A cylinder has a volume of 216π cubic feet and a height of 18 feet. what is the area of the base? cylinder v = bh 1. substitute the known measures into the formula: 216π = b(18) 2. apply the division property of equality: 216π 18 = b 18 18 the base has an area of pi feet squared.
The cylinder is a three-dimensional shape, and the base area of the cylinder is 12π square feet
How to determine the base area?The given parameters are:
Volume = 216π cubic feetHeight = 18 feet.The volume of a cylinder is calculated using:
Volume = Base area * Height
So, we have:
216π = Base area * 18
Divide both sides by 18
Base area = 12π
Hence, the base area of the cylinder is 12π square feet
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Answer:
12
Step-by-step explanation:
a square prism measuring 4 ft along each edge of the base and 6ft tall
Which statement about the hyperbola is true? the point (3.6, 0) is the directrix. the point (−3.6, 0) is the center. the point (2, 0) is a focus. the point (−2, 0) is a vertex.
The statement about the hyperbola is true is D. the point (−2, 0) is a vertex.
What is a hyperbola?It should be noted that a hyperbola simply means an open curve that has two branches and usually symmetric.
In this case, the statement about the hyperbola is true is that the point (−2, 0) is a vertex.
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ertyuidfghjkl;'
oiuytrew
Answer:
jklgyukdj
Step-by-step explanation:
This table shows the ticket price for each person to visit a zoo in winter.
adult = £18
child (3-17) = £14
child ( under 3) = free
A family of two adults, one child aged 8 and one child aged 1 visit the zoo in winter.
In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?
Answer: £9.3 more
Step-by-step explanation:
Price for winter tickets: £18 + £18 + £14 = £50
Summer tickets pricing:
£18 + 20% = £21.6
£14 + 15% = £16.1
Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3
Subtract winter tickets from summer tickets for difference:
£59.3 - £50 = £9.3
#A crane is lowering a concrete block from a height of 240 feet above the ground at a constant rate of 4.8 feet per second.
Which function can be used to determine h, the height, in feet, above the ground of the concrete block after s seconds?
1 h = 4.8 - 240s
2 h = 240 -4.8s
3 h = 240 + 4.8s
4 h = 240s + 4.8
Answer:
2
Step-by-step explanation:
Increase £15837.77 by 18.5%
if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 15837.77 & 100\\ x& 118.5 \end{array} \implies \cfrac{15837.77}{x}=\cfrac{100}{118.5} \implies (15837.77)(118.5)=100x \\\\\\ \cfrac{(15837.77)(118.5)}{100}=x\implies 18767.76\approx x[/tex]
4 If 2 is a zero of
polynomial f(x) = ax² - 3(a-1)x-1,
then find the value of a.
Answer:
a = 2.5
Step-by-step explanation:
It is mentioned that 2 is a zero of the polynomial f(x) = ax² - 3(a - 1)x - 1
So that means :
⇒ f(x) = 0
⇒ x = 2
Substituting and solve for a :
⇒ 0 = a(2)² - 3(a - 1)(2) - 1
⇒ 0 = 4a - 6(a - 1) - 1
⇒ 0 = 4a - 6a + 6 - 1
⇒ 2a = 5
⇒ a = 2.5
The cost of a calculus textbook is $185.67 after a 6.75% sales tax is applied. What was the cost of the textbook before the tax was added?
Answer:
the cost of the textbook was $173.14 before the tax was added
Step-by-step explanation:
6.75% of $185.67 is 0.0675 x $185.67 = $12.53
$12.53 is 6.75% of $185.67
sine $185.67 is the total AFTER we subtract the amount
$185.67 - $12.53 = $173.14
Garrett runs a catering service for large
parties. He needs 27 whole tomatoes for
his salad to feed 120 guests. Write a
proportion which illustrates how many
whole tomatoes, w, he would need to feed
400 guests.
Hello! :D
_________________________________
ANSWER :
90 TomatoesSOLUTION :
You will need x.
So, [tex] \sf{\frac{27}{120} = \frac{x}{400} } \ \\ \\ \ \sf{x = \frac{27 \times 400}{120} =\:} \sf \red{90\:}[/tex]__________________________________
Ambition Succes(Geometry)
A circle has a radius of 13.5 cm What is the exact length of an arc formed by a central angle measuring 120 degrees
[tex]\textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=13.5\\\theta =120\end{cases}\implies \begin{array}{llll}s=\cfrac{(120)\pi (13.5)}{180}\implies s=9\pi \\\\\\s\approx 28.27\end{array}[/tex]
what is the interquartille range of the given data set
11, 12, 14, 15. 18. 19. 21, 23. 25, 55
A. 25
B. 9
C. 44
Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. The median is 18.5.
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. The lower quartile is 14.
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. The upper quartile is 23.
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. The interquartile range is 9.
the sum of the squares of two consecutive even integers is 884. determine the integers.
Answer:
(2x+1)(1) = 84. 2x+1= 84. 2x = 83.
Step-by-step explanation:
Enter the value of p so that the expression 18n + 54 is equivalent to 2p (n+3)
Answer:
p = 9
Step-by-step explanation:
The distributive property can be used to factor the given expression.
__
18n +54 = 18(n +3)
Matching this to the desired form, we see ...
18(n +3) = 2p(n +3)
2p = 18
p = 9 . . . . . . . divide by 2
The triangle shown below has an area of 22 units, 4 Find the missing length. = units
Answer:
Step-by-step explanation:
the area of a triangle is area= 1/2 x base x height. ( half multiply by base multiply by height)
so plug in 22 for area 22=1/2 x 4 x height
22/2=11
11 is the length
hope this helps.
PLEASE HELP IM STRUGGLING AND IM FAILING GEOMETRY
Answer:
2.6 m
Step-by-step explanation:
The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.
Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178
178 = 2(10x) + 2(5 x 10) + 2 (5x)
Simplify!
178 = 20x + 100 + 10x
Subtract 100 from both sides and combine x's
78 = 30x
divide both sides by 30
x = 2.6 m
answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)
Find the value of the given equation : 2 (x-1) - 6 =24
The dot plots show the number of minutes that Julia and Hannah practiced each day for their piano recital. Compare the dot plots. Move the correct names to the blanks to complete each sentence. You may use a name more than once.
Julia has the greater median
Julia also has the greater mean.
Averagely, Julia practiced for a greater amount of time each day.
What is the Mean and Median of a Data Set?Mean = sum of data points / number of data points.
Median = center/middle of the data distribution.
Mean for Julia = (20 + 20 + 30 + 60 + 60 + 60 + 70 + 70 + 100 + 100 + 100 + 115 + 115 + 115)/14 = 69.6
Mean for Hannah = (20 + 20 + 30 + 30 + 45 + 45 + 45 + 70 + 70 + 70 + 75 + 90 + 90 + 120)/14 = 58.6
Median for Julia = 70
Median for Hannah = (45 + 70)/2 = 57.5
Julia has the greater median and also has the greater mean.
Averagely, we can conclude that Julia practiced for a greater amount of time each day.
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15 POINTS, please complete this problem and explain to me how you did it lol, there's so many of these in my homework and I'm in desperate need of help
Answer:
5
Step-by-step explanation:
you have to do a^2+b^2=c^2, so a you don't know so skip that then for the b u would put 12^2 wich is 144 then you know the c witch us 13^2 wich is 169. then solve the equation which would give you a answer of 5
A shop sells apples and oranges in the ratio 5:2.
It sells apples for 30p and oranges for 40p.
If the shop sells 35 pieces of fruit altogether, how much money does the shop receive? Give your answer in
pounds and pence.
Total money does the shop receive is 0.12 Pound
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
According to the question
A shop sells apples and oranges in the ratio 5:2
Let constant multiple of the ratio as a
Now,
Apples = 5a
Oranges = 2a
Total pieces of fruit sell = 35
i.e
5a + 2a = 35
7a = 35
a = 5
Therefore,
Apples = 5*5 = 25
Oranges = 2*5 = 10
Now ,
Shop sells apples at = 30p
Shop sells oranges at = 40p
Total money the shop receive = 30 * 25 + 40 * 10
= 1150 p
Paisa to Indian rupee : 100p = ₹1
= ₹11.50
Now, Indian rupee to pounds :
1 Indian Rupee equals 0.011 Pound (according to current market value)
₹11.50 is equal to 0.12 Pound
Hence, Total money does the shop receive is 0.12 Pound .
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what is the inverse of the function
a
b
c
d
what is the standard form for this equation
(x+2) (x+15)
Answer:
x^2 + 17x + 30
Step-by-step explanation:
Just multiply the components from first bracket to components of second bracket, then add like terms and rearrange to write numbers from highest exponents to lowest.
what is the value of C
Answer:
website na para sa di marunong mag math haha cutting study value of c is vintamin C = Glox C
A true-false test has 4 questions. What is the chance of answering all questions correctly by guessing?
Answer:
Thus, in total, there are 24=16 ways to answer the four questions. Only one of these 16 sequences is correct. Assuming each of these 16 sequences is equally likely to occur (as would result from random guessing), the probability that all four questions are answered correctly is 1/16.
work out 85cents as a percentage of $2.03
Answer:
85 as aparcentege
85/100
0.85%
What graph can be used to solve the equation 2x - 1 = x + 2?
Answer:
Step-by-step explanation:
Which is a factor of both terms of the expression 2d-10
Answer:
2Step-by-step explanation:
2d = 2 · d
10 = 2 · 5
2d - 10 = 2 · d - 2 · 5 = 2 · (d - 5)
Answer: the answer is 2 YW!!!
Step-by-step explanation:
Explain the relationship between a central angle and an inscribed angle in a circle.
in a figure angle theta is the inscribed angle in the circle is half of the central angle 2theta that subtent the same arc on circle.
70°
13
४
c=
12.2
x
A
Answer:
sin70=13/x
[tex] \sin(70) \times x = 13[/tex]
[tex]x = 13 \times \sin(70) [/tex]
[tex] x = 13 \div 0.9397[/tex]
13.8
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.
Answer:
0.892
Step-by-step explanation:
The probability that it is raining and the flight is delayed is 0.008.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06.
Let P(A)=0.14 and P(B)=0.06
Here, P(A and B)=P(A)×P(B)
= 0.14 ×0.06
= 0.0084
= 0.008
Therefore, the probability that it is raining and the flight is delayed is 0.008.
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