Answers
Answer:
[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]
Step-by-step explanation:
The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].
[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]
We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].
Now add these equations together to get our equation.
[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]
Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].
=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]
Related Questions
Six toilet rolls cost $1.99. Nine toilet rolls cost $2.69. Is cost directly proportional to number of toilet rolls? Explain your reason!
Answers
Answer:
not directly proportional
Step-by-step explanation:
if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.
first
one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )
second
one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )
since the unit costs are different there is not a directly proportional relationship.
Answer:
No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.
Step-by-step explanation:
$1.99 divided by 2 = 0.995
$1.99 + 0.995 = $2.985
$2.985 > $2.69
Hope this helps!!! :)URGENT!!!
The number of customers that come to a certain clothing store each day follows a normal distribution. The mean number of customers is 428, and the standard deviation is 32. What is the probability that more than 524 customers will come to the store on a given day?
Answers
Answer: 0.15%
Step-by-step explanation: edmentum
Answer:
Step-by-step explanation:
the answer is 0.15
AABC~ ADEF. What is the scale factor?
Help please
Answers
Answer:
3:1 or 3
Step-by-step explanation:
the left triangle is scaling up to the right triangle. 5/15 is 1/3
7/21 is 1/3
4/14 is 1/3
since it is scaling UP, the scale factor is 3:1
Given triangle ABC, which equation could be used to find the measure of ∠C?
a
tan m∠C = one half
b
sin m∠C = square root of 5 over 5
c
sin m∠C= square root of 5 over 2
d
tan m∠C = 2
Answers
The measure of the angle ∠C in the triangle ABC can be gotten using tan m∠C = 2
What is an equation?An equation shows how two or more numbers and variables are related to each other.
On the other hand, trigonometric ratios are used to show the relationship between the sides and angles of a right angled triangle.
The basic equations of the trigonometry ratios are
sinФ = opposite/hypotenuse; cosФ = adjacent/hypotenusetanФ = opposite/adjacentUsing the above as a guide, and the given triangle:
We have:
tan m∠C = opposite/adjacent
Substitute the known values in the above equation, so, we have the following representation
tan m∠C = 6/3
Evaluate
tan m∠C = 2
Hence, the true equation is (d) tan m∠C = 2
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What is the Volume of this Prism?
Answers
Answer:
240
Step-by-step explanation:
Which expression is equivalent
Answers
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
How many one-half cubes with dimensions of One-half times 1 times 1 fit in a unit cube?
1
2
4
6
Answers
Answer:
4 i think
Step-by-step explanation:
i think 2 but i dont know for sure ahahahaha
Apply In Bhutanese architecture, the faces of
buildings are trapezoids. If the row of decorative
brick shown is 28.5 feet wide, what is the width
of the base of the building?
Answers
Answer:
Understand Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that ... 9. △ADW ≅ △CDZ. 9. SAS. 9. Apply In Bhutanese architecture, the faces of buildings are trapezoids. If the row of decorative brick shown is 28.5 feet wide, what is the width of the base of the building? 25 ft. 16 ft. 16 ft.
Step-by-step explanation:
Given the parent functions f(x) = 5x - 1 and g(x) = 3^x-
9, what is g(x) - f(x)?
Answers
Answer:
g(x) - f(x) = 3^x - 9 - (5x - 1) = 3^x -5x - 8
If 7/8 is multiplied by 4/5, will the product be greater than wait her of the two factors Explain.
Answers
Answer:
[tex] \frac{7}{8} \times \frac{4}{5} = \frac{7 \times 1}{2 \times 5} \\ = \frac{7}{10} [/tex]
Can anyone help with these 2 problems explain how you got the answer please I’ll give brainleist.
Answers
Answer:
It is best it you guess. What grade are you in
Step-by-step explanation:
Answer:
I think <BCH would also be 108 since its corresponding angles
and with <MNJ would also be 97 since its alternate exterior angles
a dealer sold printing machine for 47460 including 13% vat. find the original price(excluding vat).
Answers
Answer:
42000
Step-by-step explanation:
Original price (before VAT) is 100% of price.
VAT is 13%, of the original price so final price is 113% of original price.
113% = 1.13
original price = 47460/1.13 = 42000
find the volume please help! Use 3.14 for pi, and round to the nearest hunredth when necessary.
