A solid object is made with the combination of a cylinder and a cone having same radii. The height of the cylinder and the slant height of the cone are 30 cm and 26 cm respectively. If the total cost of painting the total surface of the solid object at the rate of Rs 210 per 100 sq. cm is Rs 6336, find the height of the cone.
Answers
The total surface area of the solid object is the sum of the surface area of the cylinder and the surface area of the cone.
The surface area of the cylinder is 2πr(r+h), where r is the radius of the cylinder and h is its height.
The surface area of the cone is πr(l+r), where r is the radius of the cone and l is its slant height.
Since the cylinder and the cone have the same radius, we can call this radius r.
The total surface area of the solid object is therefore 2πr(r+h) + πr(l+r).
We are told that this total surface area is equal to 6336/210 = 30 sq. cm.
Thus, we can set up the equation: 2πr(r+h) + πr(l+r) = 30.
We are trying to find the value of l, which is the slant height of the cone. We are given the value of h, which is the height of the cylinder. We can substitute this value into the equation to get:
2πr(r+30) + πr(l+r) = 30.
This equation can be rearranged and solved for l to find the slant height of the cone.
l = sqrt(900 - 60r).
Since we are given that the slant height of the cone is 26 cm, we can substitute this value into the equation to solve for the radius of the cone:
26 = sqrt(900 - 60r)
Solving for r, we find that the radius of the cone is 15 cm.
Substituting this value back into the equation for the slant height of the cone, we find that the height of the cone is:
l = sqrt(900 - 60(15)) = sqrt(300) = 17.67 cm.
Thus, the height of the cone is approximately 17.67 cm.
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How old is President Trump if he was born in 1946 ?
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Answer:74 years old?
Step-by-step explanation:
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Answer:
x=60 all you have to do is take 140 and subtract it from 80 that is it
Answer:
x= 40°
Step-by-step explanation:
here
x°+140°+80°= 180°
or , x°+220°=180
or , x°=220°–180°
•
• • x= 40°
You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
Answers
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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X over 21 equals 12/18
Answers
Answer:
14
Step-by-step explanation:
x/21=12/18
18x=252
14
What is the relationship between how Jews were portrayed to the public and their persecution during the holocaust?
Hint: Find how they were portrayed to the public by Hitler and then follow that up with How were they persecuted during the Holocaust?
Answers
Answer:
Step-by-step explanation:
This is actually in the wrong place. It should probably be in English or History, but I'll answer it anyway.
You need to start by seeing the way they were portrayed in cartoons, in writing (mainly newspapers), on the radio, in speeches and on the streets. Start with the Bible. The Old Testament was about the law mostly and behavior as much as anything. The people who lived and were governed by the OT generally were very pious unless they were rebellious sinners.
The New Testament is a slightly different matter. In most of Europe the peasantry thought the Jews were Christ Killers. That thought was dominent throughout the Middle Ages. It isn't true. Jesus was a Jew, so were the disciples, so were the huge crowds that followed Him to at least hear what he had to say.
It was only the ruling classes (The Pharisees, the Sadducees, and the scribes and teachers), that were not fond of Jesus. But that fact was not emphasized. Out of that picture and the displacement of the Jews after the Temple was destroyed, grew the caricatures of what the Jews were.
Anti Semitism was quite common in Europe. Most people fell for the propaganda that said the Jews were the spawn of the Devil. It became easy to kill those that were felt to be evil.
I urge you to start your own study of what happened. Start with the Inquisition.
there was 506 tickets sold for the school play they were either student tickets or adult tickets there was 56 more student tickets sold than adult tickets sold how many adult tickets were sold
Answers
Answer:
A = 228 tickets
Step-by-step explanation:
We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.
Because the number of adult and student tickets together equals 506, we have A + S = 506.
Because there are 56 more student tickets than adult tickets we have A + 56 = S
And the way the system is already set up allows us to use substitution.
Thus, we have:
\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)
The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.
Find the measure of angle x in the figure below.
57 61
у
x
O 35
O 47°
O 51°
0 62
Answers
Answer:
51 degees
Step-by-step explanation:
y= 180 -57-61
y = 62 degrees
x = 180 - 67 - 62
x = 51 degrees
What is the x-intercept for function f?
f(x) = −23x + 8
Answers
The x-intercept for function f(x) = −23x + 8 is (8/23, 0)
In this question, we have been given a function f(x) = −23x + 8
We need to find the x-intercept for given function f(x)
Let f(x) = y
So, given function becomes,
y = −23x + 8
To find the x-intercept, set y = 0,
0 = -23x + 8
23x = 8
x = 8/23
Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)
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What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answers
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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calculate an estimate for 491/52.1
Answers
Answer: 9
Step-by-step explanation: 9, bcause the answer is 9.424184261. So i took nine and thought 9 or 9.1? the net number is 4 so we keep 9.
The estimate of 491/52.1 is 9
How to estimate the valueNote that there is a division sign
Find the value by dividing 491 by 52. 1
= 491 ÷ 52. 1
= 9. 4241
Only number greater or equal to 5 can add up as 1 in approximation and 4 is less than 5
The approximate value of 9. 4241 is 9
Thus, the estimate of 491/ 52.1 is 9
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Which choice is equivalent to the expression below? √-49
btw its 7i
Answers
Answer:
7
Step-by-step explanation:
Which shows the factored form of the expression below? 100-p^16 (show all steps you took to get to answer)
Answers
Answer:
\(100-p^{16}=(10-p^{8})(10+p^{8})\)
Step-by-step explanation:
Factoring
Binomial factoring is a common task when solving a great variety of math problems.
One of the best-known formula that helps us to factor a binomial is:
\((a^2-b^2)=(a-b)(a+b)\)
It can easily be identified because the expression is the difference between two perfect squares.
The expression
\(100-p^{16}\)
can be factored with the formula above since it's the difference of two squares:
\(a=\sqrt{100}=10\)
\(b=\sqrt{p^{16}}=p^{8}\)
The expression is factored as follows:
\(\boxed{100-p^{16}=(10-p^{8})(10+p^{8})}\)
Lee Associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years. Assuming a rate of 8% compounded semiannually, the amount to be paid into the fund each period is):
Multiple Choice
$1,350
$1,535.21
$1,653
$5,163
Answers
The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).
Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.
Assuming a semiannual compounding rate of 8%,
As per the given information, the required solution would be as:
Amount to be paid into the fund each semi-annual period will be
= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))
= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))
= $1535.21
Thus, the required amount to be paid into the fund each period is $1535.21.
Hence, the correct answer would be an option (B).
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Line a: y=2x+4
Line b: y=2x-3
Slope of line a is _______ and slope of line b is __________. Therefore, the two lines are __________.
Answers
Answer:
two, two, parallel
Step-by-step explanation:
According to the equation, mx + b where m is the slope, we can conclude that the slopes of both equations are two. If two lines have equal slopes, then they are parallel. As both lines have equal slopes, they are parallel.
Answer:
2_2_linear equations
The question is asked in the attached file,. Kindly someone answer it in the best way.
Answers
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Which rational number is less than 4/9
Answers
Answer:
Step-by-step explanation:
The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.
Suppose that the total cost of flatiron TVs is given by the function TC(Q) = 500Q + 300 dollars, where Q is the number of TVs produced. Find TC(10).
Answers
The value of TC(10) is 5300 Dollars
Given function is TC(Q) = 500Q +300 dollars
We need to calculate the value for TC (10)
As we know that the equation given is TC(Q) = 500Q + 300 dollars
Q is the number of TVs produced
Therefore, The value of Q is 10 for TC(10)
Substituting the value of Q
in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,
TC(10) = 500(10)+300 dollars
∴ TC (10) = 5000+300 dollars
∴ TC (10) = 5300 dollars
Hence the value of TC(10) is 5300 Dollars
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The rectangular prism below has a width of 5cm a length of 7cm and a height of 4 cm what is the surface area of this rectangular prism
Answers
Answer:
Step-by-step explanation:
multiply length x width times hight
Matthew can spend up to $75 on supplies for his garden. The flowers will cost $38 and he wants to spend the rest on bags of top soil. Each bag of top soil costs $6.
How many bags of top soil can he buy?
Enter your answer in the box.
bags of top soil
Answers
Answer:
6 r1
Step-by-step explanation:
help pls i wish i knew how to do
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
Write an equation to represent the relationship between the total cost (y) and the number of bags of peanuts (x).
A) y = 4x
B) y = 1/4x
C) y = 3x
D) y = 1/3x
Answers
Answer:
its a
Step-by-step explanation:becayse i said so
What is the equation of the line that passes through the point (4,7) and has a slope of -1/4
Answers
Answer:
Step-by-step explanation:
since you are given the slope and a point....
use point slope formula y-y1 = m(x-x1)
y - 7 = -1/4 (x - 4)
then get that into the slope intercept form , use the formula y = mx + b as your target
y -7 = -1/4x +1
y = -1/4x +1 +7
y = -1/4x + 8 that's your answer
No need for explanation I just need an answer
Answers
Answer:
Step-by-step explanation:
12x-24
Answer:
Your answer is...
12x-24!
Step-by-step explanation:
I HOPE THIS HELPS YOU WITH YOUR WORK!
What rigid motion maps the solid-line figure onto the dotted-line figure?
A reflection
B. rotation
C. translation
Answers
Answer:
A. Reflection
Step-by-step explanation:
I believe the answer would be reflection
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
A manufacturer cuts a piece of metal for a microscope. The resulting piece of metal can be
represented in a coordinate plane by a triangle with vertices A(0, 0), B(3, 8), and C(6,0).
One unit in the coordinate plane represents one millimeter.
Prove that AABC is isosceles.
Answers
The triangle ABC is an isosceles triangle because AB = BC = √73
How to prove that the triangle is an isosceles triangle?From the question, we have the following parameters that can be used in our computation:
A(0, 0), B(3, 8), and C(6,0).
An isosceles triangle is any triangle that has two of its sides to be equal
So, we start by calculating the lengths of the sides using the distance equation represented as follows
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substitute the known values in the above equation, so, we have the following representation
AB = √[(0 - 3)² + (0 - 8)²]
AB = √73
AC = √[(0 - 6)² + (0 - 0)²]
AC = 6
BC = √[(3 - 6)² + (8 - 0)²]
BC = √73
Because AB = BC = √73, then the triangle is an isosceles triangle
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Porfavor ayudenme en este problema, denle click para ver la imagen.
Please help me with this problem, click the image to see it.
Answers
Simplificando ambos lados de la razón, obtendremos la razón simplificada:
657 : 352
¿Como simplificar la razon que está en la imagen?Tenemos la razón:
(3 + 7)*10^2 - 7^3:7^3 + √81
Primero, debemos simplificar ambos lados de la razón, comenzamos con el lado izquierdo, donde primero resolvemos a primer suma, luego el producto, y luego la diferencia.
(3 + 7)*10^2 - 7^3 = 10*10^2 - 7^3 = 10^3 - 7^3 = 657
Para el lado derecho tenemos que recordar que 9 al cuadrado es igual que 81, entonces la raiz quadrada de 81 será igual a 9, reemplazando eso y resolviendo la resta obtendremos:
7^3 + √81 = 7^3 + 9 = 352
Así, podemos simplificar la razón a:
657:352
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find the size of each interior angle of a regular hexagon
Answers
Answer:
Each interior angle = 180° -60° = 120°
Step-by-step explanation: We know that the three angles in a triangle, add up to 180°, and all the three angles are 60° in an equilateral triangle. The total number of angles of an enclosed space is 180° (n-2) where in is the number of sides.
A hexagon has six sides, so: s= 180° (6-2)
s= 180° x 4
s= 720°
now since in a regular shape, each interior angle is equal. We just divide the total interior angle with a number of sides
6.
720° divided by 6 is equal to 120°
Which comparison is true?
Answers
Answer:
c. 50 Ounces> 3 Pounds
Step-by-step explanation:
Can't be A because 3 tons in 6000 pounds
Can't be B because 85 ounces is 5.3 pounds
Cant be D because 60 ounces is 3.75 pounds
it is C because 50 ounces is about 3.13 pounds
Can somone please help me
Answers
Answer:
D
Is correct cus a straight line is 180
. Find the perimeter of a regular pentagon with each side measuring 4.5 inches.
Answers
Answer: 22.5 inches
Step-by-step explanation:
the general formula for finding perimeter is \(p=s+s+s...\)a pentagon contains 5 sides\(p=s+s+s+s+s\)
note that this is a regular pentagon so it must contain 5 congruent sideseach side will be 4.5 inchesthe formula can be changed to \(5(s)\) and solved:\(5(4.5 in)=p\)
∴ 22.5 inches = perimeter of the pentagon