Find the total surface area of the following
cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S.A. = [? ]n cm?
Answers
Answer:
[tex]S.A.=90\pi~cm^2[/tex]
Step-by-step explanation:
Surface Area of a Cone
Given a cone of base area B and slant height L, the surface area can be calculated with the formula:
[tex]S.A.=\pi rL +B[/tex]
The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:
[tex]B=\pi r^2[/tex]
[tex]B=\pi 5^2[/tex]
[tex]B=25\pi~cm^2[/tex]
The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:
[tex]L^2=5^2+12^2[/tex]
[tex]L^2=25+144=169[/tex]
Taking square roots
[tex]L = \sqrt{169}[/tex]
L = 13 cm
The surface area is:
[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]
Operating:
[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]
[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]
Answer:
90
Step-by-step explanation:
Related Questions
Solve.
5 (2 – 3) < 5W + 20
Answers
Answer:
W > -5
Step-by-step explanation:
5×(-1) < 5W + 20
-5 < 5W + 20
-25 < 5W
-5 < W
W > -5
A group of 10 peoples bought tickets to a reptile exhibit and paid a total of $130. What was the price of one ticket?
Answers
The members of a crew team can weigh no more than 165 pounds each. Write an inequality for the acceptable weights. Graph the solutions.
Answers
Answer: it would be 100 plus 65 = 165 hope this helped
Step-by-step explanation:
In 1 min I walked 90 steps. so the ratio is?
Answers
Answer:
The ratio is 1:90
Step-by-step explanation:
Every minute, you walk 90 steps
If you were outlining an essay using the sentences below, which one would you use as your thesis statement? O A. Train travel is more economical than car travel. B. Although there are advantages to both, train travel is superior to car travel O C. On a train you can relax, sleep, and do other activities you couldn't do if you were driving. OD. Riding on a train is safer than driving in a car.
Answers
Answer: I think it is D
heyo bros i need you're help here.........
Answers
Answer:
prime number number that are divisible by itself n 1
=10
Very easy to solve, hope this helps!:)
I need help
what is 2+4+1
im desperate
Answers
Answer:
7
Step-by-step explanation:
2+4+1 = 6+1 = 7
have a great day!
Multiply the polynomial expressions below.
(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15
Answers
Answer:
A. 14x⁴ - 18x³ + 43x² + 24x - 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpandingStep-by-step explanation:
Step 1: Define expression
(7x + 5)(2x³ - 4x² + 9x - 3)
Step 2: Expand
Distribute 7x: 14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5: 14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms: 14x⁴ - 18x³ + 43x² + 24x - 15Lindsey’s goal is to sell at least 35 candles at each of 15 craft fairs.
She makes 24 candles each day for 20 days.
Explain whether Lindsey makes enough candles to reach her goal.
Group of answer choices
A.Lindsay makes 48 candles. She divides 48 by 24 to get 2. She does make enough candles.
B.Lindsay makes 440 candles. She divides 440 by 15 to get 29 R4. She does make enough candles.
C.Lindsay makes 44 candles. She divides 44 by 20 to get 2R 4. She does not make enough candles.
D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.
Answers
Answer: D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.
Step-by-step explanation: 24 times 20 is 480. That is how many she made all together.
Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles and this can be determined by using the arithmetic operations.
Given :
Lindsey’s goal is to sell at least 35 candles at each of the 15 craft fairs. She makes 24 candles each day for 20 days.The following steps can be used in order to determine whether Lindsey makes enough candles to reach her goal:
Step 1 - The arithmetic operations can be used in order to determine whether Lindsey makes enough candles to reach her goal.
Step 2 - According to the given data, Lindsey makes 24 candles each day for 20 days. So, the total number of candles she makes at the end of 20 days is:
[tex]=24\times 20[/tex]
= 480 candles
Step 3 - Also it is given that Lindsey’s goal is to sell at least 35 candles at each of 15 craft fairs. So, the total candles required is:
[tex]=35\times 15[/tex]
= 525 candles
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/25834626
Solve: 0.072 = w - 3.6 w = _____
Answers
Answer:
Step-by-step explanation:
0.072=w-3.6w
w= -0.0276923
Answer:
w = 3.672
Step-by-step explanation:
0.072 = w - 3.6
0.072 + 3.6 = w
3.672 = w
Find the value of x that makes the equatlon true:
11x=143
Answers
Answer:
11(13)=143
Step-by-step explanation:
i divided 143 with 11 and got 13
your welcome for the help :D
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Describe how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.
(Sorry if this is easy, I'm bad at math.)
(Written response, please help me!!)
Answers
Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.
Step-by-step explanation:7=7x-9
Answer:
Personally I always do the smallest variable in order to make it easier
Step-by-step explanation:
in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9
from there you would add 9 to both sides and get 16 = 7x
then x = 2.29 (it's rounded up from 2.285...)
Enter the number in scientific notation.
4,800,000,000,000 =
x10
Answers
Answer:
4.8 x 10^12
Step-by-step explanation:
Move the decimal to the second space so:
4.800000000000
Then count how many spaces the decimal moved so:
12
Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.
Step-by-step explanation:
4,800,000,000,000 = 4.8 x 10^12
This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Where is the angle of depression?
Where is the angle of elevation?
How far apart are the two buildings?
What’s the height of the taller building?
Answers
Answer:
angle of elevation is at top and depresseion on bottom.
Step-by-step explanation:
far apart and height is calculated with more information
Halp, the answer is either A, B, C, or D
Answers
Answer:
D
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
ASAP plzzz thanks
What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15
Answers
Answer:
its 15 ur counting by 3's
Step-by-step explanation:
Answer:
it is 15
Step-by-step explanation:
just go by 3's 3,6,9,12,15,18,21,24,27,30
A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?
Answers
Answer:
I think it is 8.
Step-by-step explanation:
But I might be wrong.
Answer:
36 sides
Step-by-step explanation:
360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.
.53х^2 – .6х^3
Standard form
Answers
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
A group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. If they continue at this rate, how long should it take them to travel 10 miles?
Answers
Answer:
4 hours
Step-by-step explanation:
5miles /2 hours=10miles/x(proportion)
20miles=5x
x=4
so 4 hours.
Hope this helps :D
If group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. It took 4hrs them to travel 10 miles.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A group of boy scouts are hiking the Appalachian Trail.
They are traveling at a rate of 5 miles every 2 hours
We need to find how long will it take for them to travel 10 miles at the same rate.
Let x be the required time
5/2=10/x
Apply cross multiplication
5x=20
Divide both sides by 5
x=4
Hence it took for them 4 hours to travel 10 miles of distance
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ5
how many solutions does 3x+5=7x-20 have?
Answers
Answer:
1
Step-by-step explanation:
hey there,
< 3x-7x = -20-5
-4x = -25
x = [tex]\frac{25}{4}[/tex]
This isn't a square root or anything like that, so you would really only have 1 answer. I'm not sure what your teacher's referring to, though, but maybe they want decimals/mixed fractions?
But I would just put 1 if I were you. >
Hope this helped! Feel free to ask anything else.
You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?
Answers
Answer:
10 ft 9 in
Step-by-step explanation:
If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
The total distance according to the given condition is,
= 12 × 10 3/4 inches
= 12 × 43/4
= 129 inches
Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Round 10,982 to the nearest thousand
Answers
Answer: 11,000 - rounded to the nearest thousand!
Expand.
a)3(x - 2)
b)2(y + 4)
c)8(3 + x)
Answers
Answer:
[tex]a \: 3x - 6 \\ b \: 2y + 8 \\ c \: 8x + 24[/tex]
Step-by-step explanation:
All we have to do is multiply accordingly. I'll use a for an example.
So for the value before the perentheses we multiply that by all of the values in the perentheses.
[tex]3x \: and \: - 6[/tex]
So the correct answer would be
[tex]3x - 6[/tex]
You can use the same strategy for all the questions, but I'll just answer those straight away.
Also you may notice I put the variable before the constant in question c because the variable should always go before the constant in expressions and equations.
What is x+4=10 answer fast
Answers
Answer:
x=6
Step-by-step explanation:
10-4=6
Does anyone know the answer to this?
Answers
Answer:
<ABD is 73 ...work below
Step-by-step explanation:
5x + 18 + 4x +5 = 122
9x + 23 = 122
9x = 99
x = 11
no since we got x...
5(11) + 18
73
What percent of the whole number frm 1 to 50 are multiple of 3.
Answers
Answer:
32%
Step-by-step explanation:
List of multiples of 3 in 1 to 50:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
Total number: 16
16/50
=32%
PLS GIVE BRAINLIEST
factorise
x² - 7x +10
Answers
Lmk if you need step by step
Please can someone help me?? I’ll give brainliest to the correct answer!!
Which situation does NOT show causation?
A) When the student population at a school increases, the number of teachers at the school increases
B) when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving
C) When there are more workers on a project, the project is completed in less time.
D) When there is more protein in an athlete’s diet, the athlete scores more points in a game.
Answers
Answer: D
Step-by-step explanation:
Grace can read 840 words in 7 minutes. At that rate, how many words can she read in one hour
Answers
Answer:
5740
Step-by-step explanation:
Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?
Answers
Answer:
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Step-by-step explanation:
Science club flyers = 12
Music club flyers = 18
He wants to make sure that no flyers are left over.
Find the highest common factor of 12 and 18
12 = 1, 2, 3, 4, 6 and 12
18 = 1, 2, 3, 6, 9 and 18
The highest common factor of 12 and 18 is 6
The greatest number of locations that Leon can post at is 6 locations
Science club flyers = 12
= 12 / 6
= 2
Leon will post 2 science club flyers in each location
Music club flyers = 18
= 18 / 6
= 3
Leon will post 3 music club flyers in each location
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations