Answers
Step-by-step explanation:
lateral surface area here = πrl
r = 10
l = √h²+r²= √ 24²+ 10² = 26
lateral surface area = 10 × 26 × π
= 260π in²
hope this will be helpful to you .
plz mark my answer as brainlist if you find it useful.
Answer:
The lateral area of cone is 260π in².
Step-by-step explanation:
Given : [tex]\small\blue\bull[/tex] Height of cone = 24 in.[tex]\small\blue\bull[/tex] Radius of cone = 10 in.[tex]\begin{gathered}\end{gathered}[/tex]
To Find : [tex]\small\blue\bull[/tex] Slant height of cone [tex]\small\blue\bull[/tex] Lateral surface area of cone[tex]\begin{gathered}\end{gathered}[/tex]
Using Formulas :[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]
[tex]\pink\star[/tex] l = slant height [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] h = height[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]
[tex]\pink\star[/tex] La = Lateral area[tex]\pink\star[/tex] π = 3.14 [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] l = slant height[tex]\begin{gathered}\end{gathered}[/tex]
Solution :Finding the slant height of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]
Hence, the slant height of cone is 26 in.
[tex]\begin{gathered}\end{gathered}[/tex]
Now, finding the lateral area of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]
Therefore, the lateral area of cone is 260π in².
[tex]\rule{300}{2.5}[/tex]
Related Questions
A triangle has one 86° angle and two 47° angles. What kind of triangle is it?
Answers
Answer:
Isosceles triangle
Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3 4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need? A. 6 3 4 feet B. 10 3 4 feet C. 13 1 2 feet D. 21 1 2 feet
Answers
Answer:
D. 21 1/2 feet
Step-by-step explanation:
The total length of fencing, in feet, that Bethany will need is 13 1/2 feet.
What is the total length of fencing needed?The total length of fencing needed can be determined by calculating the perimeter of the area. Perimeter is the distance round the area.
Perimeter of the area = 2(length + width)
2 (4 3/4 + 2)
2 x 6 3/4
2 x 27/4 = 13 1/2 feet.
A science teacher fills a spherical bubble with hydrogen gas. The bubble has a diameter of 8 centimeters.
Find the volume of hydrogen gas. Round your answer to the nearest tenth, if necessary.
O 50.3 cm
O 100.5 cm?
O 268.1 cm?
O 2, 144. 7 cm
Answers
Answer:
The answer would be the third option
Step-by-step explanation:
Can someone please help me with math.
Answers
Answer:
the answer is a. y=-2x-5
Mathematical treatment of the axioms of physics
(a) axiomatic treatment of probability with limit theorems for foundation of statistical physics
(b) the rigorous theory of limiting processes "which lead from the atomistic view to the laws of motion of continua"
Answers
Answer:
*Partially solved, cannot be fully solved, even in the most complex of mathematicians.
— Attempts at axiomatizing are useful even beyond mathematics: they help to clarify the basic assumptions and keep the mind in order. This is good and encouraging.
— This order may be much more complicated and counter-intuitive than the preceding chaos. This is not so encouraging, but not too bad: axiomatizing is a powerful tool, and its use requires accuracy.
— The road to rigour is infinite. This is neither encouraging nor discouraging: this is reality.
Step-by-step explanation:
‘One can say that, with the birth of quantum theory, Hilbert’s sixth problem was split into three different questions:
(i) Axiomatize classical probability.
(ii) Axiomatize the new (quantum) probability.
(iii) Clarify the connections between the two.’
The essence of the sixth problem as a programmatic call for the axiomatization of the physical sciences.
We can try to outline the possible ‘semantic of physical reality’ that complements semantics of physical theories, is simple, abstract and free from theoretical allusions. Let us just follow the machine learning abstractions. There are two alphabets: perceptions Inline Formula and actions Inline Formula.
The ‘person’ selects and sends ‘outwards’ the symbols from Inline Formula (actions) and receives symbols from Inline Formula (the answers to actions or just signals from ‘outside’).
There is the ‘freedom of will’: selection of a symbol from Inline Formula has no restrictions (Inline Formula models commands to actuators; the real actions and their results return to the person with the Inline Formula feedback).
