LL GIVE BRAINLEST TO THE FIRST PERSON WHO ANWSERS IT CORRECTLY !!!!!!!!!!!!!!!!!! Based on the thesaurus entry and the context of the sentence, use the drop-down menus to choose the best synonym for "hurdle" in each sentence. Use an online search engine to find a trusted online dictionary, then search and check the synonym definitions.The runners passed over each hurdle in a flash.Problem, Barrier , Drag .The largest hurdle in my plan to buy a car was lack of money.Problem, Barrier, Drag . Can somebody give me answers for these two questions. Who was the inventor of the blood tester Classification of computer Purpose personality ? (PLS HURRY literally begging) which of the following describe the governments of classical civilization1- they were able to adapt and change over time2- they struggle to manage the affairs of the people3- they cannot create an effective system of laws The plotadescribes the characters in a storybis what happens in a storytells about the author Do you believe that day light saving time should be permanent? Why or why not ? Must respond with at least 2 paragraphs I need help ASAP, please.. Name two sodium salts that may be prepared by reacting sodium hydroxide with dilute sulphuric acid.