Answers
Answer:
Explanation is^{}
in a file
bit.^{}
ly/3gVQKw3
How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of
Answers
Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.
What is the makeup of the Electoral College? There are 538 electors in all. The number of electors allotted to each state is equal to the sum of its two Senate seats plus the number of representatives in the House of Representatives.Three electoral votes are granted to the District of Columbia under the 23rd Amendment. According to the amount of each State's population as established by the Census, each State is given a certain number of electors equal to the sum of its U.S. Senators (which are always two) and U.S. Representatives.There are two steps involved in selecting each State's electors. The political parties in each State first select elector candidate slates before the general election. Second, during the general election, each State's voters choose its electors by voting ballots.To learn more about Electoral College refer to :
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52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer yes or no for EACH one
Answers
Answer:
Step-by-step explanation:
Which of the parabolas has a maximum?
(1) y = 8x² + 6x + 6
(2) y = -2x² + 6x - 6
(3) y = 2x² - 6x + 6
(4) y = 6x² - 6x-6
Answers
Answer:
(2) y = -2x² + 6x - 6
Step-by-step explanation:
Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.
The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.
Answers
Answer:
22cm
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
21.98 rounded = 22
Step-by-step explanation:
There are two formulas to find circumference either C=2πr or C=πd.
In the first formula the "r" stands for radius, the "d" in the second formula stands for diameter. Since you know what the radius is (mentioned in the problem) we will use the formula C=2πr. You will substitute "r" for 3.5, it will look like this C=2π3.5. Now you will multiply 3.5x2=7. Now you are left with C=7π. Now you would multiply 7 times π (you could use 3.14 as a substitution for π) 7x3.14=21.98. Since you need to round to the nearest tenth, your answer would be 22.
Find the value of
5x? if x =
- 3
Answers
Answer:
-15
Step-by-step explanation:
5x-3=-15
Step-by-step explanation:
if y varies jointly as x and the inverse of z and y = -5 and x = -5 and z = 6, find y when x = 5 and z = -8
Answers
Step-by-step explanation:
y varies inversely as x=
y= k/xz
-5= k(-5)/6
k= 6
y=6/xz
y=6/5×-8
y= -3/20
Juanita changed $20 into euros when the exchange rate was €1=$1.2685.
How many euros did she receive?
Give your answer correct to 2 decimal places.
Answers
How do you write 4 7/8 as a decimal
Answers
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
Please Help me find the area of the figure round to the nearest hundredth nessary
Answers
Answer:
912 cm²
Step-by-step explanation:
Formula for area of triangle: 1/2bh
So you'll first multiply the base by the height of the triangle
48 x 38 = 1,824
Then you'll multiply 1,824 by 1/2(which is the same as dividing it by 2)
1,824 ÷ 2 = 912
ind the Average Rate of Change of the table below for the interval 0 < x < 4
Answers
The average rate of change is equivalent to 2.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is the table as shown below -
[x] : 0 1 2 3 4
[y] : -2 -3 1 3 6
The rate of change in the interval 0 < x < 4 is -
AROC = (6 + 2)/(4 - 0)
AROC = 8/4
AROC = 2
Therefore, the average rate of change is equivalent to 2.
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On amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe
Answers
Answer:
Step-by-step explanation:
Here's the complete question:
It cost Nike $55.00 to make the Kyrie 5, but it is selling for $130.19. Calculate the markup/percent Increase for the shoe. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original shoe and the price of the amazon shoe
The percentage Increase of the shoe will be:
= Selling price - Cost/ Cost × 100
= (130.19 - 55.00) / 55.00 × 100
= 75.19 / 55.00 × 100
= 136.71%
The percent difference between the price of the original shoe and the price of the amazon shoe will be:
= (130.19 - 108)/130.19 × 100
= (22.19 / 130.19) × 100
= 17%
Consider the differential equation dy/dx=xy^4.
(b) Find ⅆ2yⅆx2 in terms of x and y. Determine the concavity of all solution curves for the given differential equation in Quadrant II. Give a reason for your answer.
(c) Find the particular solution y=f(x) to the given differential equation with initial condition f(4)=−1.
Answers
The differential equation [tex]\frac{dy}{dx} = xy^{4}[/tex] is considered and the solutions for the following questions are found.
What is a differential equation?
A differential equation is an equation that links the derivatives of one or more unknown functions. Differential equations contain derivatives, which might be either partial derivatives or ordinary derivatives.
The differential equation describes a relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.
Given,
[tex]\frac{dy}{dx} = xy^{4}[/tex]
a) Now finding [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^{4} + 4xy^{3} \frac{dy}{dx}[/tex] = [tex]y^{4} + 4xy^3 (xy^4) = y^4 + 4x^2y^7[/tex]
In quadrant II, the values of x < 0 and the values of y >0.
So [tex]\frac{d^{2} y}{dx^{2} }[/tex] = [tex]y^4 + 4x^2y^7[/tex] > 0 for all values of x and y in quadrant II.
Therefore the concavity is up for of all solution curves of the given differential equation.
b)
[tex]\frac{dy}{dx} = xy^{4}\\\\\frac{dy}{y^4} =x dx\\\\\int {\frac{dy}{y^4} } \, = \int {x} \, dx \\\\\frac{y^{-4+1} }{-4+1} = \frac{x^{2} }{2} + c\\\\\frac{y^{-3} }{-3} = \frac{x^{2} }{2} +c[/tex]
Now it is given that initial condition is f(4) = -1
So substituting x =4 and y = -1 is the above equation to find c, we get
[tex]\frac{-1^{-3} }{-3} = \frac{4^2}{2} +c \\\\\frac{1}{3} = 8 + c\\\\c = \frac{1}{3} - 8 = \frac{-23}{8}[/tex]
Therefore the solution y = f(x) is to the given differential equation with initial condition f(4)=−1.
[tex]\frac{y^{-3} }{-3} = \frac{x^{2} }{2} -\frac{23}{8}\\ \\ \frac{1}{3y^3} = \frac{46 - 8x^2 }{16} = \frac{23 - 4x^2 }{8}\\\\y = \sqrt[3]{\frac{8}{3(23-4x^2)} }[/tex]
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Limx→0 e^x -e^5/ x-5
Answers
Answer:e5
Step-by-step explanation:
Here you go
Is the first side “SW=XW” or “ST=XU”?
Answers
Answer:
SW =XW and ST=XU and UW=TW
Step-by-step explanation:
All are true and correct since the two triangles are congruent
Angle S=X are congruent
Sides UW=WT are congruent
HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY
Answers
The table that is a justification for the given solution to the system of equations is table 1
How to determine the table that bears the correct values?The two linear equations are
y=4x-9 and
y=2x-5
We that the following points for x : -1, 0, 1, 2, 3
When we substitute the values in the two equations we will have
x y₁ y₂
-1 -13 -9
0 -9 -5
1 -5 -3
2 -1 - 1
3 3 1
Conclusively the values of y₁, and y₂ are shown in the table above
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Elizabeth buys 50 meters of ribbon to make bows for the cheer squad. Each bow uses 1.3 meters of ribbon. How many bows can Elizabeth make? *
Answers
Answer:
38 bows
Step-by-step explanation:
50 ÷ 1.3 ≡ 38 6/13
38 × 1.3 = 49.4
Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.
(100 points)A catering company offers meal pairings that include an appetizer of either salad or soup and an entree of either chicken or fish. At one event, they serve a total of 78 meals. Of the 46 meals that include salads, 21 also include fish. There are 35 meals with fish as the entree. Determine which two-way frequency table represents this situation. Jk
Answers
Two-way table showing meal pairings with frequency of salad, soup, chicken and fish.
Meal Pairing Salad Soup Chicken Fish
Frequency 46. 32. ?. 35
To calculate the frequency of chicken, subtract the frequency of salad and fish from the total of 78 meals.
Frequency of chicken
= 78 - 46 - 35
= 27.
Meal Pairing Salad Soup Chicken Fish
Frequency 46. 32. 27. 35
The total number of meals served is 78. Of the 46 meals that included salads, 21 also included fish. This means that the frequency of fish is 35. The frequency of chicken can be calculated by subtracting the frequency of salad and fish from the total number of meals. The frequency of chicken is 27. The two-way frequency table representing this situation is as follows: Meal Pairing, Salad, Soup, Chicken, Fish; Frequency, 46, 32, 27, 35. This table shows that there were 46 meals with salad, 32 meals with soup, 27 meals with chicken, and 35 meals with fish.
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