a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?
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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Need your help answer correctly for 20 points! <3
12.50 dollars per hour
Answer:
$12.50
Step-by-step explanation:
Hi,
Cassie: 250 / 20 = 12.5
Marli: 312.50 / 25 = 12.5
Brad: 350 / 28 = 12.5
Each worker makes $12.50 per hour.
I hope this helps :)
Please help me! Only have about 10 minutes until I have to submit this assignment!
Answer:
626
Step-by-step explanation
Justin completes 8 extra credit problems on the first day and then 4 problems each day until the worksheet is complete. There are 28 problems on the worksheet. Write and solve an equation to find how many days it will take Justin to complete the worksheet after the first day.
Answer:
28-8-4x=0
x=5
5 days
Step-by-step explanation:
28-8=20 problems left
then 4 each day
PLEASE HELP ITS DUE TODAY!!
For problems 8-11, write Yes or No whether each figure is a polygon. (1 point each)
Answer:
yes,yes,yes,no :) hope it helps
Step-by-step explanation:
Answer:
1. Yes
2. No
Definition of a Polygon: a plane figure with at least three straight sides and angles, and typically five or more.
x
-5
-4
-3
-2
-1
0
1
2.
3
f(x)
14
6
CO
O
-4
-6
-6
-4
0
6
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
O As x = 0,f(x) = -00, and as x -o, f(x) o
As x = 0,f(x) - 00, and as x = -00,f(x) = 0
O As x - ,f(x) 0, and as x - -0,f(x) --
O AS X - c.f(x) - --, and as x + -0,f(x) ---
The solution is : Option C, function is → f(x) = x + 2
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
From the table give in the picture,
Let the linear function represented by the table is,
f(x) = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of a line passing through two points (-2, 0) and (1, 3) will be,
m = y2 - y1 / x2 - x1
= 1
Equation of the function will be,
f(x) = x + b
Since, a point (1, 3) lies on he given function,
3 = 1 + b
b = 3 - 1
b = 2
Therefore, function is → f(x) = x + 2
Option C will be the correct option.
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complete question:
X f(x)
-2 0
5. Which function matches the function table at the right?
A. f(x) = x+3
B.f(x) = 2x
C.f(x) = x + 2
D. f(x) = 4x - 1
Pls help
the arc measure of a sector in a given circle is doubled. will the area of the sector also be doubled? explain your reason
Answer:
Yes. See explanation below.
Step-by-step explanation:
The central angle and the degree arc measure of a sector of a circle are equal. Doubling the arc measure, doubles the central angle measure and vice versa.
Area of the the original sector:
[tex] A_{sector} = \dfrac{n}{360^\circ}\pi r^2 [/tex]
where n = measure of the central angle of the sector
Since the central angle and the arc measure of the sector are equal, changing the arc measure has the same effect as changing the central angle measure.
Let's double the central angle to 2n which is the same as doubling the arc measure.
Area of the sector with a doubled central angle or a doubled arc measure:
[tex] A_{sector} = \dfrac{2n}{360^\circ}\pi r^2 [/tex]
Now we divide the area of the doubled sector by the area of the original sector.
[tex]\dfrac{\frac{2n}{360^\circ}\pi r^2}{\frac{n}{360^\circ}\pi r^2} =[/tex]
Simplify:
[tex]= \dfrac{2n}{n} \times \dfrac{360^\circ \pi r^2}{360^\circ \pi r^2}[/tex]
[tex] = \dfrac{2n}{n} [/tex]
[tex] = 2 [/tex]
The ratio of the areas is 2, so the area of the sector is indeed doubled.
Answer: Yes.
If Y is inversely proportional to x and y=4 when x= 100, what is the value of y when x=250
Answer:
y=10
Step-by-step explanation:
[tex]\frac{4}{100}[/tex]=[tex]\frac{y}{250}[/tex]
cross-multiply, 4*250=100y
isolate the variable and solve for y, 1000=100y
divide 100 on both sides, 10=y
Un estudiante reparte el tiempo de un día de la siguiente forma:
1/4 del día duerme,
1/12 del día lo usa para desplazarse caminando hasta el colegio, 5/12
del día lo usa para estudiar. ¿Qué parte del día le queda para compartir con su familia?
Answer:
4 horas para compatir com su familia
Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5
Answer: I really don’t know
Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer
Write 3.41 x 106 in standard form
(24 points)
Answer:
3,410,000
Step-by-step explanation:
3.41 * 10^6 = 3.41 * 1,000,000 = 3,410,000
Answer:
3,410,000
plz mark me as brainliest
Based on a recent survey of 500 students,
the circle graph below shows how students
communicate
with friends.
How many more students chose social
media apps than phone calls to
communicate with friends?
A. 180 students
B. 12 students
C. 300 students
D. 36 students
Select the correct answer.
If f(x) = 2x^2 - 4x - 3° and g(x) = 2x^2 - 16`, find "f(x) + g(x)
OA. 4x^2 - 4x + 13
OB.
* 4x^2 - 4x -13
OC -4x - 19
OD.
*4x^2 - 4x -19
Answer:
4x^2 - 4x - 19
Step-by-step explanation:
Given the following functions
f(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16
f(x)+ g(x) =2x^2 - 4x - 3+ 2x^2 - 16
f(x)+ g(x) = 2x^2+2x^2 -4x - 3 - 16
f(x)+ g(x) =4x^2 - 4x - 19
Hence the required sum is 4x^2 - 4x - 19
find the value of x and y, special right triangles
Answer:
25 and 135
Step-by-step explanation:
you see that the small square equals 90
Nita is making pizza.
She needs 3/4 cup of cheese to make one whole pizza .
She has 3/8
Nita can make exactly one whole pizza or less than or more than
Answer:
Less than
Step-by-step explanation:
To see how 3/4 compares to 3/8, give em the same denominator. The simplest way is to multiply 3/4 by 2. Multiply each the numerator and denominator by 2. That gives you 6/8. She needs 6/8 but only has 3/8, so less than a pizza.
One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds.
Answer:
2.2y=1x or just x
Step-by-step explanation:
Answer: y=2.2x
Step-by-step explanation:
The quotient of a number more than 1 and 3 is 5
Answer:
https://brainly.com/question/13518166
Step-by-step explanation:
write the equations of these parabolas in vertex form: • focus at (-5,-3), and directrix y = -6 • focus at (10,-4), and directrix y = 6
Answer:
y=0.12/1(x-5)^2 -3
y=1/10(x-10)^2 -4
Step-by-step explanation:
Given the directrix and focus of the parabolas, the equation of the parabolas are [tex]y=\frac{1}{6}(x^{2} +10x - 2)[/tex] and [tex]y=\frac{1}{20}(-x^{2} +20x - 80)[/tex].
What is equation of a parabola?Equation of a parabola is given by-
Distance of a point (x, y) on parabola from directrix = Distance of a point (x, y) on parabola from focus
focus = (-5, -3)
directrix = y = -6
[tex]\sqrt{(x+5)^{2}+(y+3)^{2} } = (y+6)\\\\ (x+5)^{2}+(y+3)^{2} = (y+6)^{2}\\\\x^{2} +25+5x = 6y+27\\\\y=\frac{1}{6}(x^{2} +10x - 2)[/tex]
focus = (10,-4)
directrix = y = 6
[tex]\sqrt{(x-10)^{2}+(y+4)^{2} } = (y-6)\\\\ (x-10)^{2}+(y+4)^{2} = (y-6)^{2}\\\\x^{2} +100-20x = -20y+20\\\\y=\frac{1}{20}(-x^{2} +20x - 80)[/tex]
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Determine the approximate length of the segment AD *
Answer:
35/6
Step-by-step explanation:
The right angle triangle ABC which has another triangle BCD, the length of segment AD is, 9.73 cm
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
Two triangle,
ΔABC and ΔBCD
Side lengths are ,
AC = 19cm
BC = 8cm
DC = 11cm
AC² = AB² + BC²
19² = AB² + 8²
AB = 17.23
Another ΔBCD
11² = DB² + 8²
DB = 7.5
The length of AD = AB - DB
= 17.23 - 7.5
= 9.73
Hence, the length of the segment is 9.73 cm
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These tables represent an exponential function, find the average rate of change for the interval from x=9 to x=10.
The average rate of change for the interval from x=9 to x=10 is 39366
Exponential equationThe standard exponential equation is given as y = ab^x
From the values of the average change, you can see that it is increasing geometrically as shown;
2, 6, 18...
In order to , find the average rate of change for the interval from x=9 to x=10, we need to find the 10 term of the sequence using the nth term of the sequence;
Tn = ar^n-1
Given the following
a = 2
r = 3
n = 10
Substitute
T10 = 2(3)^10-1
T10 = 2(3)^9
T10 = 39366
Hence the average rate of change for the interval from x=9 to x=10 is 39366
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Answer:
39,366
Step-by-step explanation:
its right
what is the equation of the line that has a slope of -3 and a y-intercept of -1
Answer:
y=4x+2
Step-by-step explanation:
After two numbers are removed from the list $$9,~13,~15,~17,~19,~23,~31,~49,$$ the average and the median each increase by $2$. What is the product of the two numbers that were removed?
Answer:
The removed numbers are 13 and 19, and the product is:
13*19 = 247
Step-by-step explanation:
We have the set:
{9, 13, 15, 17, 19, 23, 31, 49}
The original median is the number that is just in the middle of the set (in a set of 8 numbers, we take the average between the fourth and fifth numbers)
then the median is:
(17 + 19)/2 = 18
and the mean is:
(9 + 13 + 15 + 17 + 19 + 23 + 31 + 49)/8 = 22
We want to remove two numbers such that the mean and the median increase by two.
Is immediate to notice that if we want the median to increase by two, we need to remove the number 19 and one number smaller than 17.
Then the median will be equal to:
(17 + 23)/2 = 20
which is 2 more than the previous median.
because 19 assume that we remove the 19 and number N.
To find the value of N, we can solve for the new mean:
((9 + 13 + 15 + 17 + 23 + 31 + 49 - N)/6 = 22 + 2
(this means that if we remove the number 19 and the number N, the mean increases by 2.
(9 + 13 + 15 + 17 + 23 + 31 + 49 - N)/6 = 22 + 2
(9 + 13 + 15 + 17 + 23 + 31 + 49 - N) = 24*6 = 144
157 - N = 144
157 - 144 = N = 13
This means that the other number we need to remove is 13
Then we remove the numbers 13 and 19
The product of the two removed numbers is:
13*19 =247
Answer:
247
Step-by-step explanation:
The average of the original numbers is 176/8 = 22. The median of the original numbers is the average of the middle two numbers: 17 + 19/2 = 18.
Thus, after removing two numbers, we should obtain a list of six numbers whose average is 24 and whose median is 20.
For the median of six numbers to be 20, the middle two numbers in that list must add up to 40. Searching our original list for pairs of numbers that add up to 40, we find two such pairs: 9, 31 and 17, 23. But 9 and 32 can't be the middle numbers after we remove two numbers, so 17 and 23 must be the middle numbers. This tells us that one of the removed numbers must be 19.
For the average of six numbers to be 24, the sum of the six numbers must be 6 ∙ 24 = 144. This is 32 less than the original sum of 176, so if one of the removed numbers is 19, the other must be 32 - 19 = 13.
Therefore, the product of the two removed numbers is 13 ∙ 19 = 247.
Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.
A-(2, 27)
B-(2, 19)
C-(2, 3)
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Compare each set of rational numbers.
-1
2
✓ -1.5
1
o
2
-2
-1
-1 is a negative real and rational integer.
2 is a positive real number
[tex] \sqrt{ - 1.5} [/tex]
is an imaginary or nonreal number.
1 is rational
0 is rational
2 rational counting number
-2 is a negative integer
and do is -1
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour.
Which function most accurately represents this data, where n is the number of bacteria and 1 is the time elapsed, in hours?
a. n=2t
b. n=2^t
c n=t^2
d. n=√t
Answer:
a. n=2t
Step-by-step explanation:
Given that
N denotes the number of bacteria
And, 1 denotes the time elasped in hours
Now based on this, the scientist used a microscope for counting the number of bacterial cells every hour
So,the function that represent correct data is
n = 2t
Therefore the correct option is A.
The same would be considered
Simplify the expression completely.
i have now attached the picture but it can be wrong!
Plz help 10 points :)
What is the measure of the other acute angle.....?
I really need to get this right plsss help me ❤️ I really need to get to an 90
the answer is 30°
EXPLAINATION:
since the angle is a right angle triangle one of it's angles is 90°, and all the angles of a triangle always add up to 180°
so, 90° + 60° + x = 180
150° + x = 180°
so x = 180° - 150° = 30°
hence, the other acute angle is 30°.
The starting salary of a starting teacher is $40,000, which will increase by 2% each year
What is the multiplier (growth factor) for this scenario?
1. .02
2. 1.02
3. 2
4. 1.2
Answer:
Choice B - (1.02)
Step-by-step explanation:
With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.
2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)
Complementary of supplementary? Find the value of x
Answer: x=6
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
Step-by-step explanation:
We know that on both 10 & 12 the angles add up to equal 90° so...
10. 8x+7x=90
15x=90
x=6
12. it's the same in pic as 10
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.