The cone pictured has a surface area of ______ square centimeters. (Use 3.14 for π.)
Answers
Given,
Diameter of the cone = 12 cm
Using the above, the radius of the cone can be determined, which is half the diameter of the cone
∴ Radius of the cone (r) = 12/2 = 6 cm
Height of the cone (h) = 7 cm
Using the above, slant height (s) = √(r² + h²) = √(6² + 7²) = √36 + 49 = √85 = 9.22 cm
π = 3.14
Now using the above values, we can calculate the total surface area of the cone.
Total surface area of the cone (A) = Lateral surface area of the cone (L) + Base surface area of the cone (B)
Lateral surface area of the cone (L) = π r s = 3.14 x 6 x 9.22 = 173.70 cm²
Base surface area of the cone (B) = π r² = 3.14 x 6² = 113.04 cm²
Total surface area of the cone = L + B = 173.70 + 113.04 = 286.74 cm²
Related Questions
you have a full job that pays 2400 per month you decide to take a part time job delivering newspapers that pay 200 per week if 15% is withheld for taxes from both jobs how much would you make in a year after taxes
Answers
. SOMEONE PLEASE HELP ME?!?!
5. This is the Reed family budget. How much discretionary income does the family have each month?
Housing $800.00
Groceries $425.00
Utilities $285.00
Miscellaneous $120.00
Transportation $150.00
Insurance $286.00
Savings $200.00
Healthcare $60.00
Clothing $50.00
Total Expenses $2,376.00
Net income $2,850.00
$______
8. Paula created a monthly budget. A pie graph shows a clear picture of where her money is spent. How much of the circle would be shaded for the total of housing, utilities, food, and insurance?
Housing $500.00
Insurance $283.00
Food $225.00
Utilities $174.00
Miscellaneous $75.00
Transportation $64.00
Clothing $50.00
Medical $25.00
Savings $20.00
10. You are making a pie graph of the expenses in the Reed family budget. How much of the pie graph would be used to represent the amount spent on housing?
Housing $800.00
Utilities $285.00
Groceries $425.00
Miscellaneous $120.00
Transportation $150.00
Insurance $286.00
Savings $200.00
Healthcare $60.00
Clothing $50.00
Total Expenses $2,376.00
Net income $2,850.00
A. half of the circle
B. less than half
C. over 75% of the circle
D. 50% to 75%
Total Expenses $1,416.00
A. half of the circle
B. less than half
C. over 75% of the circle
D. 50% to 75%
Answers
Discretionary income = Net income - Total Expenses
Total Expenses = $2,376.00
Net income = $2,850.00
Discretionary income = $2,850.00 - $2,376.00 = $474
Q8. The answer is 83.47% (over 75% of the circle).
Total Expenses = Housing + Insurance + Food + Utilities + Miscellaneous + Transportation + Clothing + Medical + Savings
Total Expenses = $500.00 + $283.00 + $225.00 + $174.00 + $75.00 + $64.00 + $50.00 + $25.00 + $20.00 = $1416
Total of housing, utilities, food, and insurance is: $500.00 + $174.00 + $225.00 + $283.00 = $1182
Calculate the percent of $1182 in $1416:
$1182 : $1416 * 100 = 83.47%
Q10. The answer is 33.67% (less than half).
Total Expenses $2,376.00
Housing = $800.00
Calculate the percent of $800 in $2,376.00:
$800 : $2,376.00 * 100 = 33.67%
Damion found a new game system he wanted to buy. the price of the system was reduced from $250 to $200. by what percentage was the price reduced?
Answers
250-200=50
50 is the amount reduced.
50/250=1/5 or 20%
Solve the Inequality.
-5r + 6 ≤ -5(r+2)
Answers
There is no values that make the inequality true, the inequality has no solution.
To solve the inequality -5r + 6 ≤ -5(r+2), the answer is that this inequality has no solution.
Solve the Inequality:
-5r + 6 ≤ -5(r+2)
Distribute the -5 on the right side: -5r + 6 ≤ -5r - 10
Combine like terms: 6 ≤ -10
Since 6 is not less than or equal to -10, the inequality has no solution.
solve the exponential equation 9^8x = 27
Answers
Answer:
[tex]x=\frac{3}{16}[/tex]
Step-by-step explanation:
Given : Exponential function [tex]9^{8x}=27[/tex]
We have to solve the given exponential equation.
Consider the given exponential function [tex]9^{8x}=27[/tex]
[tex]\mathrm{Convert\:}9^{8x}\mathrm{\:to\:base\:}3[/tex]
[tex]9^{8x}=\left(3^2\right)^{8x}[/tex]
Function becomes,
[tex]\left(3^2\right)^{8x}=27[/tex]
Convert 27 to base 3, we have,
[tex]\left(3^2\right)^{8x}=3^3[/tex]
Apply exponent rule, [tex]\left(a^b\right)^c=a^{bc}[/tex]
We have, [tex]3^{2\cdot \:8x}=3^3[/tex]
[tex]\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2\cdot \:8x=3[/tex]
Simplify, we have,
[tex]16x=3[/tex]
Thus, [tex]x=\frac{3}{16}[/tex]
If your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that?
(Do not include units in your answer.)
Answers
Answer:
14 questions.
Step-by-step explanation:
We have been given that your teacher tells you to do questions 28 through 41 in your math book for homework. We are asked to find he total number of questions.
Since we need to solve questions 28 through 41, this means we have to solve question number 28 and 41 as well.
We know that 28-37 would be 10 questions and 38-41 would be 4 questions.
[tex]\text{Total questions}=10+4[/tex]
[tex]\text{Total questions}=14[/tex]
Therefore, you need to solve 14 questions to complete the homework.
Alex has 520 yards of fencing to enclose a rectangular area.
A retangle that maximises the enclosed area has a length of _ yards and a width of _ yards.
The maxium area is _____ yards
Answers
We can solve this by understanding that the area is maximized by a square
Therefore L=w.
p=2w+2w=520=4w
w=130
Area
A=wL=130(130)= 16900 square yards
The first thing we are going to do for this case is define variables.
We have then:
w: width
l: length
The perimeter is given by:
[tex] 2w + 2l = 520
[/tex]
The area is given by:
[tex] A = w * l
[/tex]
The area as a function of a variable is:
[tex] A (w) = w * (260-w)
[/tex]
Rewriting we have:
[tex] A (w) = -w ^ 2 + 260w
[/tex]
To obtain the maximum area, we derive:
[tex] A '(w) = -2w + 260
[/tex]
We equal zero and clear the value of w:
[tex] -2w + 260 = 0
2w = 260
[/tex]
[tex] w = \frac{260}{2}
w = 130
[/tex]
Then, the length is given by:
[tex] l = 260 - w
l = 260 - 130
l = 130
[/tex]
Finally, the maximum area obtained is:
[tex] A = w * l
A = 130 * 130
A = 16900
[/tex]
Answer:
A retangle that maximizes the enclosed area has a length of 130 yards and a width of 130 yards.
The maxium area is 16900 square yards
multiplicative inverse of -3.4
Answers
What is the range of the function h(x) = -8x?
Answers
The range of the function h(x) = -8x is all real numbers, as there are no restrictions on the output the function can produce. This is typical of a linear function.
Explanation:The range of a function refers to the possible outputs it can produce. In the case of the function h(x) = -8x, it is a linear function, and there are no restrictions on the values that x can take, meaning x can be any real number between -∞ and +∞. The output, h(x), therefore, can be any real number, also between -∞ and +∞, given that it will be the result of -8 multiplied by x. Therefore, the range of the function h(x) = -8x is all real numbers from -∞ to +∞.
Learn more about range of a function here:https://brainly.com/question/29145252
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Factor completely: 2x2 + 6x − 80
(2x − 5)(x + 8)
(2x − 10)(x + 8)
2(x − 5)(x + 8)
2(x − 10)(x + 8)
...?
Answers
[tex]2x^2+6x-80 \\2(x^2+3x-40) \\2(x^2+8x-5x-40) \\2(x(x+8)-5(x+8)) \\2(x+8)(x-5)[/tex]
Quadratic functions are functions that has a degree of 2. The factored form of the function is (2x-10)(x+8)
Factorization of functionsQuadratic functions are functions that has a degree of 2. Given the function below;
2x^2 + 6x - 80
Factorize
2x^2+16x - 10x - 80
Group
(2x^2+16x)-(10x+80)
Factor out the GCF
2x(x + 8)-10(x+8)
(2x-10)(x+8)
Hence the factored form of the function is (2x-10)(x+8)
Learn more on factoring here: https://brainly.com/question/25829061
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Which pair of variables has a clear causal link between the two named variables?
the number of hats sold and the number of mittens sold in a city
the amount of butter and the amount of bread consumed by a family
the number of notebooks sold and the number of pens sold in a stationery store
the number of air conditioners sold per day in a city and the daily temperature
the number of hours a person can swim and the depth of the pool
NextReset
Answers
Answer: The number of air conditioners sold per day in a city and the daily temperature
Step-by-step explanation:
We know that if there is a causal relationship between two variables then one variable is responsible for causing the other variable.
the number of hats sold and the number of mittens sold in a city.there is no causal relationship between the variables since both are independent variables.
the amount of butter and the amount of bread consumed by a family .there is no causal relationship between the variables since both are independent variables.
the number of notebooks sold and the number of pens sold in a stationery store .there is no causal relationship between the variables since both are independent variables.
the number of air conditioners sold per day in a city and the daily temperature .there can be causal relationship between the variables since by increasing or decreasing temperature the the number of air conditioners sold per day in a city can be increased or decreased respectively.
the number of hours a person can swim and the depth of the pool.there is no causal relationship between the variables since both are independent variables.
TRUE or FALSE. If chord AB Is 3 inches from the center and chord CD is 5 inches from the center of the same circle, then chord CD is the longer chord.
Answers
Answer:
False.
Step-by-step explanation:
Given,
Chord AB Is 3 inches from the center and chord CD is 5 inches from the center of the same circle,
Since, the distance of a chord is inversely proportional to the length of the chord,
That is, the chord that has the smallest distance from the center is largest.
3 < 5
⇒ The distance of chord AB from center < The distance of Chord CD from center
By the above statement,
⇒ The length of chord AB > The length of chord CD.
Hence, the given statement is FALSE.
The sales tax rate in jans town is 7.5.if she buys 3 lamps for $23.59 each and a sofa for $769.99 , how much sales tax does she own ?
Answers
Now, lets we total the money that she must pay without tax ( just for 3 lamps and 1 sofa ) :
3 lamps = 3 . $23.59 = $70.77
1 sofa = $ 769.99
Total amount = $769.99 + $70.77 = $840.76
We have to find tax amount, the tax amount of the total amount is about 7.5% of the price. Then we have to adding the tax amount into the total amount. So that we have the Total amount including the tax.
tax amount = 7.5% . 840.76 = $63.057
Total amount (inc. tax amount) =
$840.76 + $63.057 = $903.817
Therefore, she must pay those sofa and lamps about $903.817. So expensive huh? =))
Your poor health causes you to miss one work day every two weeks. You do not get paid when you are out sick. You normally work 8 hours a day and get paid $9.29 per hour. How much pay are you losing each year
Answers
The annual loss of income due to missing one work day every two weeks at $9.29 per hour, working 8 hours per missed day, is $1,932.32.
Explanation:To calculate the amount of pay being lost each year due to missing one work day every two weeks, we need to consider the weekly work schedule and hourly wage.
Step-by-Step CalculationFirst, determine the hourly wage and the number of hours missed per day. In this case, the hourly wage is $9.29 and each missed day accounts for 8 hours of work.
Second, calculate the daily loss of income due to illness. Multiply the hourly wage by the number of hours missed: $9.29 x 8 = $74.32.
Third, calculate how many work days are missed per year. Since one work day is missed every two weeks, and there are 52 weeks in a year, there would be a total of 52 / 2 = 26 missed work days per year.
Finally, multiply the daily loss of income by the number of missed work days per year to find the annual loss: $74.32 x 26 = $1,932.32.
The annual loss of income due to missing one day of work every two weeks at an hourly wage of $9.29 is $1,932.32.
Round this number 15,680
Answers
nearest thousand: 16,000
nearest hundred: 15,700
nearest ten: 15,680
hope this helps you
What is the expression in radical form?
(5x4y3)^2/5
Enter your answer, in simplest form, in the box.
Answers
What are the least common multiples of 7 and 11
Answers
isabella bought 1.1 kilograms of top quality hamburger meat at $5.00 per kilogram. how much did it cost?
Answers
The cost of 1.1 kilograms of hamburger meat at $5.00 per kilogram is $5.50
Multiply the weight of the meat (1.1 kg) by the price per kilogram ($5.00):
1.1 kg x $5.00/kg = $5.50.
Therefore, it cost Isabella $5.50 to buy 1.1 kilograms of top-quality hamburger meat.
Integrate sin^-1(x) dx
please explain how to do it aswell ...?
Answers
_______________
Evaluate the indefinite integral:
[tex]\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx\qquad\quad\checkmark}[/tex]
Trigonometric substitution:
[tex]\mathsf{\theta=sin^{-1}(x)\qquad\qquad\dfrac{\pi}{2}\le \theta\le \dfrac{\pi}{2}}[/tex]
then,
[tex]\begin{array}{lcl} \mathsf{x=sin\,\theta}&\quad\Rightarrow\quad&\mathsf{dx=cos\,\theta\,d\theta\qquad\checkmark}\\\\\\ &&\mathsf{x^2=sin^2\,\theta}\\\\ &&\mathsf{x^2=1-cos^2\,\theta}\\\\ &&\mathsf{cos^2\,\theta=1-x^2}\\\\ &&\mathsf{cos\,\theta=\sqrt{1-x^2}\qquad\checkmark}\\\\\\ &&\textsf{because }\mathsf{cos\,\theta}\textsf{ is positive for }\mathsf{\theta\in \left[\dfrac{\pi}{2},\,\dfrac{\pi}{2}\right].} \end{array}[/tex]
So the integral [tex]\mathsf{(ii)}[/tex] becomes
[tex]\mathsf{=\displaystyle\int\! \theta\,cos\,\theta\,d\theta\qquad\quad(ii)}[/tex]
Integrate [tex]\mathsf{(ii)}[/tex] by parts:
[tex]\begin{array}{lcl} \mathsf{u=\theta}&\quad\Rightarrow\quad&\mathsf{du=d\theta}\\\\ \mathsf{dv=cos\,\theta\,d\theta}&\quad\Leftarrow\quad&\mathsf{v=sin\,\theta} \end{array}\\\\\\\\ \mathsf{\displaystyle\int\!u\,dv=u\cdot v-\int\!v\,du}\\\\\\ \mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta-\int\!sin\,\theta\,d\theta}\\\\\\ \mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta-(-cos\,\theta)+C}[/tex]
[tex]\mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta+cos\,\theta+C}[/tex]
Substitute back for the variable x, and you get
[tex]\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx=sin^{-1}(x)\cdot x+\sqrt{1-x^2}+C}\\\\\\\\ \therefore~~\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx=x\cdot\,sin^{-1}(x)+\sqrt{1-x^2}+C\qquad\quad\checkmark}[/tex]
I hope this helps. =)
Tags: integral inverse sine function angle arcsin sine sin trigonometric trig substitution differential integral calculus
Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term.
7x3y3 + 4 − 11x5y2 − 3x2y
Answers
Answer:
Always double check first but I am pretty sure that it is 6
which of the following represents the most accurate estimation if 75-33?
Answers
11/9 converted to a mixed number is
Answers
To write an improper fraction as a mixed number, divide the denominator into the numerator.
Image is provided.
Therefore, the improper fraction 11/9 can be written as the mixed number 1 and 2/9.
Antarctica comprises about 10.5% of the total land area on Earth. Antarctica has a surface area of about 5,400,000 square miles. What is the total land area on Earth?
Answers
(5.4 x 10^6)/10.5 = 514285.71
514285.71 x 100 = 51,428,571 square miles
Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
Answers
....................................................
look on graph and you see it....
A, 4, D, H, 16, M, 25, _, _ What are the next two in the sequence?
Answers
There are two numbers between A and D, three between D and H, four between H and M, which means that S is the fifth number after M.
I think you are missing number 9 between D and H, which means that 4 + 5 =9, 9 + 7 = 16, 16 + 9 = 25, and 25 + 11 = 36, 2 is added to each number.
The sequence alternates between letters and squares of integers. The letters seem to follow a particular positional increment pattern, and the numbers are squares of consecutive positive integers. The missing elements in the sequence are R and 36.
The given sequence is: A, 4, D, H, 16, M, 25, _, _. This sequence appears to have two separate patterns interleaved. One pattern is a sequence of letters and the other is a sequence of numbers. For the letters part, A (1st letter), D (4th letter), H (8th letter), M (13th letter), so the next letters might follow an increasing pattern with the position of the letters in the alphabet. For the numbers, we have 4, 16, 25 which are squares of 2, 4, and 5 respectively. To solve for the next elements in the pattern, we would have to decipher the rule that connects the letters with their positions and the next squares of numbers.
The numbers are squares of consecutive positive integers: 2², 4², 5². The next number is 6² which is 36. Following the pattern in letters, after M (the 13th letter), the next letter should be the letter that is five positions ahead because the interval between the previous letters increased by 3 each time (D is 3 letters after A, H is 4 letters after D, M is 5 letters after H), so the next letter should be R (the 18th letter, which is 5 letters after M).
Therefore, the sequence should continue with R, 36.
34 - 2(x + 17) = 23x - 15 - 3x what is x.
Answers
What is y=5/6x-3 in standard form
Answers
take out any common factors
so..
5/ 2(3×-1)
The perimeter of dawna's new flat screen television is 70 inches. the ration from length to width is 4:3. write and solve an algebraic equation to determine the dimensions of the television
Answers
PLEASE HELP
A line has slope -5/3. Through which two points could this line pass?
A. (12,13), (17,10)
B. (16,15), (13,10)
C. (0,7), (3,10)
D. (11,13), (8,18)
Answers
slope formula:
m = y2 - y1 / x2 - x1
A) m = 10-13 / 17-12 = -3/5
B) m = 10-15 / 13-16 = -5/-3
C) m = 10-7 / 3 -0 = 3/3 = 1
D) m = 18-13/8-11 = 5/-3 or -5/3
D. (11,13); (8,18) are the two points the line could pass
The border line of the linear inequality 4x-2y<1 is solid.
true or false?
Answers
Solid =
either ≤ or ≥
Dash = < or >
Hope it helps you