Answers
Answer:
Lateral surface area of the cone is 1005 cm²Step-by-step explanation:
Given :-
Radius of cone = 16 cmHeight of cone = 12 cmTo Find :-
Lateral surface areaSolution :-
As we know that,
LSA of the cone = πrlFinding Slant height:
➝ L = √r² + h²
➝ L = √(16)² + (12)²
➝ L = √256 + 144
➝ L = √400
➝ L = 20 cm
Slant height of cone is 20cmNow,
LSA of the cone = πrlSubstituting the required values,
➝ LSA = 22/7 × 16 × 20
➝ LSA= 7040/7
➝ LSA ≈ 1005 cm²
Hence,
Lateral surface area the of cone is 1005 cm²Related Questions
its 8th grade math super easy
Answers
[tex] {15}^{2} + {x}^{2} = {39}^{2} [/tex]
x = 36
^● ●^
Answer:
36
Step-by-step explanation:
You can use Pythagorus to solve this. 39^2-15^2=1296. √1296 is 36
A line passes through the point (-10, -8) and has a slope of -1/2. Write an equation in slope intercept form for this line
Answers
y = mx + b
Plug in the slope and coordinates for x and y and solve for b (y-intercept)
-8 = -1/2(-10) + b
-8 = 5 + b
-13 = b
Then rewrite the equation in slope intercept form
y = -1/2 x - 13
True or false? If you took a true "il then statement and revered the clauses,
the new statement would also be true
O A True
O B. False
Answers
the answer to ur question is false
A right triangle has one angle that measures 16°. What is the measure of the other acute angle
Answers
Answer:
3rd angle = 74
Step-by-step explanation:
Remark
All triangles have 180 degrees.
In addition a right triangle has 1 angle that equals 90 degrees.
That means the other 2 must add to 90.
Givens
1 angle = 90
1 angle = 16
3rd angle = x
Solution
x + 16 + 90 = 180 Sum 3 angles to 180 degrees. Combine
x + 106 = 180 Subtract 106 from both sides.
x = 180 - 106 Combine
Answer: x = 74
Name one segment that is a radius:
How long is the radius ?
Name one segment that is a diameter:
How long is the diameter?
Answers
GA
How long is the radius?
Not sure
Name on segment that is a diameter:
CD
How long is the diameter?
15cm
9) Calculate the approximate area of the regular pentagon, to the nearest tenth.
11 cm
Answers
Pleaseeee helpppp
I will mark brainliest!! Please answer fast! <3
Answers
Answer:
9 is most likely going to be 8 x 90 = 720 becauce there is a 90 degree angle. 10 is going to be 400.8. I belive that this is the right awnser to your equation.
9) The shape is a square
sqrt(x^2 + x^2) = 80
sqrt(2x^2) = 80
2x^2 = 6400
x^2 = 3200 [area of the square]
10) We have to find the height, we can use trigonometry.
sin(x) = O : H
sin(60°) = O : 4
O = 4 x sin(60°) = 3.46
Area = bh = 5 x 3.46 = 17.3 [or 17 to the nearest tenth]
Rename 1/5 and 9/10 using the least common denominator.
Answers
Answer:
[tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
First, llook at the denomintor. Do 5 and 10 have something in common? 5x2=10 and 10x1=10. The common denominator is 10. Then you mulitply the numerator with what you mulitpierd with the denominator. 9x1=9 and 10x1=10 =[tex]\frac{9}{10}[/tex]. 1x2=2 and 5x2=10 = [tex]\frac{2}{10}[/tex]. So, It is [tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex].
ends of a diameter: (-11, -9) and (1, -3) whats the radius and center
Answers
well, we know the endpoints of its diameter, so hmmm its center will be the midpoint of those endpoints.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 -11}{2}~~~ ,~~~ \cfrac{ -3 -9}{2} \right)\implies \left( \cfrac{-10}{2}~~,~~\cfrac{-12}{2} \right)\implies \stackrel{center}{(-5~~,~~-6)}[/tex]
well, to get its radius, we can simply get the distance between both points and keeping in mind that the radius is half the diameter, we'll take half of that distance.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-11)]^2 + [-3 - (-9)]^2}\implies d=\sqrt{(1+11)^2+(-3+9)^2} \\\\\\ d=\sqrt{12^2 + 6^2}\implies d=\sqrt{180}\implies d=6\sqrt{5}~\hfill \underset{half~that}{\stackrel{radius}{3\sqrt{5}}}[/tex]
help me out on this problem
Answers
Find the midpoint between these two points:
(-2, -13) and (-8, 3)
options:
(-4, 8)
(-5, -8)
(-5, -5)
(4, 8)
Answers
Mid point
= [(x1+x2)/2 , (y1+y2)/2]
= [(-2 +-8)/2 ,( -13 + 3)/2]
= [-10/2 , -10/2]
= (-5 , -5)
Helppppppp plissssssssssss
Answers
Answer: Option W
Step-by-step explanation:
A function cannot have multiply y values for a single x value, so the only option that satisfies this rule is option W, the top left.
Please I need help ASSAAAPPP answering this question and if so can you show work PLEASE I’m dEspRate
Answers
The equation needed to calculate the compound interest is [tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
The value of the account after ten years is $9347.62 .
If the account is left alone for 20 years, the amount of interest earned is $6942.76
How to calculate compound interest?The compound interest formula is represented as follows;
[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
where
A = amountP = principalr = raten = compounded months, years etc.t = time in yearsTherefore,
where
r = 3.7% = 3.7 / 100 = 0.037
n = 1
t = 10
P = $6500
Hence,
[tex]A = 6500(1+\frac{0.037}{1} )^{1(10)}[/tex]
[tex]A = 6500(1.037)^{10}[/tex]
[tex]A = 6500(1.43809495884)[/tex]
A = 9347.61723247
A = $9347.62
The value of the account after ten years is $9347.62
Interest = 9347.62 - 6500 = 2847.62 dollars
When it is 20 years.
r = 3.7% = 3.7 / 100 = 0.037
n = 1
t = 20
P = $6500
Hence,
[tex]A = 6500(1+\frac{0.037}{1} )^{1(20)}[/tex]
[tex]A = 6500(2.06811711064)[/tex]
A = 13442.7612192
A = $13442.76
Interest = 13442.76 - 6500 = 6942.76 dollars
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Derek saves 10% of his paycheck each week to buy a mountain bike the mountain bike costs 340.00 Derek receives a paycheck in the amount of $280.50 each week how many paychecks will Derek have to receive before he has saved enough money to buy the mountain bike
Answers
Answer: 13 weeks
Step-by-step explanation:
First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)
Evaluate ƒ(x) = 2x2 for ƒ(3)
Answers
Answer:
f(3) = 18
Step-by-step explanation:
In f(x) = 2x² ltet x = 3
f(3) = 2(3)²
f(3) = 2(9)
f(3) = 18
determine the sum by suitable arrangement
i)157+376+413+524 thank you
Answers
Answer:
the answer is 1470
Step-by-step explanation:
157+376+413+524
=1470
What is the measure of ZRST?
R
46
T
O A. 46°
O B. 92°
O .
C. 23°
D. 44°
s
Answers
Answer:
ОА. 449
ОВ. 23°
Ос. 92°
OD. 46°
Step-by-step explanation:
The measure of the angle RST is 23 degrees, option C is correct.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that an arc is 46∘
We need to find the measure of the subtending angle inscribed in the circle.
The measure of the angle inscribed in a circle is one-half the measure of the arc it subtends.
The measure of the arc is twice the measure of the subtending inscribed angles.
measure of the angle RST= 1/2 measure of the arc
∠RST=1/2(46)
=23 degrees.
Hence, the measure of the angle RST is 23 degrees, option C is correct.
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Ramon and Hector ride their bikes at constant rates during a race. Ramon rides 45 miles in 3 hours. The distance, y, in miles, Hector rides in x hours is given by the equation y = 18x. Which statement is true?
No answer text provided.
No answer text provided.
Ramon rides his bike 3 miles per hour faster than Hector rides his bike.
Ramon rides his bike 27 miles per hour faster than Hector rides his bike.
Ramon rides his bike 3 miles per hour slower than Hector rides his bike.
Ramon rides his bike 27 miles per hour slower than Hector rides his bike.
Answers
We will find the speeds of both persons, the correct option is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
Which statement is correct?First, we know that Ramon rides 45 miles in 3 hours, then its speed is:
S = 45mi/3h = 15mi/h
And we know that Hector position is given by:
y = 18x
Where x is time in hours, so his velocity is 18mi/h.
Then we can see that:
Ramon's speed = 15mi/hHector's speed = 18mi/hSo the correct statement is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
If you want to learn more about speed, you can read:
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What’s the formula for volume on a square pyramid
Answers
What is the answer to 0.5(2x + 8) = x - 4
Answers
[tex]0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}[/tex]
A parallelogram has and area of 37.72 m2 and a height of 4.6 m. How long is the base of the parallelogram?
Answers
Answer:
It acually equals 8.2
Step-by-step explanation:
37.72÷4.6=8.2 8.2*4.6=37.72
Hope this helps!
3 + 32 ÷ 8 - 9 pls figure this out
Answers
3 + 4 -9
-2
........ -2 is the answer
Answer:
Your answer is -2.
Explanation:
3 + 32 ÷ 8 - 9
= 3 +4 - 9
= 7 - 9
= -2
Because bernard has some health issues, he must pay 15% more for life insurance. about how much more annually will a $115,000 10-year term insurance at age 35 cost bernard than someone of the same age without health issues? a 3-column table with 3 rows. column 1 is labeled age with entries 35, 40, 45. column 2 is labeled 10-year term, male, with entries 1.40, 1.64, 2.07. column 3 is labeled 10-year term, female, with entries 1.36, 1.59, 2.01. a. $161 b. $185 c. $1,073 d. $24 please select the best answer from the choices provided a b c d
Answers
The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.
What are insurance premiums?The insurance premium is paid as a cost to cover a possible loss that is unseen.
The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.
From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40
The amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more
= 1.15 × $161
= $185.15
Therefore,
The amount more Bernard has to pay = $185.15 - $161
= $24.15 ≈ $24
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>>>>>>>>>>>>>>>>>>>>
Answers
Answer:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
<<<<<<<<<<<<<<<<<<<<
hope it helps...!!!
What is the lowest common denominator for these fractions?
3/5 and 1/10
15
5
10
Answers
Answer:
10
Multiply both parameters by the least common multiple of each.[tex]\frac{3*2}{5 * 2} = \frac{6}{10}[/tex]
[tex]\frac{1*1}{10*1} = \frac{1}{10}[/tex]
The lowest denominator cannot be 5, because that would mean you would have to reduce 1/10, and you cannot since 1/10 is a unit fraction, meaning it has a numerator of 1. However, 3/5 in that scenario would remain the same, since it already has a denominator of 5, but 10 does not have both parameters divisible by 5, therefore, eliminate option B.It is also not A. because A. is too high, option A. would actually be the highest denominator you can go for in this situation, which we are not going for. We are going for the lowest denominator logically possible.________________________________________________________
With that information, the correct answer is option C, 10
________________________________________________________
What have we learned?We learned how to find the least common denominator of fractions whose parameters are not the same.
Questions related to this topic? Ask me in the comments box.
The school auditorium has 448 seats arranges in 32 equal rows. How many seats are in each row?
Answers
448 total/32rows=14 seats in each row
What is the measure of side opposite to 45 degree if the side opposite to 90 degree is 4
Answers
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
if the given figure is triangle, then the required length can be calculated:
[tex]\frac{4}{\sqrt{2} } =2\sqrt{2}.[/tex]
additional info: sin45°=1/√2.
Is miguel’s claim correct? yes, the two events are independent because p(nf|pb) = p(nf). yes, the two events are independent because p(pb|nf) = p(nf). no, the two events are not independent because p(pb|nf) ≠ p(pb). no, the two events are not independent because p(pb|nf) ≠ p(nf).
Answers
Miguel’s claim is correct Yes, the two events are independent because P(NF | PB) is equal to P(NF) which is 3/4.
What is an independent event?The two events are said to be Independent events if the occurrence of events is not dependent.
We have the given data;
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
The two events will be independent if both are the same.
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
Thus, the two events are independent
Learn more about Independent events;
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Answer:
The answer will be A - Yes, the two events are independent because P(NF|PB) = P(NF).
Step-by-step explanation:
Hope this helped!
What number when multiplied by itself is 11 greater.
Answers
Answer:
6
Step-by-step explanation:
The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say that the storage building must have maximum maximum height of 14 feet. Width of 8 feet and trucks deliver fertilizer in loads that are feet tall; feet wide, and 12 feet long_ Farmer Supply Dump wants t0 be able to store dump-truck loads of fertilizer: and height of the cone, h2 that Farmer Supply should use in Determine height of the cylinder; h1 will be able to store at least two dump-truck loads of fertilizer: the design: Show that your design Enter your answer and your work in the space provided
Answers
Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet
The diameter of the building has been given as 8cm
radius = d/2 = 8/2 = 4
Maximum height = h1 + h2 = 14
Find the volume of the fertilizer that is containeed in both of the trucks
2(12x4x6) = 576 feet
From the height of 14 feets we have to assume
h1 = 11 ft,
h2 = 3 ft
How to solve for volume[tex]volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1[/tex]
= 0.333*3.14*4²*3 + 3.14*4²*11
= 602.8 ft ≈ 603
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