The value of x and y are 10 and 10√3
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
Here the hypotenuse is 20 and the opposite to angle 30 is x and the adjacent is y
Therefore;
sin30 = x/20
1/2 = x/20
2x = 20
x = 20/2 = 10
cos 30 = y/20
√3/2 = y/20
2y = 20√3
y = 20√3/2
y = 10√3
therefore the value of x and y are 10 and 10√3
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
Levi placed 10 weights on a scale during science class. If each weight weighed 0. 7 grams, what did the scale read?
Levi placed 10 weights on the scale, each weighing 0.7 grams. The total weight of the weights is 7 grams. Therefore, the scale will read 7 grams.
Levi placed 10 weights on the scale, and each weight weighed 0.7 grams. To find the total weight, we need to multiply the weight of one weight by the number of weights. Therefore, the total weight of the weights is 0.7 x 10 = 7 grams. This means that the scale will read 7 grams.
The principle behind this calculation is the law of conservation of mass. This law states that the total mass of a closed system remains constant, regardless of any changes that take place within the system. In this case, the system is the scale and the weights. Since the scale is a closed system, the total mass of the weights placed on it must be equal to the reading on the scale.
Therefore, when Levi placed 10 weights on the scale, the total weight of the weights is 7 grams, and the scale will read 7 grams. This calculation can be used to determine the weight of any number of objects placed on a scale, as long as the weight of one object and the number of objects are known.
To learn more about law of conservation of mass click here, brainly.com/question/28711001
#SPJ11
6. Find the area of the figure below*
Find the area of the figure below.
832 in^2
768 in^2
416 in^2
384 in^2
The area of the figure given above which is a trapezium would be = 384 in². That is option D.
How to calculate the area of a trapezium?To calculate the area of a trapezium, the formula that should be used is given below:
Area of cylinder = 1/2 (a+b) h
where;
a = 24 in
b = 16 in
h = 19.2 in
Area of cylinder = 1/2× (24+16) × 19.2
= 20×19.2
= 384 in²
Therefore the area of the given shape above which is a cylinder would be = 384 in^2
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
There is at least one boy in my dance class, but more than 94% of the total number of
students are girls. What is the least number of students that could be in my class?
Step-by-step explanation:
.94x = x-1
.06x = 1
x = 16 2/3 which is not a whole number so there must be at LEAST 17 people in class
then if one is a boy there are 16 girls 16/17 = 94.11 % girls with one boy
There are 1234 t shirts that need to be shipped. Each box can fit 32 t shirts. How many boxes are needed to ship all of the t shirts
There are 1234 t shirts that need to be shipped. To ship 1234 t-shirts, a total of 39 boxes are required, as each box can hold 32 t-shirts.
To calculate the number of boxes required to ship 1234 t-shirts, we need to divide the total number of t-shirts by the number of t-shirts that can fit in one box. In this case, as each box can fit 32 t-shirts, we need to divide 1234 by 32.
Using long division, we can find that 32 goes into 1234, 38 times with a remainder of 10. However, we still have 10 t-shirts that need to be shipped, which means we need an additional box to fit them. Therefore, the total number of boxes needed to ship 1234 t-shirts is 39 (38 boxes to fit 1216 t-shirts and 1 additional box to fit the remaining 10 t-shirts).
It's always important to ensure that all the items fit comfortably in the boxes without any damage or risk of items falling out. In this case, we can also use this information to plan and optimize the shipping process by arranging the boxes according to the available storage and transportation capacity.
To learn more about long division click here, brainly.com/question/28824872
#SPJ11
A survey was given to a random sample of 85 voters in the United States to ask about
their preference for a presidential candidate. Of those surveyed, 68 respondents said
that they preferred Candidate A. Determine a 95% confidence interval for the
proportion of people who prefer Candidate A, rounding values to the nearest
thousandth.
The 95% confidence interval for the proportion of people who prefer Candidate A is 0.8 ± 0.080.
How do we calculate?Confidence Interval = Sample Proportion ± Margin of Error
We first determine the values for each term:
Sample Proportion = Number / Total sample size
Sample Proportion = 68/85
Sample Proportion = 0.8
Standard Error = √((Sample Proportion * (1 -Sample Proportion )) / n)
n = sample size
Standard Error = √((0.8 * (1 - 0.8)) / 85)
Standard Error = 0.041
We then calculate the Margin of Error = Critical Value * Standard Error Margin of Error = 1.96 * 0.041
Margin of Error = 0.080
We substitute all these values and calculate for :
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.8 ± 0.080
Learn more about Confidence Interval at:
https://brainly.com/question/15712887
#SPJ1
Which one of the following statements is true? A. If 4 3 h = 12 , then h = 16 . B. If − 2 5 r = − 20 , then r = − 50 . C. If 1 2 = − 3 7 q , then q = − 1 1 6 . D. If 3 8 = 24 c , then c = 9 .
The only True statement is B: If −2/5r = −20, then r = −50
We can solve each equation to determine which statement is true.
A. If 4/3h = 12, then h = 16.
To solve for h, we can multiply both sides of the equation by 3/4:
4/3h * 3/4 = 12 * 3/4
h = 9
Therefore, statement A is false.
B. If −2/5r = −20, then r = −50.
To solve for r, we can multiply both sides of the equation by -5/2:
-2/5r * -5/2 = -20 * -5/2
r = 50
Therefore, statement B is true.
C. If 1/2 = −3/7q, then q = −116.
To solve for q, we can multiply both sides of the equation by -7/3:
1/2 * -7/3 = -3/7q * -7/3
q = 21/3 = 7
Therefore, statement C is false.
D. If 3/8 = 24c, then c = 9.
To solve for c, we can divide both sides of the equation by 24 * 8/3:
3/8 * 3/24 * 8/3 = 24c * 3/24 * 8/3
c = 1/3 * 8
c = 8/3
Therefore, statement D is false.
Therefore, the only true statement is B: If −2/5r = −20, then r = −50.
To know more about True statement.
https://brainly.com/question/31124830
#SPJ11
show a composite solid consisting of a cube of edge 28cm and a square based pyramid of height 16cm calculate the volume of the solid
The volume of the composite shaped solid is V = 26,133.33 cm³
Given data ,
To calculate the volume of the composite solid consisting of a cube and a square-based pyramid
Volume of a cube = (edge length)³
V ( cube ) = ( 28 )³
V ( cube ) = 21,952 cm³
Now , The volume of a pyramid is given by the formula:
Volume of a pyramid = (base area * height) / 3
Base area = ( 28 )²
Base area = 784 cm²
Now , V ( pyramid ) = ( 784 x 16 ) / 3
V ( pyramid ) = 4,181.33 cm³
So , volume of composite solid = 21,952 cm³ + 4,181.33 cm³
V = 26,133.33 cm³
Hence , the volume is V = 26,133.33 cm³
To learn more about volume of cube click :
https://brainly.com/question/27770332
#SPJ1
Alice drops a rock off a building that is 64 feet tall. If the equation for height as a function of time is: y = -16+2 + 400 where t is time in seconds and y is height in feet, how many seconds will it take for the drone to hit the ground? Now, set the equation equal to zero and solve.
By using Algebraic methods It will take 5 seconds for the rock to hit the ground when dropped from a building that is 64 feet tall, given the equation y = -16t^2 + 400.
The equation is y = -16t^2 + 400, where y represents the height of the rock in feet and t represents the time in seconds.
To find out how many seconds it will take for the rock to hit the ground, we need to set the equation equal to zero because the ground is at a height of zero.
0 = -16t^2 + 400
Now, we can solve for t using Algebraic methods.
First, we can subtract 400 from both sides of the equation:
-400 = -16t^2
Next, we can divide both sides by -16:
25 = t^2
Finally, we can take the square root of both sides:
t = ±5
Since we can't have negative time, we know that it will take 5 seconds for the rock to hit the ground.
So, to summarize, it will take 5 seconds for the rock to hit the ground when dropped from a building that is 64 feet tall, given the equation y = -16t^2 + 400.
For more questions on Algebraic methods.
https://brainly.com/question/29114368
#SPJ11
Fabian has some dimes and some quarters. He has no more than 28 coins worth a minimum of $4.75 combined. If Fabian has 12 dimes, determine the minimum number of quarters that he could have.
If there are no possible solutions, submit an empty answer.
Answer:
Step-by-step explanation:
The total value of his quarters is Q x $0.25. Therefore, the combined value of his coins is:
$1.20 + Q x $0.25 = $4.75 - $3.55
Simplifying the equation, we get:
Q x $0.25 = $1.20 + $1.20
Q x $0.25 = $2.40
Q = $2.40 / $0.25
Q = 9.6
Since Q must be a whole number, the minimum number of quarters that Fabian could have is 10. (If he had only 9 quarters, the combined value of his coins would be $1.20 + $2.25 = $3.45, which is less than the required minimum of $4.75.)
IF YOU SOLVE THIS CORRECTLY WITH EXPLANATION U WILL GET BRAINILEST
4a(a^2+7a+4)
first, you distribute, so
4a ([tex]a^{2}[/tex]+7a+4)
[tex]4a^{3}[/tex]+28[tex]a^{2}[/tex]+16a
and that's your answer! :)
thanks in advance for brainliest!!
4a(a^2+7a+4) can be simplified by multiplying 4a to each term inside the parenthesis:
4a(a^2+7a+4) = 4a * a^2 + 4a * 7a + 4a * 4
This gives us:
4a^3 + 28a^2 + 16a
Therefore, 4a(a^2+7a+4) simplifies to 4a^3 + 28a^2 + 16a.
Find the volume of the triangular prism with a height of 2.8, width of 4.2, and a length of 8.
Answer:
Step-by-step explanation:
The formula for this is:
V = (1/2) x b x h x l
b= base
h=height
l=length
V= (1/2) x 4.2 x 2.8 x 8
so...I think the volume could be 47.04m^3?
PRO TIP: If you want to solve anything with volume, just write down every single formula they have for volume or area. It is good to memorize formulas like that.
The volume of the triangular prism with a height of 2.8, width of 4.2, and a length of 8 is 46.96 cubic unit.
The base area of the triangular cross-section must be multiplied by the prism's height to determine its volume. The triangle cross-section in this instance has a base of 4.2 and a height of 8.
The following is the formula to determine a triangle's area:
(Base * Height) / 2 = Area
When the values are plugged in, we get:
Base = 4.2
Size = 8
Area = (4.2 * 8) / 2 = 33.6 / 2 = 16.8
Next, increase the prism's base area by its height:
Volume = Base Area * Height = 16.8*2.8 = 46.96
The triangular prism therefore has a 46.96 cubic unit volume.
To know more about volume of prism
brainly.com/question/30863976
6 times 2 wholes 3/8 =?
The simplification of the given terms is 14.25 or 114/8
A numerical expression is a piece of algebraic information stated in the form of numbers and variables that are unknown.
We are given that 6 times 2 wholes 3/8
Let the number be x
So,6 times 2 wholes 3/8 means;
x = 6 x 2 3/8
x = 6 x 19/8
x = 14.25 or 114/8
To know more about an expression follow;
brainly.com/question/19876186
#SPJ1
stuck on this question
Answer:
The age of this parrot is 16 years old, and this parrot knows 68 words.
a box of baseballs cost $66.12. what equation represents the cost,c, of n boxes
Hello !
c = the cost
n boxes = 66,12n
c = 66,12n
suppose the largest possible cutout length is 3.5 inches. over what interval of x does the volume of the box decrease as the cutout length gets larger?
The volume of the box decreases as the cutout length increases over the interval (0, 3.5/2) and increases over the interval (3.5/2, infinity).
Let the dimensions of the rectangular box be x, y, and z. The volume of the box is given by V = xyz. Suppose that the cutout length is along the x-axis, and let it be denoted by w. Then, we have:
V = (x - w)yz
Taking the derivative of V with respect to w, we get:
dV/dw = -yz
The volume of the box will decrease as the cutout length increases if dV/dw < 0, and it will increase if dV/dw > 0. Since y and z are positive, dV/dw will be negative if w is less than x/2 and positive if w is greater than x/2. Therefore, the volume of the box decreases as the cutout length increases over the interval (0, x/2) and increases over the interval (x/2, infinity).
In our case, the largest possible cutout length is 3.5 inches, so the interval over which the volume of the box decreases as the cutout length gets larger is (0, 3.5/2), which is (0, 1.75). The interval over which the volume of the box increases is (3.5/2, infinity), which is (1.75, infinity).
Learn more about Volume here: brainly.com/question/13338592
#SPJ11
suppose we want to select a set of 4 coins from a box containing 6 different pennies and 8 different dimes. how many of the possible sets contain 2 pennies and 2 dimes?
Answer:
420 possible sets------------------------
Use a combination formula.
We want to select 2 pennies from a set of 6 and 2 dimes from a set of 8.
The number of ways to do this is:
C(6,2) * C(8,2) = (6!/(2!4!)) * (8!/(2!6!)) = 15 * 28 = 420Therefore, there are 420 possible sets of 4 coins that contain 2 pennies and 2 dimes.
Problem 2.19 The radius of an atom of gold (Au) is about 1.35 Å Part A Express this distance in nanometers (nm). Express your answer using three significant figures. 90 AED Submit Request Answer Part B Express this distance in picometers (pm). Express your answer using three significant figures. 90 | ΑΣΦ ? pm Submit Resuest Answer The radius of an atom of gold (Au) is about 1.35 Å. Part How many gold atoms would have to be lined up to span 9.5 mm? Express your answer using two significant figures. 190 | ΑΣΦ 6. ? atoms Submit Request Answer Part D if the atom is assumed to be a sphere, what is the volume in em of a single Au atom Express your answer using three significant figures. 190 AEC ? cm Sub Request Answer Pe Feedback
a) the distance in picometers is 135 pm. b) the distance in picometers is 135 pm. c) The answer is 7.0 × 10^4 atoms. d) The volume of a single gold atom is 9.15 × 10^(-24) cm^3.
Part A:
1.35 Å = 0.135 nm (since 1 Å = 0.1 nm)
Therefore, the distance in nanometers is 0.135 nm.
Part B:
1.35 Å = 135 pm (since 1 Å = 100 pm)
Therefore, the distance in picometers is 135 pm.
Part C:
The length of one gold atom is 1.35 Å = 1.35 × 10^(-10) m.
The number of atoms required to span a distance of 9.5 mm = (9.5 × 10^(-3) m) / (1.35 × 10^(-10) m) = 70,370 atoms.
Rounding to two significant figures, the answer is 7.0 × 10^4 atoms.
Part D:
Assuming the gold atom is a sphere, its volume can be calculated as:
V = (4/3)πr^3, where r is the radius of the atom.
Substituting the value of the radius (1.35 Å = 1.35 × 10^(-10) m) gives:
V = (4/3)π(1.35 × 10^(-10))^3 = 9.15 × 10^(-30) m^3.
Expressing this in cubic centimeters gives:
V = 9.15 × 10^(-30) × 10^6 = 9.15 × 10^(-24) cm^3.
Therefore, the volume of a single gold atom is 9.15 × 10^(-24) cm^3.
Learn more about volume at: brainly.com/question/28058531
#SPJ11
The following formula is for the area, A ,of the curved surface area of a cone. A=pierl where r is the radius and i
The formula A = πrl represents the curved surface area of a cone, where r is the radius of the base of the cone and l is the slant height.
The curved surface area of a cone is the area of the lateral or side surface of the cone. It is called curved because the surface of the cone is not flat but rather curved, like the surface of a curved cylinder. To derive this formula, we can first imagine a cone with a base that has a circumference of 2πr, where r is the radius of the base. If we cut along a generator line of the cone, we can then unroll the curved surface of the cone to form a sector of a circle with radius l and central angle 2π. The area of this sector is πl^2, which represents the total area of the curved surface of the cone. We can simplify this formula to A = πrl by substituting the value of l with the Pythagorean theorem, l^2 = r^2 + h^2, where h is the height of the cone.
Learn more about curved surface area here: brainly.com/question/30135502
#SPJ11
The following graph shows the amount of money Emma has in her savings account. The equation represented by this graph is: y = -10x + 110
A: How much money will Emma have after 10 weeks?
B: At how many weeks will Emma have $50 dollars in her account?
sherry buys a 5-ounce cup of ice cream. the summer heat melts the ice cream before she can eat any. what describes the weight of the melted ice cream?
The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.
a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.
When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.
Know more about weight here:
https://brainly.com/question/31659519
#SPJ11
Alang and his children went into a restaurant where they sell hamburgers for $7.50 each and drinks for $2.50 each. Alang has $95 to spend and must buy a minimum of 18 hamburgers and drinks altogether. If Alang decided to buy 15 drinks, determine the maximum number of hamburgers that he could buy
Alang can buy at most 10 hamburgers if he buys 15 drinks.
How to solve for the maximum number that can be boughtLet's say Alang buys x hamburgers. Then, he must buy (18 - x) drinks to meet the requirement of buying a minimum of 18 hamburgers and drinks altogether.
The cost of x hamburgers is 7.5x dollars.
The cost of (18 - x) drinks is 2.5(18 - x) = 45 - 2.5x dollars.
The total cost must be less than or equal to $95:
7.5x + (45 - 2.5x) ≤ 95
Simplifying and solving for x, we get:
5x ≤ 50
x ≤ 10
So Alang can buy at most 10 hamburgers if he buys 15 drinks.
Read more on maximum number here:https://brainly.com/question/29795588
#SPJ1
analysis is a form of horizontal analysis that can reveal patterns in data across periods. it is computed by taking the (analysis period amount/base period amount) x 100.multiple choice question.ratiotrendmodified horizontal
The type of analysis described in the statement is ratio analysis.
Ratio analysis is a tool used to evaluate the financial performance of a company by comparing different financial ratios over time or between companies. It involves calculating different ratios such as liquidity ratios, profitability ratios, and solvency ratios and comparing them across different periods to identify trends or patterns in the data. The ratio analysis formula mentioned in the statement is used to calculate the percentage change in a ratio between two periods, with the base period amount serving as the denominator.
To know more about ratio analysis,
https://brainly.com/question/24261880
#SPJ11
doris needs to renew her real estate license for the first time, and she's already completed 20.5 hours of continuing education. how many additional hours of ce does she need to complete?
Doris needs to complete a total of 30 hours of continuing education to renew her real estate license for the first time. As she has already completed 20.5 hours of CE, she needs to complete an additional 9.5 hours of CE.
It's important to note that continuing education requirements vary by state and licensing board, so it's always a good idea to check with the relevant authorities to ensure you meet all the requirements for license renewal. Real estate agents are typically required to complete a certain number of continuing education hours within a specific time frame in order to maintain their license and stay up-to-date with industry developments and best practices. This is important to ensure they are equipped with the necessary knowledge and skills to provide quality services to their clients.
In summary, Doris needs to complete an additional 9.5 hours of CE to meet the 30-hour requirement for renewing her real estate license for the first time.
To know more about License visit:
https://brainly.com/question/29278468
#SPJ11
10. The remainder, when the polynomial is divided P(r) = ax³ + 3x² + bx + 15 is divided by (x - 1) is -12. When it is divided by (x - 2), the remainder is -21. Find (a) the value of the constants a and b. (b) Factorize P(x) completely.
The value of the constants a and b is 2 and -32 respectively.
The complete factorization of the polynomial is (x - 3)(x + 5) (2x - 1).
What are the values of the constants?The value of the constants is calculated as follows;
P(r) = ax³ + 3x² + bx + 15
If x - 1 is factor with a remainder of -12, then x = 1
P(1) = a1³ + 3(1²) + b(1) + 15 = -12
a + 3 + b + 15 = -12
a + b = -30
b = -30 - a
also, if x - 2 is a factor with a remainder of -21, then x = 2;
P(2) = a(2)³ + 3(2²) + b(2) + 15 = -21
8a + 12 + 2b + 15 = -21
8a + 2b = -48
4a + b = - 24
Substitute the value of b into the equation;
4a - 30 - a = - 24
3a = 6
a = 2
b = -30 - a
b = -30 - 2
b = -32
The quadratic equation will become;
P(r) = 2x³ + 3x² -32x + 15
We will factorize the equation as follows;
x - 3 is a factor;
2x² + 9x - 5
----------------------------------
x - 3 √ (2x³ + 3x² -32x + 15)
- (2x³ - 6x²)
----------------------------------
9x² - 32x + 15
- (9x² - 27x )
----------------------------
-5x + 15
- ( -5x + 15)
-----------------------------
0
We will factorize 2x² + 9x - 5
= 2x² - x + 10x - 5
= x(2x - 1) + 5(2x - 1)
= (x + 5)(2x - 1)
The complete factor = (x - 3)(x + 5) (2x - 1)
Learn more about factorization here: https://brainly.com/question/18187355
#SPJ9
25 points!!!what is the quotent? a-3/7 divided by 3-a/21
To divide (a-3/7) by (3-a/21), we need to multiply the numerator by the reciprocal of the denominator.
Reciprocal of (3-a/21) is (21/(3-a))
So,
(a-3/7) / (3-a/21) = (a-3/7) * (21/(3-a))
Now, we can simplify by canceling out common factors between the numerator and denominator.
(a-3/7) * (21/(3-a)) = (3-a)(a-3)/(7*21)
= -(a^2 - 6a + 9)/147
= -(a-3)^2/147
Therefore, the quotient is -(a-3)^2/147.
Function g can be thought of as a translated (shifted) version of f(x)=x^2
write the equation of g(x)
The equation of the red graph, g(x) is g(x) = (x + 3)² - 4
How to calculate the equation of the red graphFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
The blue graph passes through the vertex (0, 0)The red graph passes through the vertex (-3, -4)This means that
g(x) = f(x + 3) - 4
Recall that
f(x) = x²
This means that
g(x) = (x + 3)² - 4
This means that the equation of the red graph is g(x) = (x + 3)² - 4
Read more about transformation at
brainly.com/question/27224272
#SPJ1
Ms. Beck has invested $1000 that will gain 2% annual interest, which can be calculated using the expression \large 1000\left(1.02\right)^t, where`t` is the number of years.
1. Determine how much money Ms. Beck would have after one year.
t =
Final Amount =
2. Determine how much money Ms. Beck would have after one half of a year.
t =
Final Amount =
Answer: t=1
Final Answer=$1,020
t=1/2
Final Answer=$1,009.95
Step-by-step explanation: This is correct
its cammy, im telling that your cheating (and i definitely wasnt looking up this same question)
can you help me with math
Answer:
B
Step-by-step explanation:
203.95 is equal to 4 of the tickets plus 11.95
You can write this as
203.95=4(price of ticket)+11.95
4(price of ticket)=192
Divide by 4
The price of a ticket is 48.
The equation would be 11.95+48t because its 48 times the amount of ticket plus the service fee.
Cher has a motorcycle worth $11,357. She has $605 in cash, and
$1,811 in her savings account. Her only debt is the ken she took out
to buy the motorcycle. If Cher's net worth is $3,934, what is the
Amount of the loan?
The amount of the loan Cher took out to buy the motorcycle is $9839.
Here, we have,
To find the amount of the loan, we need to calculate Cher's total assets and then subtract her total liabilities (debts).
Given:
Value of motorcycle = $11,357
Cash = $605
Savings account = $1,811
Net worth =$3,934
Total assets = Value of motorcycle + Cash + Savings account
Total assets = $11,357 + $605 + $1,811
Total assets = $13,773
To find the amount of the loan, we subtract the total assets from the net worth:
Loan amount = Total assets - Net worth
Loan amount = $13,773 -$3,934
Loan amount = $9839
Hence, The amount of the loan Cher took out to buy the motorcycle is $9839.
Learn more about liabilities here:
brainly.com/question/13164046
#SPJ1
Use the formula to find the surface area of the figure. Show your work.
Formula Used:-
[tex] \qquad \hookrightarrow{ \underline{ \overline{ \boxed{ \sf{Surface \: Area =3\pi {r}^{2} }}}}}\\[/tex]
SolutioN:-[tex] \sf \longrightarrow \: Surface \: Area =3\pi {r}^{2} \: ) \\ [/tex]
[tex]\sf \longrightarrow \: Surface \: Area =3 \times \frac{22}{7} \times {r}^{2} \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area =3 \times \frac{22}{7} \times {11}^{2} \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area =3 \times \frac{22}{7} \times 11 \times 11 \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area = \frac{3 \times 22 \times 11 \times 11}{7} \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area = \frac{66 \times 11 \times 11}{7} \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area = \frac{66 \times 121}{7} \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area = \frac{7986}{7} \: \\[/tex]
[tex]\sf \longrightarrow \: Surface \: Area = 1140.8 \: {ft}^{2} \: \\[/tex]
______________________________________________
Therefore, Surface Area of Hemisphere is 1140.8 ft²
Answer:
1140.8 ft²Step-by-step explanation:
We know that,
[tex]\large {\boxed {\boxed{\bf\leadsto \: surface \: area \: of \: hemisphere \: = 3\pi {r}^{2} }}}[/tex]
Here,
Radius = 11ftNow
Putting the given value[tex]\large \sf\leadsto3 \times \frac{22}{7} \times 11 {}^{2} [/tex]
[tex]\large \sf\leadsto3 \times \frac{22}{7} \times 121[/tex]
[tex]\large \sf\leadsto \: \frac{66}{7} \times 121[/tex]
[tex]\large \sf\leadsto \frac{7986}{7} [/tex]
[tex] \boxed{\large \bf\leadsto1140.8 \: {ft}^{2} }[/tex]