The view factor from the inner surface of the outer sphere (Sphere B) to its own surface is 9/4.
In this case, we have two concentric spheres with diameters of 12 cm and 18 cm. Let's denote the inner sphere as Sphere A and the outer sphere as Sphere B.
The view factor from the inner surface of Sphere B to its own surface (F_AB) can be calculated using the formula:
F_AB = (A_AB) / (A_A)
where A_AB is the area of the surface on Sphere B that can "see" the inner surface of Sphere B, and A_A is the total surface area of Sphere A.
In this case, since the spheres are concentric, the view factor from the inner surface of Sphere B to its own surface is simply the ratio of the surface area of Sphere B that faces the inner surface of Sphere B to the total surface area of Sphere A.
The surface area of Sphere B that faces the inner surface of Sphere B is the same as the surface area of Sphere B itself, which is given by:
A_AB = 4πr_B²
where r_B is the radius of Sphere B (which is half of its diameter).
The total surface area of Sphere A is given by:
A_A = 4πr_A²
where r_A is the radius of Sphere A (which is half of its diameter).
Let's calculate the view factor (F_AB):
Radius of Sphere B (r_B) = 9 cm (since the diameter is 18 cm)
Radius of Sphere A (r_A) = 6 cm (since the diameter is 12 cm)
A_AB = 4π(9²) = 324π
A_A = 4π(6²) = 144π
F_AB = A_AB / A_A
= (324π) / (144π)
= 9/4
Therefore, the view factor from the inner surface of the outer sphere (Sphere B) to its own surface is 9/4.
Learn more about Sphere here
https://brainly.com/question/29409772
#SPJ4
Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?
Bella has a cell phone plan in which she pays for each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26. how many minutes did she use?
Answer:
⇒Let the no. of call minute be = x
⇒& no. of text messages be = y
⇒As total number of minutes used and text messages sent last month was 561
So x + y = 561.................................(1)
⇒Now as call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26
So 8x + 5y = 3426............................(2)
On solving equation 1 & 2 we have
we got x = 354 cent
& y = 207 cent
Answer:
Step-by-step explanation:
x (354,307)
2^2/5+ 3^1/10
HELP ASAP
Answer:
[tex]\sqrt[5]{4}[/tex] + [tex]\sqrt[10]{3}[/tex]
Step-by-step explanation:
We sure can write 2^2/5+ 3^1/10 as [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex]
// use the [tex]a^{\frac{m}{n} } =\sqrt[n]{a^{m} }[/tex] to transform the expression
Convert [tex]2^{\frac{2}{5} }[/tex] to [tex]\sqrt[5]{2^{2} }[/tex] = [tex]\sqrt[5]{4}[/tex] (here a = 2, n = 5, m = 2)
Then convert [tex]3^{\frac{1}{10} }[/tex] to [tex]\sqrt[10]{3^{1} }[/tex] = [tex]\sqrt[10]{3}[/tex] (here a = 3, n = 10, m = 1)
Now we get [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex] = [tex]\sqrt[5]{4}[/tex] + [tex]\sqrt[10]{3}[/tex] . This is the simplified form, which is the answer.
Joan measures the mass of a solid metal object. It has a mass of 102.0 g. She also measures the volume of that object and the object has a volume of q 027 mL a)
What is the density of the metal object?
What metal could it be made Of?
Step-by-step explanation:
P=m/v
P=102,0 ÷027
P=3,77 that is the density
It is made of copper
What is the square root?
what’s the answer, help please !
I need help on this assignment, I need to find the angles of the blank spaces. Anything is appreciated!
Answer:
3: 97
10: 97
9: 83
5: 97
7: 83
16: 97
Im 100% on these answers bc Ive already taken this class :)
Answer:
Step-by-step explanation:
9) m∠3 = m∠2 {Vertically opposite angles}
m∠3 = 97
m∠10 = m∠2 {Corresponding angle}
m∠10 = 97
m∠9 +m∠10 = 180 {Linear pair}
m∠9 + 97 = 180
m∠9 = 180 - 97
m∠9 = 83
m∠6 = 83
m∠5 + m∠6 = 180 {linear pair}
m∠5 + 83 = 180
m∠5 = 180 - 83
m∠5 = 97
m∠7 = m∠6
m∠7 = 83
m∠8 = m∠5 {Vertically opposite angles}
m∠8 = 97
m∠16 = m∠8 {Corresponding angle}
m∠16 = 97
What is the value of the expression 52 + 22?
Answer:
55 + 22 = n
= 77
n = 77
Hope this helps! :D
Step-by-step explanation:
In a survey conducted on 200 people, it was found that 105 of them prefer coffee, 50 prefer
tea and the remaining prefer both. Find the fraction of people who prefer both tea and coffee.
Given:
Total number of people = 200
People who prefer coffee = 105
People who prefer tea = 50
The remaining prefer both.
To find:
The fraction of people who prefer both tea and coffee.
Solution:
The number of remaining people who prefer both tea and coffee is
Remaining people = Total number of people - People who prefer coffee - People who prefer tea
Remaining people = 200 - 105 - 50
= 45
Now, the fraction of people who prefer both tea and coffee is
[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]
[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]
[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]
Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.
A bag contains 5 red marbles, 6 blue marble, 3 green marbles, 4 black marbles, 2 yellow marbles. A marble will be drawn from a bag and replaced 200 times. What is a resonanle predition for each times a yellow or green marble will be drawn
Answer:
50 times
Step-by-step explanation:
Red = 5 ; blue = 6 ; green = 3 ; black = 4 ; yellow = 2
Total number of marbles :
(5 + 6 + 3 + 4 + 2) = 20
Probability of drawing a yellow or green marble :
P(yellow) + p(green)
(2 / 20) + (3 / 20)
5 / 20
Hence, Number of times from 200 draws :
(5 / 20) * 200
= 50
Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.
Step-by-step explanation:
tsa= total surface area
csa=curved surface area
answer is in the picture
A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?
Answer:
43 degrees
Step-by-step explanation:
every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so
90+47 = 137 now we can take 180 - 137 = 43
so your third angle is 43
hope I helped!!
Seven subtracted from a number is -18
Answer:
-11
Step-by-step explanation:
Just add 7 to -18
-18 + 7 = -11
Hope this helped :)
(If you want to check, just do -11 - 7)
April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?
Answer:
Disagree
Step-by-step explanation:
The lines are parallel, which means they have different y-intercepts but the same slope.
April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.
Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.
Complete Question
On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.
Answer:
15 miles
Step-by-step explanation:
From the above question,
3 inches = 90 miles
1/2 inch = x miles
Cross Multiply
3 inches × x miles = 90 miles × 1/2 inch
x miles = 90 miles × 1/2 inch/3 inches
x miles = 15 miles
Therefore, a measure of 1/2 inch on the map would represent 15 miles
Find the 11th term of the geometric sequence 10,-40,160, ...
Answer: The 11th term is 6144
Step-by-step explanation: luv ya boo thang
9 2/3 - 4 1/5. ====???
Answer:
Step-by-step explanation:
5.46666666667
Answer:
5 7/15
Step-by-step explanation:
9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15
Someone please let me know the answer
Answer:
The answer is 30°
Step-by-step explanation:
[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]
Which of these ordered pairs is a solution to the inequality y - 2x < -3? ( (2,4) (-2, 3) (3, 4) (1,-1)
Answer:
(3, 4)
Step-by-step explanation:
help quick due in 10 mins
Answer:
95
Step-by-step explanation:
We have the expression q over 19 = 5 and are asked to solve for q.
We have a dillemma here, q is in a fraction, to solve, all we need to do is get rid of this fraction. Since 19 is the denominator, we can multiply it by both sides :
[tex]\frac{q}{19} = 5[/tex]
19 * 5
95
Therefore :
q = 95
find the area of the shape using Pythagoras Theorem please
Answer:
122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)
Step-by-step explanation:
to get the other triangle side do 18-11= 7
then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2
49+b^2= 121
121-49= b^2
72=b^2
b= 8.48(simplified)
then use that side to get the area of the rectangle:
8.42×11=92.62
then get area of the triangle:
1/2(8.42×7)=29.47
add the 2 areas to get total area:
92.62+29.47=122.09
3a + b = 225
b = a - 15
A.) 3a + b = a -15
B.) 3a + a = 225
C.) 3a + a - 15 = 225
D.) b = 3a + b
Answer:
c
Step-by-step explanation:
can someone pls help me
write 3lgx + 2-lgy as a single logarithm
Answer:
log(x^3*y^(-2))
Step-by-step explanation:
two log rules you need to know for this question:
alogb = log(a^b)
logx + logy = logxy
you can start by getting rid of the term in front of the log, or a
also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely
log (x^3) + log (y^-2) = log (x^3*y^-2)
Joe lost 4 kg and now weighs 60 kg. What percentage of his original weight did he lose?
Answer:
60-4 is 56
and 56 by 100
Step-by-step explanation:
The percentage of his original weight did he lose is 56%.
Given that,
Joe lost 4 kg and now weighs 60 kg.Calculation:[tex]= ( 60 - 4) \div 100[/tex]
= 56%
learn more about the percentage here: https://brainly.com/question/16616666
True or False Exponential Growth occurs when the same number is added to
the consecutive output values.
Answer:
False
Step-by-step explanation:
Because you're not supposed to add to the output values, you need to multiply the output values.
True or False: An decrease in a particle's thermal energy will decrease its speed. *
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The total cost of flooring a room at Rs .9.50 per square meter is Rs 760, If the length of the room is 10 m, find its breadth.
Answer:
8 metre
Step-by-step explanation:
cost of flooring per square metre = Rs .9.50
total cost of flooring= Rs760
Area of room= 760/9.50
= 80 m^2
Area of the given room= Lenght × Breadth
length of the room is = 10 m
80= 10 × Breadth
Breadth= 80/10= 8 m
Hence, breadth of the room is 8metre
A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?
Answer:
2.5 x 1.5= 3.75
15.75/3.75=4.2
Answer- 4.2
Step-by-step explanation:
HELP ME PLEASE!!!!ITS DUE TODAY!!
Answer:
Step-by-step explanation: