The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid.
a. ( 48 + 48[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
b. ( 48 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
c. ( 48 + 30[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
d. ( 24 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
Answers
Answer:
100πcm².None of the options is correctStep-by-step explanation:
Total surface area of a cone [tex]S[/tex] = [tex]\pi r^{2}+\pi rl\\[/tex]
Since the diagram is half of a cone, its surface area will be [tex]S = \frac{\pi r^{2} +\pi rl}{2}[/tex]
r = radius of the cone
l = slant height
From the diagram diameter of the cone = 16m;
r = 16/2 = 8m
l = 17m
[tex]S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}[/tex]
Related Questions
Work out the size of angle x
Answers
Answer:
x = 121°
Step-by-step explanation:
The lower left interior angle of the triangle is adjacent to 115° and are supplementary, thus
interior angle = 180° - 115° = 65°
The angle round a point is 360°
The vertex interior angle = 360° - 304° = 56°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 65° + 56° = 121°
what is the range of the cubic function f(x)=x^3-15
Answers
The end behavior of a positive cubic function states that as x approaches infinity, y approaches infinity.
Similarly, as x approaches negative infinity, y approaches negative infinity.
This means that when written in interval notation, the range is (-inf, +inf).
solve simultaneous equations 5x+2y=13 2x+6y=26
Answers
Answer:
x = 1 and y = 4
Step-by-step explanation:
5x+2y+2x+6y = 39
7x+8y = 39
Trial and error method:
the answer that satisfies the equation are: x = 1 and y = 4
Hope this helps.
Good Luck
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
5x + 2y = 13 → (1)
2x + 6y = 26 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the term in y
- 15x - 6y = - 39 → (3)
Add (2) and (3) term by term to eliminate y
- 13x = - 13 ( divide both sides by - 13 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
5(1) + 2y = 13
5 + 2y = 13 ( subtract 5 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Solution is (1, 4 )
Point B lies between points A and C on AC. Let x
represent the length of segment AB in inches.
V
Use the segment to complete the statements.
The value of x is
The length of AB in inches is
A
B
3x
с
The length of BC in inches is
20 inches
Answers
Answer:
see below
Step-by-step explanation:
Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.
AB = x = 5 and BC = 3x = 3 * 5 = 15.
answer is this down below
5
5
15
Can someone please help me :((
Answers
Answer:
Step-by-step explanation:
|x| fails the horizontal line test, so these two functions as presented are NOT inverses of one another.
However, if we look ONLY at x < 0, the functions ARE reciprocals; a horizontal line passes through the graph of |x| only once.
An online DVD rental company offers gift certificates that you can use to purchase rental plans.you have gift certificate for $30.The plan you select costs $5 per month.How many months can you purchase with the gift certificate ?
Answers
Answer:
You can get 6 months
Step-by-step explanation:
Take the gift certificate and divide by the cost per month
30/5 = 6
You can get 6 months
Answer:
6
Step-by-step explanation:
You can compute this by dividing 30 by 5, or in otherwords, by finding the amount of times you can add 5 to get 30.
So 5 + 5 + 5 + 5 + 5 + 5 = 30
and since there are 6 5s, your answer is 6
simplify 6(2x+3y) + 3(x-y)
Answers
Answer:
15 (x+y)
Step-by-step explanation:
Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y
Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y
Now add them up
12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)
Answer:
6(2x+3y) + 3(x-y)
12x + 18y + 3x - 3y
15x + 15y
15(x + y)
Step-by-step explanation:
Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. the mean and the standard error of the mean are?
Answers
Answer:
the mean and standard error of the mean are 200 and 2 respectively.
Step-by-step explanation:
Given that ;
the sample size n = 81
population mean μ = 200
standard deviation of the infinite population σ = 18
A population is the whole set of values, or individuals you are interested in, from an experimental study.
The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.
From the given information above;
The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.
i.e
[tex]\mu = \bar \mu_x[/tex] = 200
∴ The mean = 200
and the standard error of the mean can be determined via the relation:
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean =2}[/tex]
Therefore ; the mean and standard error of the mean are 200 and 2 respectively.
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
10, 17, 24, ...
Find the 33rd term.
Answers
Answer:
234
Step-by-step explanation:
The consecutive terms of the sequence have a common difference d
d = 17 - 10 = 24 - 17 = 7
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = 7 , thus
[tex]a_{33}[/tex] = 10 + (32 × 7) = 10 + 224 = 234
What is the solution to the system of equations
Y= 2/3*x + 3
X= -2
Answers
Answer:
y=-4/3+3 you would multiply the numerator by X
Answer:
( - 2, 1 and 2 / 3 )
Step-by-step explanation:
Check the procedure below;
[tex]y = 2 / 3 * x + 3,\\x = - 2\\\\y = 2 / 3 * ( - 2 ) + 3,\\y = - 4 / 3 + 3,\\y = 5 / 3,\\x = - 2\\\\Conclusion; y = 5 / 3, and, x = - 2[/tex]
To derive this solution, we substituted the known value of x into the top equation, to receive the y value;
Solution - ( - 2, 5 / 3 )
Question 1 (1 point)
In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1
plssss I need this now
Answers
Answer:
Model: y = 370 * (1.1)^t
Time for 600 cells: after about 5 hours
Step-by-step explanation:
The function that models an exponencial growth is:
y = Po * (1 + r)^t
Where y is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:
y = 370 * 1.1^t
To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:
600 = 370 * 1.1^t
1.1^t = 600/370
1.1^t = 1.6216
log(1.1^t) = log(1.6216)
t * log(1.1) = log(1.6216)
t * 0.0953 = 0.4834
t = 0.4834 / 0.0953 = 5.0724 hours
In 300 people 60% liked to visit Pokhara, 35% liked chitwan and 20%
didn't like both places, find the number of people who like both, also
draw Venn-diagram.
Ans:45
Answers
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment.......
An article reports "attendance dropped 2% this year, to 5053." What was the attendance before the drop? (Round your answer to the nearest whole number.)
Answers
Answer:
5156
Step-by-step explanation:
Let x represent the initial attendance;
Since the initial attendance dropped by 2%
New attendance = x - 2% of x = x - 0.02x
New attendance = 0.98x
Given;
New attendance = 5053
Equating the values and solving for x;
0.98x = 5053
x = 5053/0.98
x = 5156.12
x = 5156
Initial attendance before the drop = 5156
Simplify:
2[3-5(2+1)2 + 5]
Select one
O a. -74
O b. 89
O c. 14
O d. 74
Answers
So the right answer is -74.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = ( - 74)[/tex]
Step-by-step explanation:
[tex]2(3 - 5 {(2 + 1)}^{2} + 5) \\ 2(3 - 5(2 + 1)(2 + 1) + 5) \\ 2(3 - 5 \times 3 \times 3 + 5) \\ 2(3 - 15 \times 3 + 5) \\ 2(3 - 45 + 5) \\ 2( - 42 + 5) \\ 2( - 37) \\ 2 \times - 37 \\ = - 74[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
At Kenji's Arcade, 1/2 of the games are racing games. Among the racing games, 4/5 are motorcycle-racing games. What fraction of the games at Kenji's Arcade are motorcycle-racing games? Write your answer as a fraction or as a whole or mixed number.
Answers
I believe the answer is 2/5
Ed's Cafe uses 5/6 of a bag of coffee every day. How many days will 7 1/2 bags of coffee last?
Answers
Hope this helped.
[tex]7\frac{1}{2}[/tex] bags of coffee will last for 9 days.
What is unit rate?A unit rate means a rate for one of something.
Given that, Ed's Café uses 5/6 of a bag of coffee every day, we need to find the number of days to use [tex]7\frac{1}{2}[/tex] bags of coffee,
Since, in one day it will use = 5/6 bag of coffee
So, 1 bag of coffee will last for 6/5 of the day,
Therefore,
[tex]7\frac{1}{2}[/tex] bags of coffee = 6/5 × 15/2 = 9
Hence, [tex]7\frac{1}{2}[/tex] bags of coffee will last for 9 days.
Learn more about unit rates, click;
https://brainly.com/question/29781084
#SPJ2
What is the solution of the equation 6x - 3 = -51?
OA.
-9
OB.
-8
O c.
00
OD.
9
Answers
6x - 3 = -51
6x = -51 + 3
6x = -48
—————
X = -8
The solution is -8
Answer:
x = -8
Step-by-step explanation:
[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]
.............................PLease help
Answers
Answer:
12
Step-by-step explanation:
Take the right side of the box and subtract the left side of the box to get the interquartile range
85 - 73 = 12
Simiplify (3a2+1)−(4+2a2). Write the answer in standard form
Answers
Answer:
-6^4+8x^2-4
Step-by-step explanation:
(3a^2+1)(-2a^2-4)
3a square x -2a square= -6^4
3a square x 1= 3x square -2x^2 x -4=8x^2
3x square + 8x^2= 11x^2
-4 x 1 =-4
What are the solutions to the nonlinear system of equations below?
Check all that apply.
x² + y² = 9
[tex] {x}^{2} \frac{ {3}^{2} } - {y}^{2} \frac{ {3}^{2} } = 1[/tex]
Answers
Answer:
B, E
Step-by-step explanation:
[tex]x^{2} +y^{2}=9[/tex]
[tex]\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]
[tex]x^{2} =9-y^{2} \\\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]\frac{9-y^{2} }{3^{2} } -\frac{y^{2} }{3^{2} }=1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]\frac{1}{9} * (9-y^{2} )-\frac{y^{2} }{9} = 1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]1-\frac{2y^{2} }{9} =1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]-\frac{2y^{2} }{9} =0[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]y^{2} =0[/tex]
[tex]x^{2} =9-y^{2}\\y=0[/tex]
[tex]x^{2} =9\\y=0[/tex]
[tex]x=3 \\y=0\\\\or\\\\x=-3\\y=0[/tex]
1. Jin fills up a 510-gallon pool in the backyard for her children. She fills it with the garden hose at a rate of 17 gallons per minute. After it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. The children then get in and have fun for an hour. The pool loses about _1_ gallon of water each minute due to Time (minutes) Amount of Water (gallons) 0 5 20 30 45 60 80 100 120 150 200 2 their splashing and playing. At the end of the hour, they tear the pool while getting out, which causes a leak. The pool then begins to lose water at a rate of 2 gallons per minute. a. Complete the table to show the amount of water in the pool after each minute. b. Create a graph to model the problem situation. Include when the pool will be empty. c. Write a piecewise function that models this problem situation. Explain your reasoning for each piece of the function. d. Identify the x- and y-intercept. Explain what they mean in terms of the problem situation. e. Determine when the pool will have 470 gallons of water in it. Identify the piece(s) of function you used. Explain your reasoning. 2. Jin asks her children to pay her back for the damaged pool. They must give her $15 per week. Together they have $165 in a savings account. a. Write a function to represent the amount of money they have after x weeks. Describe the domain and range of this function in terms of the problem situation. b. To rebuild their account, the children will receive a combined $15 per week in allowances. They start saving the week after their account is depleted and save for another 11 weeks. What are the domain and range of this function and what do they mean in terms of the problem situation? Write a function to represent this part of the graph. c. Graph the equations on the same grid. Is the graph continuous or discrete? Explain your reasoning. d. Write a function to represent the entire graph.
Answers
Answer:
The answer is B
Step-by-step explanation:
Srry it was so late
The ideal mass for a piece of chocolate is 2.5 ounces. The actual mass for a production can vary by, at most, 0.08
ounces. Create an absolute value inequality and solve it to determine the range of chocolate masses.
Answers
Answer:
The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is: [tex]|mass - 2.5| < 0.08[/tex]
Step-by-step explanation:
The ideal mass of the chocolate is 2.5 ounces, although it can vary by 0.08 ounces, this variation can occur for greater masses and lesser ones. Therefore the actual mass of the each chocolate will sit between the ideal mass minus 0.08 and the ideal mass plus 0.08. Therefore we can construct the following inequality:
[tex]-0.08 < mass + 2.58 <0.08\\ |mass - 2.5|< 0.08\\[/tex]
The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is: [tex]|mass - 2.5| < 0.08[/tex]
if 588 digits were used to number the pages of a book how many pages are in this book.
PLEASE HELP!!!!!!
Answers
Answer: 232 pages
Step-by-step explanation:
Total digits = 588
1 digit page number:
1 to 9 = 1 × 9 = 9
Number of pages = 9/1 = 9
2 - digit page number :
10 - 99 = 2 × 90 = 180
Number of pages = 180/2 = 90
3 - digit page number :
588 - (9 + 180) = 588 - 189 = 399
Number of pages with 3 - digits = 399/3 = 133
Therefore, the total number of pages the book has is :
(9 + 90 + 133) = 232 pages
Nahuel colecciona estampillas: la tercera parte de su colección es de países de América ,la cuarta parte ,de países de Europa y tiene 250 estampillas de Asia Y DE Africa ,¿ Cuantas estampillas tiene en toral ¿ ¿ cuántas son de América y cuantas ,de Europa ¿
Answers
Answer:
Total number of stamps is 600
Number of stamps collected from Europe is 150
Number of stamps collected from America is 200
Step-by-step explanation:
1/3 of stamps collected are from America
1/4 of stamps collected are from Europe
While 250 stamps are from Africa and Asia
Now what this means is that the fraction remaining when we subtract the sum of 1/3 and 1/4 is what is equal to 250
Firstly, let’s say the total stamp is x
Now the fraction of x equal to 250 would be ;
1-1/3-1/4 = 1-(1/3 + 1/4) = 1-(7/12) = 5/12
Now, 5/12 of x = 250
5/12 * x = 250
5x = 12 * 250
5x = 3,000
x = 3,000/5
x = 600 stamps
Thus, the total number of stamps collected is 600
The number collected from America is 1/3 * 600 = 200
The number collected from Europe is 1/4 * 600 = 150
PLEASE HELP I NEED UR HELP!!! 6-y+3
Answers
Answer:9-y
Step-by-step explanation:6-7+3= 9-y
Simplified
Answer:
9-y
Step-by-step explanation:
6-y+3=
6+3-y=
9-y
If you were solving for y, then you need to provide a solution for 6-y+3.
If you were solving for the solution, then you need to give y a value.
If you needed to simplify it, then see my answer.
Ken predicts that the average temperature will be-5C in Decjember. If he predicts the temperature will rise 6 C in January and fall 3 C in February,which of the following equations can he use to fin. the sum of the temperatures for those months?
Answers
Answer:
-5+6-3
Step-by-step explanation:
DUH!!!!!
Answer:
[(–5) + (–3)] + 6 = –2 and [6 + (–5)] + (–3) = –2
Step-by-step explanation:
DUH!! (as one guy said) this time im right tho.
What’s 600 divided by 5
Answers
.....................
The calculated division of the numbers 600 divided by 5 is 120
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
600 divided by 5
When represented as an equation, we have
600 divided by 5 = 600/5
Divide 7 by 4
So, we have the following result
600 divided by 5 = 120
Using the above as a guide, we have the following:
the result is 120
Read more about quotient at
brainly.com/question/11418015
#SPJ6
PLEASE HELP IVE BEEN WORKING ON THIS FOR 76 HOURS I WILL MARK BRAINIEST PLEASE HELP I AM SO DESPERATE:A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answers
Answer:
87 mins
Step-by-step explanation:
The percentage of pages she read = 100-53= 47%
47%------------41 mins
53% ------------- x
x= (41×53)/47
x= 46.23 mins
nearest minute = 46 mins
Total reading assignments is 41+46= 87 mins
Answer:
87 minutes.
Step-by-step explanation:
to get the percentage of the read part, do 100% - 53% = 47%
41min = 47%
? = 100%
cross multiply;
41 × 100 ÷ 47 = 87.2340...
round off to get 87 min
I am a three-digit number. My second digit is 4 times bigger than the third digit. My first digit is 3 less than my second digit. Who am I?
Answers
Answer:
285
Step-by-step explanation:
use algebra
third is x
second is 4x
first is 4x-3
x+4x+4x-3
9x-3 = x+x+1+x+2
9x-3=3x+3
12x=6, divide x=2
third is 2, sec is 8, first is 5
Q.2. A cricketer scores the following runs in eight innings :
58, 76,40, 35, 46, 45,0, 100
What will be their mean score ?
a. 400
b. 50
c. 200
Q.3. What will be the range of following data ?
32 , 41 , 28, 54, 35, 26,33 , 23, 38, 40
b. 23
c. 31
a. 25
Answers
Answer: Mean Score = 50 Range = 31
Step-by-step explanation:
58+76+40+35+46+45+0+100=400
400/8=50
Range = subtract smallest number from largest number
54 - 23 = 31