10 problems, namely {3,7,10,11,13,14,17,19,20,21}, have a resolution that is accepted by a general consensus of the mathematical community. On the other hand, the solutions proposed for seven problems, namely {1,2,5,9,15,18,22}, are only partially accepted as resolving the corresponding problems.
Therefore, my conclusion, is that my brain is fried, and this cannot be fully solved.
If Antonio has six white Soxs, two black Sox's, and four gray socks In his drawer then if he randomly chooses a sock from the drawer, what is the probability he will choose a gray sock?
Answers
Answer:
1/3
Step-by-step explanation:
What, so he doesn't have the Red Sox?
Jkjk, so anyway let's get back to the problem.
There is a total of 12 socks.
There are 4 gray socks.
4/12=1/3
1/3 probability
can u answer both pls
Answers
im not able to see the images. if i can i'll come back and comment the answers!!!
A bathtub can hold 66 galons of water. The faucet adds 5.5 gallons of water to the bathtub evvery minute. Find out how many minutes it takes to fill the empty bathtub.
Answers
Answer:
It would take 12 minutes for the bathtub to fill up.
Answer:
66=5.5m
Step-by-step explanation:
Mrs. Gurung spends 75% of her income every month which amounts to Rs 9000 and the rest she saves in a bank
Answers
Answer:
See the explanation below
Step-by-step explanation:
The question is asking what the income is and what the rest amount is
We are told that 75% of the income is Rs. 9000
Le the income be x
so
75/100*x=9000
0.75x=9000
x= 9000/0.75
x=12000
Hence the income is
Rs. 12000
The rest amount
=12000-9000
=Rs. 3000
The formula V = s3 give the volume V of a cube with side length s.
The volume of a cube that has a side length of 8 inches is inches cubed.
Answers
Answer:
512 inches cubed
Step-by-step explanation:
8^3 is equal to 512
Answer:
512 inches
Step-by-step explanation:
8^3 = 8*8*8 = 64*8 = 512 inches
The radius of a circle is 10 meters. What is the angle measure of an arc 3 meters long?
{=37 m
=10 m
Give the exact answer in simplest form
Answers
Answer:
Ф = 0.3 radians
Step-by-step explanation:
The arc length formula is s = rФ. Solving for the angle measure Ф, we get:
Ф = s/r
and so with r = 10 m and s = 3 m, we get Ф = 3 m / 10 m = Ф = 0.3 radians
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven.
Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.
Write and solve an inequality which can be used to determine d, the number of days Violet can afford to rent while staying within her budget.
Answers
Answer:
The written inequality can be written as 0.12x + 25 <= 150.
Step-by-step explanation:
To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. The inequality can be written as 0.12x + 25 <= 150.
What is the solution set for inequality?The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven.
Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.
To solve the inequality in the 125 miles for x
So, 0.12(125) + 25 <= 150
= 0.12(125)
= 15
So, 15 + 25 <= 150
= 150/40
= 3.75 days
So, Violet would have three days max to afford to rent the car while staying within her budget.
Learn more about graphing inequalities here:
https://brainly.com/question/19598687
#SPJ2
Which information is not necessary to solve this problem? Five members of a club each brought 2 friends to their first meeting. There are 23 people in the club. How many member's friends came to the meeting? There are 23 people in the club. Five members brought friends. Some members brought 2 friends each.
Answers
Answer:
" There are 23 people in the club."
Step-by-step explanation:
We want to know how many member's friends came to the meeting.
We know that:
There are 23 people in the club
5 members of the club, invited 2 friends each.
So we have 5 times 2 friends invited:
Then there are 5*2 = 10 people invited to the first meeting.
Notice that the fact that there are 23 people in the club is never used, them the information that is not necessary to solve this problem is " There are 23 people in the club."
what is the slope of the line?
Answers
Answer:
slope=7/4
Step-by-step explanation:
you can find the slope of the line from a graph using the formula rise/run, where rise is the change in y and run is the change in x
let's start with a clear point; for example, (-1,-3)
we need to go up, down, left, or right to get the rise/run
up/down is considered the rise
left/right is considered the run
if we go up or to the right, that's considered a positive move
if we go down or to the left, that's considered a negative move
we'll go from (-1,-3) to another clear point, like (3,4) for example
starting at (-1,-3):
go up 7, to the point (-1,4)
then move 4 to the right to get to the point (3,4)
we went up 7, so our rise is 7
we moved to the right 4, so that is our run
our slope then is 7/4
please see below for a graph if that would be helpful:
Can someone really help me please
Answers
Answer:
6-B, 7-B, 8-A, 9-B, 10-A.
Answer:
6) Letter- B
7) Letter- B
8) Letter- A
9) Letter- B
10) Letter- A
Which ordered pairs make the open sentence true? 3x+y<14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0)
Answers
Answer:
(4, - 1)
(-1, 6)
Step-by-step explanation:
Given the expression :
3x+y<14
Test the opprions to find out the true statement.
(7, - 7)
3(7) + (-7) < 14
21 - 7 < 14
15 < 14 (not true)
(-1, 6)
3(-1) + 6 < 14
3 + 6 < 14
9 < 14 ( true)
(3, 6)
3(3) + 6 < 14
9 + 6 < 14 ( not true)
(4, - 1)
3(4) - 1 < 14
12 - 1 < 14 ( true)
(6,0)
3(6) + 0 < 14
18 < 14 ( not true)
What is the lateral and surface area? No link or you will be reported
Answers
i’ll give brainliest
Answers
Solve for x: 9-2x < 45
Answers
Answer:
heya !!
[tex]9 - 2x < 45[/tex][tex] - 2x < 45 - 9[/tex][tex]x < 36 \div (- 2)[/tex][tex]x < - 18[/tex]If a ball rotates 10 degrees in 8 seconds, how many degrees does it rotate in 32 seconds?
Answers
Answer:
This is your answer
Answer:
the ball will rotates 40 degrees in 32 sec.
Step-by-step explanation:
32÷8=4
4×10=40 degrees
Explain how to solve 5x^2-
3x = 25 by completing the square. What are the solutions?
Answers
The Smith's paid $952 for a
hotel for 7 DAYS. How much
was the hotel per night?
Answers
b) Re-write the statement 16 + 5 + 2 - 1 by including one pair of brackets
Answers
Answer:
hello !!
answer ;
(16 + 5 + 2) - 1
<.........kai.........>
Add the following lengths: 32'11"+11'3''
Answers
Answer:
44'2"
Step-by-step explanation:
32'11"+11'3' = 43'14" = 44'2"
Answer:
44'2"
Step-by-step explanation:
Starting with 32' 11", we'll add the 3" from the second number first. That will give us 32' + 14". Every 12" = 1 more foot, so that converts to 33' 2". Now add the 11' from the 11'3", and you have 44' 2". Does that make sense? Happy to answer any questions.
help asap no wrong answers pls
Answers
Answer:
Exactly one solution
Step-by-step explanation:
Because they two lines dont have the same slope, they must have only one solution.
Solve the equation for x. 3(x-a)+b=4x+a
Answers
Step-by-step explanation:
3x-3a+b=4x+a
3x-4x+b=a+3a
-1x+b=4a
-1x=4a-b
x=-4a-b
Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?
Answers
Answer:
495 miles
Step-by-step explanation:
It costs $17.50 for 5 gallons of gas. Write and solve a proportion to answer the question: How much gas could you buy with $49.00?
Solve and explain for BRAINLIST
Answers
17.50/5 = 3.50= 1 gallon
so you divide 49 by 3.5 and you get 14 and 14= 14 gallons
Step-by-step explanation:
list at least 3 theorems and give an example for each.
Answers
Answer:
A result that has been proved to be true (using operations and facts that were already known). Example: The "Pythagoras Theorem" proved [tex] {a}^{2} + b {}^{2} = {c}^{2} [/tex] that for a right angled triangle.
FIVE THEOREMS OF GEOMETRY: a circle is bisected by its diameter. angles at the base of any isosceles triangle is equal. If two straight line intersect, the opposite angles formed are equal.If one triangle has two angle and one side is equal to another triangle. any angle inscribed in a semi-circle is a right angle.Step-by-step explanation:
Hope it is helpful...
please help me with this question it is due soon
DONT SEND ME A LINK
Answers
Answer:
-3Step-by-step explanation:
As,
4 + (-7)
= 4 - 7
= -3
It is also shown on the number line.