The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
What are a cone and a cylinder?The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.
A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.
It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-
The lateral area of the cone = πr√(h²+r²)
The lateral area of the cylinder = 2πrh
The ratio will be calculated as:-
R = πr√(h²+r²) / 2πrh
R = √(h²+r²) / 2h
Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
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The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level,
then the pressure P(a) (in mmHg) is approximated by P(a) = 760e-0.13a. Determine the atmospheric pressure at
8.47 km. Round to the nearest whole unit.
Answer:
253 mmHg
Step-by-step explanation:
Since the atmospheric pressure, [tex]P(a) = 760e^{-0.13a}[/tex]
when a = height (in km) = 8.47 km, then the atmospheric pressure P(a) is
[tex]P(a) = 760e^{-0.13a}\\P(8.47) = 760e^{-0.13X8.47}\\P(8.47) = 760e^{-1.1011} \\P(8.47 )= 760 X 0.33251 \\P(8.47)= 252.7 mmHg\\[/tex]
P(8.47) ≅ 253 mmHg
The volume of a cylinder is 256pi in 3 and the height of the cylinder is 1 in what is the radius of the cylinder
Answer:
I got 9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
Can someone help me with this. Will Mark brainliest.
Answer:
1.8
Step-by-step explanation:
PLEASE HELP I DONT UNDERSTAND I WILL GIVE EXTRA POINTS IF ITS RIGHT!!!!!!!!!!!!
Answer:
10.7
Step-by-step explanation:
Hello There!
The image shown below shows the relationship between two chords formed inside of a circle
So the product of the lengths of the lines in the same chord is equal to the product of the other length of the chords lines if that makes sense
So basically 6 * 16 = 9 * x
we can now use this equation that was just made to solve for x
6 * 16 = 96
96 = 9x
*divide each side by 9*
96/9=10.66666667 *round to the nearest tenth* 10.7
9x/x
we're left with x = 10.7
How many solutions does the nonlinear system of equations graphed below
have?
The curves are intersecting at (-1.75, 2.5) and (1.75, 2)
Nonlinear functions include all functions that are not linear. The following are some instances of nonlinear functions: f(x) = x2 - 2x + 2, ln (x), ex, etc.
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(-1.75, 2.5) and (1.75, 2)
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Explain what you think 5 x ⅙ means.
Answer:
5/6?
Step-by-step explanation:
The results of a linear regression are shown below.
y=ax+b
a=-1.15785
b=139.3171772
r=-0.896557832
r^2=0.8038159461
Which phrase best describes the relationship between x and y?
A. Strong negative correlation
B. Strong positive correlation
C. Weak positive correlation
D. Weak negative correlation
Hello!
As we can see, our a value, which would be the coefficient of [tex]x[/tex], which determines our slope, is negative, meaning that this whole line is negative.
Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.
If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.
-2+ 3(1-4)-2 what to do ???
Answer:
-13
Step-by-step explanation:
−2+3(1−4)−2
=−2+(3)(−3)−2
=−2+−9−2
=−11−2
=−13
Step-by-step explanation:
Is this ok
If its correct, please don't forget to like and mark me
HELP NO LINKS JUST ANSWER DUE TODAY
What is the difference between the greatest and least amounts of rain?
Answer:
1 inch
Step-by-step explanation:
hshuehevdjdbevejdj
During basketball practice, you make 8 free throws out of 20 shots taken. Using
experimental probability, how many free throws would you score out of 50
shots taken?
Answer:
if you make 4 free throws for every 10 shots taken you would make 20 out of 50 free throws
Step-by-step explanation:
Which of the following
represents 9!
A. 9
B. 9*8*7*6*5*4*3*2*1
C. 9+8+7+6+5+4+3+2+1
Please answer correctly I will mark you Brainliest!
Answer:
1047.12in³
Step-by-step explanation:
The volume of the sphere is:
V= 4/3 πr³
Where r is radius
Therefore the volume of each pinata is:
V= 4/3 x π x 5³
V= 523.6in³
The total:
V = 523.6 + 523.6 = 1047.12in³
Ay benefit concert, twelve bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
The requried, there are 495 possible combination lineups with eight bands out of twelve for the benefit concert.
To determine the number of possible lineups with eight out of twelve bands performing, we need to calculate the combination.
The number of ways to choose eight bands out of twelve without considering the order is given by the combination formula:
[tex]C(n, r) = \dfrac{n!}{ (r! * (n-r)!)}[/tex]
where n is the total number of bands (12 in this case) and r is the number of bands to be chosen (8 in this case).
Let's calculate it:
[tex]C(12, 8) =\dfrac {12!}{(8! * (12-8)!)}[/tex]
[tex]= \dfrac{12!} {(8! * 4!)}[/tex]
= (12 * 11 * 10 * 9) / (4 * 3 * 2 * 1)
= 495
Thus, there are 495 possible combination lineups with eight bands out of twelve for the benefit concert.
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Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
(-5,9) , (0,-1) , (7,-15) , (9,-19)
Option D is correct.
The relation {(-8, -6) (-5, 2) (-8, 1) (7, 3)} is not a function.
Step-by-step explanation:
Given the relation: {(-8, -6) (-5, 2) (-8, 1) (7, 3)}
Domain is the set of all possible inputs of a relation i.e { -8, -5 , -8 , 7}
Range is the set of output values of a function i.e, {-6, 2 , 1 , 3}
The mapping as shown below in the figure:
A function is a relation in which every element of the domain is matched to not more than one element of the range.
In other words, we can say that ,no value of x gets mapped to more than 1 value of y.
Since, from the mapping you can see that the domain value -8 paired with -6 and 1; as x is used more than once.
Therefore, this relation is not a function
There are 30 students going on a field trip. Each car can take 4 students. Which inequality would be used to find the least number of cars needed?
Please Help! I'll give Brainliest!
Answer:8 cars
Step-by-step explanation:
to find the least amount of cars dived 30/4 which equilds 7.5
Since there are 2 remaining students, an additional car will be needed bringing the total to 8 cars.
NO LINKS I will give brainliest, it’s a graph pls answer if you know how. Where are the smart people
Answer:
The answer for (a) is at the picture
(b) The vertex is (-2,7)
(c) Yes the parabola open downward
(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves
Step-by-step explanation:
please help!!!! it’s due asapppp !!!!!
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH
please give me a real answer
Answer:
Q2. angle 5 +angle 6=90°
angle 5+ 6°=90°
angle 5=90°-6°
angle 5=84°
Q.3 angle 8+angle 9=90°
angle 8 + 11°=90°
angle 8=90°-11°
angle 8=79°
Simple word problem. 40 POINTS!!!!Thank you.
Answer:
$50
Step-by-step explanation:
Hello There!
We are given that for 1 hour of work 250 dollars is charged and for 3 hours of work 350 dollars is charged
This could also be represented in two points (1,250) and (3,350)
The question wants us to find the hourly charge rate (slope)
we can easily find the slope ( hourly charge rate ) by using the slope formula
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
we have our two points so all we need to do is plug in the values (remember y values go on top and x values go on the bottom.)
[tex]slope=\frac{350-250}{3-1} \\350-250=100\\3-1=2\\slope=\frac{100}{2} or50[/tex]
So we can conclude that the hourly charge rate is $50
Help me please thanks
Answer:
64 square cm
Step-by-step explanation:
(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)
Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.
8 x 6 = 48 square cm
Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?
So 1/2 (4)(8)= 1/2(32) = 16 square cm
Then we add 16 + 48 = 64 square cm
Do dilations always produce congruent figures
Answer:
No, sometimes it can just produce a similar image .
Can I get brainliest?
Step-by-step explanation:
I'm sorta to lazy to do this so someone help plz?
2
A = 2.5 km
b= 5 km
h =
Answer:
First of all, we have to make area km by multiplying 10 then solve, the answer is 5
Which set of numbers is infinite?
A) integers between -4 and 7
B) whole numbers between 1 and 17
C) natural numbers between 5 and 10
D) irrational numbers between 10 and 30
Answer:
D). irrational numbers between 10 and 30
Which of the following describes the dimensions of a backyard?
The area of the yard.
The perimeter of the yard.
The volume of the yard.
The lengths of the sides of the yard.
Answer:
the lengths of the sides of the yard.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
this reason is because the sides tell how big your backyard is
I NEED HELPP ... 26 points!
Quotient: The result of dividing two numbers
Explanation: Just some simple dividing and rounding
Quotient - 102.756098
Rounding - 102.76
Answer: 102.76
Can anyone solve these please, cos I'm nucklehead and my brain won't work
×-10=13
t+20=44
y
_ =7
5
Answer:
Hello There!!
Step-by-step explanation:
1.×-10=13. 13+10=23
2.t+20=44. 44-20=24
3.y/5=7. 5×7=35
You do the inverse operations to find the unknown number.For example if it is minus you do plus. e.g x-7=19 . 19+7=26
hope this helps,have a great
Find the volume of the cylinder height 10 in base radius 3 in
Answer: 282.60in³
Step-by-step explanation:
When calculating the volume of a cylinder, the formula to use is:
= πr²h
where,
π = 3.14
r = radius = 3 in
h = height = 10 in
Volume = πr²h
= 3.14 × 3² × 10
= 282.60
Therefore, the volume of the cylinder is 282.60in³
Select the correct answer from each drop-down menu.
Consider the equation below.
x^3 - 3x^2 - 4 = 1/x-1 +5
The solutions to the equation are approximately x =
0.91 and x= *blank*
Answer:
The solution is x = + 0.77 , -0.77
Step-by-step explanation:
The equation is
[tex]x^3 - 3x^2 - 4 = \frac{1}{x} -1 +5\\x^4 -3x^3 -4x = 1-4x\\x^4 - 3x^3 = 1\\x^3 (x-3) = 1\\\\x^4 -3x^3 -1 = 0\\x^4 -3x^3 -1[/tex]
The solutions to the equation is
x = + 0.77 , -0.77
Answer:
0.91 and 3.69
Step-by-step explanation: