Find the volume of the cone. Round to the nearest tenth.27 m-45°O 10,306,0 m320,612.0 m341,224.0 m3763.4 m3
Answers
The volume of a cone is given by the formula:
\(\begin{gathered} V=\frac{1}{3}\times\pi\times r^2\times h \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}\)From the question, we are provided with following:
\(\begin{gathered} h=27m \\ \theta=45^0 \end{gathered}\)We have to use the given parameters to obtain the radius of the cone.
Thus, we have:
\(\begin{gathered} \text{Tan 45}^0=\frac{opposite}{\text{adjacent}} \\ 1=\frac{27}{\text{radius}} \\ \text{Therefore, radius=27m} \end{gathered}\)Therefore, the volume of the cone is:
\(\begin{gathered} V=\frac{1}{3}\times\frac{22}{7}\times27^2\times27 \\ V=20,611.98m^3 \end{gathered}\)Hence, the correct option is option BH
Related Questions
Mike watches how the pendulum swings in his clock. He notices that it swings 1 time every 2 seconds. How long will it take to swing 5 times?
Answers
Answer: 10 seconds
Step-by-step explanation: The time it takes is exactly double its swing. 5 times 2 = 10
Question 16) Find the number of solutions of theequation 6^2+ 6x + 3 = 0 by using the discriminant.(1 solution, 2 solutions, or no real solutions)
Answers
We are given the following equation:
\(6x^2+6x+3=0\)This is an equation of the form:
\(ax^2+bx+c=0\)The discriminant of the equation is:
\(d=b^2-4ac\)We have 3 possible cases:
\(d<0\)There are two imaginary solutions
\(d=0\)one real solution
\(d>0\)Two real solutions.
Replacing the values:
\(d=(6)^2-4(6)(3)\)Solving the operations:
\(\begin{gathered} d=36-72 \\ d=-36 \end{gathered}\)We have:
\(d<0\)This means that we have 2 imaginary solutions.
Find the solution set for |3q-2|=7 .
Answers
Here is the website for your answer
your welcome
When we have an absolute value it means the value could be positive or negative; therefore, we must test both possibilities, and get two answers.
Here we will check what q would be if the absolute value is negative
- (3q-2) = 7
-3q = 5
-q = 5/3
q = - (5/3)
And now we will check what q would be if the absolute value is positive
(3q -2) = 7
3q = 9
q = 3
So we have got two numbers that could be equal to q
3 and -(5/3)
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answers
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
A rope is 15 meters long, you cut off 12/5 meters. What is the length of the remaining rope?
Answers
Answer:
12.6
Step-by-step explanation:
15/2 = 2.4
15-2.4= 12.6
Answer:
12.6
Step-by-step explanation:
YOu just subtract 15 and 12/5
What is the meaning of "each partition P of X defines an equivalence relation on X"?
Answers
The statement indicates that when a set X is partitioned, each partition forms an parity relation by grouping together rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.
The statement" each partition P of X defines an parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an parity relation on the original set X.
An parity relation is a relation that satisfies three parcels reflexivity, harmony, and transitivity. In the environment of partitions, when a set X is divided into subsets, each partition forms an parity relation by grouping together rudiments that partake a common characteristic or property.
Within each partition, the rudiments are considered original or affiliated to each other, and they're distinct from rudiments in other partitions. The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.
It implies that different partitions may live grounded on different criteria or conditions for grouping rudiments.
For more such questions on subsets .
https://brainly.com/question/13265691
#SPJ8
For the following exercises, consider the function f(x) = (1+x)^1/x. Round all answers to five decimal places. Evaluate f(-0.01).
Answers
The value of f(-0.01) is approximately 0.99005.
To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).
Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.
The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.
By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.
For more such answers on function
https://brainly.com/question/11624077
#SPJ8
Write the following expression in simplest radical form. Plz help
Answers
Answer:\(4x^{3}\)\(\sqrt[3]{25x^{2} }\)
Step-by-step explanation:
You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153
Answers
Answer:
b. $154,810
Step-by-step explanation:
You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.
TableThe given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.
p = (P/1000)×m
ApplicationThe table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...
1000p/m = P
1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810
You qualify for a loan of $154,810.
__
Additional comment
The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).
By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.
What is equation?A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.
To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.
According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.
Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:
Mortgage amount = monthly payment / mortgage payment per $1000
$879.32 mortgage amount / $5.68 per $1000
Loan amount = $154,810
As a result, the purchasing price of a house is $154,810.
As a result, the answer is (b) $154,810.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Express each ratio as a fraction in its simplest form 6 minutes to 1 hour
Answers
Answer:
1:10
Step-by-step explanation:
1 hour is 60 minutes, so the ratio is 6:60.
To simplify, divide both sides by 6.
Thus, you get:
1:10.
C. Betsy's dad bought a 5 lb. bag of grass seed. He needed 1 lb. 3 oz. for the front yard, 1 lb. 8 oz. for the side yard, and 2 Ib. 4 oz. for the back yard. Was the 5 lb. bag of seed enough for the three yards?
Explain .___________________________.
Answers
Answer:
Yes.
Step-by-step explanation:
When you add the different amounts needed together ( 1lb 3oz + 1lb 8oz + 2lb 4 oz ), you get 4lb 15oz. Since there are 16oz in a pound, you need less than 5 lb. Therefore, you need less than 5lb, the 5lb bag will be more than enough.
1 7.26 × 0.22 =
2 17.92 × 0.64 =
3 7.65 × 0.85 =
4 36.20 ×0.05 =
5 31.85 ×0.91 =
please answer it cause my calculator is broken
Answers
Answer:
1) 1.5972
2) 11.4688
3) 6.5025
4) 1.81
5) 28.9835
What is the SLOPE of the line that passes through these pair of points?
Answers
Answer:
D
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (2, 17)
m = \(\frac{17-1}{2+2}\) = \(\frac{16}{4}\) = 4 → D
Determina el cuadrado de 111 111 111, calculando primero los cuadrados de 1;11;111...
Answers
Answer:
12345678987654321
Step-by-step explanation:
1*1=1
11*11=121
111*111=12321
...
111111111 * 111111111 = 12345678987654321
Subtract using the number line.
−1/3−1 2/3
Select the location on the number line to plot the difference.
Answers
The difference between -1/3 and -1 2/3 is -2 .
A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.
Basic rules for the Number line -
Find the dot marked on a number.Place a dot at the desired location.Find the desired number below the number line's tick mark.Add the missing number.Learn the numbers to the right are higher than numbers to left.Determine which number is greater than, less than or equals.Given that
Subtract -1/3 -1 2/3
solve -1 2/3 = -5/3
= -1/3 -5/3
= -1 -5 /3
= -6 / 3
= -2 .
Thus the diference between number -1/3 , -1 2/3 is -2 , for location see the attachment below .
To learn more about Number line
Visit - https://brainly.com/question/24644930
#SPJ1
The coordinates of the equation are ( _ , _ )
Answers
Answer:
(0,2)
Step-by-step explanation:
Im only guessing this because that is where the two functions intersect. Otherwise for red it would be: (-3,3) or (3,1) or any point along the line. And for blue it would be: (-3,0) or (0,2) or any point along the line.
Remember the first number in an ordered pair is the x value, while the second number in an ordered pair is the y value. So in order to find a point, you follow the x axis until your below thr given point, then go up.
(0,2) works for both graphs which is why I mentioned it in basic summary.
Jope this helps. :)
Solve this question—————-
Answers
Answer: (2, -5) (light blue answer choice)
Solving by substitution
−7x+y=−19;−2x+3y=−19
−7x+y+7x=−19+7x (Add 7x to both sides)
y=7x−19
Step: Substitute7x−19 for y in −2x+3y=−19:
−2x+3y=−19
−2x+3(7x−19)=−19
19x−57=−19 (Simplify both sides of the equation)
19x−57+57=−19+57 (Add 57 to both sides)
19x=38
19x/19 = 38/19 (Divide both sides by 19)
x=2
Step: Substitute 2 for x in y=7x−19:
y=7x−19
y=(7)(2)−19
y= −5 (Simplify both sides of the equation)
Therefore: x = 2 and y = −5
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answers
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
How would you create a Horizontal shift right of 4 units to the function f(x) = 3*
O g(x) = 3(x-4)
O g(x) =34%
O g(x)=4(3)^
O g(x)=-4(3)^
Answers
A translation right 4 units of the function defined by f(x) = 3^x is given as follows:
g(x) = 3^(x - 4).
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function for this problem is given as follows:
f(x) = 3^x.
The rule for a translation of 4 units right of the function f(x) is given as follows:
g(x) = f(x - 4).
Hence the function g(x) is given as follows:
g(x) = 3^(x - 4).
More can be learned about translations at brainly.com/question/28174785
#SPJ1
Determine if the sequence is arithmetic, geometric, or neither: 15, 18, 21, 24,
Answers
Answer:
arithmitic
Step-by-step explanation:
Eric bought a pizza pie, he ate 3/8 of the pie,karla ate 1/4 of the pie ,how much of the pizza did eat
Answers
Answer:
5/8 of the pizza was eaten
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Answer:
5/8
Step-by-step explanation:
3/8 + 1/4
1/4 x 2 = 2/8
3/8 + 2/8 = 5/8
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of the residents of a state if you want to be 95% confident that the sample mean is within 4 IQ points of the true mean.
What is the required sample size?
Answers
Answer:
55
Step-by-step explanation:
\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)
Make sure to always round up the required sample size to the nearest integer!
What’s the correct answer for this question?
Answers
Answer: choice D
Step-by-step explanation:
The question asks for the probability that the chose card is a king or a queen.
and we have 8 cards that are a either a king or a queen
so
8/52=2/13
or you can think of it in the additive way(most of the time addition is required when you have “or” and multiplication when you have “and”)
4/52+4/52=2/13
Maple Street is 4 miles long. There is a house every 1/4 of a mile. How many houses are there on Maple Street?
There are 24 houses on Maple Street.
There are 12 houses on Maple Street.
There are 16 houses on Maple Street.
There are 20 houses on Maple Street.
Answers
Answer: There are 16 houses
Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.
Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.
(someone please help me!)
Answers
The series of rigid motion transformations that map polygon A to Polygon A''' are;
A rotation of 145° about the origin to map A to A'A reflection across the x-axis to map A' to A'A translation of four units to the right and one unit downWhat is a rigid transformation?A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.
The series of rigid motion transformations that map polygon A to polygon A''' are;
Transformation from A to A'
The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.Transformation from A' to A''
The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axisTransformation from A'' to A'''
The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.Learn more about rigid transformations in geometry here:
https://brainly.com/question/2222755
#SPJ1
The Spirit Club buys shirts in bulk for $8 each. They mark up the shirts 75% to sell in the school store. At the end of the year, they sell the shirts for 25% off. How much profit does the Spirit Club make on each shirt at the end of the year? Show your work
Write the work down step by step, math involved.
Answers
The Spirit Club makes $2.5 profit on each shirt at the end of the year.
What is profit?
Cost price and selling price are better ways to explain profit. Cost price is the actual cost of the good or service, whereas selling price is the price at which it is offered for sale. In this case, the business has made a profit if the selling price of the good is higher than the cost price. Consequently, the profit calculation formula is;
Selling price minus cost price equals profit or gain.
Given that the cost of a shirt for the Spirit Club is $8.
They mark up the shirts 75% to sell in the school store.
The amount that is up on each shirt is $8×75%
= $8×(75/100)
= $8×(3/4)
= $6.
The marked price of each shirt is $8 + $6 = $14.
They sell the shirts for 25% off at the end of the year.
The discount amount is $14×25%
= $14×(25/100)
= $14×(1/4)
= $3.5
The selling price of each shirt at the end of the year is $14 - $3.5 = $10.5.
The profit is Selling price - cost price = $10.5 - $8 = $2.5
To learn more about profit and loss, click on the below link:
https://brainly.com/question/14303891
#SPJ1
It takes 52 minutes for 5people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?
Answers
Answer:
52 minutes
Step-by-step explanation:
This should be a proportional statement, because if each individual person painted there own wall it should still take 52 minutes.
What is the midpoint of the segment shown below? (-1,5) (-6,-2)
Answers
Answer:
(-7/2, 3/2)
Step-by-step explanation:
picture below ;)
A line became by joining two coordinates, the midpoint of the given line segment is (-3.5,1.5).
What is a line segment?
A line segment is become by joining two points which has specific coordinates.
To find the midpoint coordinate between any two points then we have to add the x's coordinates and divide by two and similarly y's coordinates and divide by two.
For example, if you have two points as (a,b) and (c,d) then the coordinate of the midpoint joining this line will be ( \(\frac{a+c}{2}\), \(\frac{b+d}{2}\) ).
Since the points are (-1,5) (-6,-2) so the midpoint joining this line segment will be
( \(\frac{-6-1}{2}\), \(\frac{5-2}{2}\) ) so (-3.5,1.5) will be the midpoint of the line segment.
For more information about line segment
https://brainly.com/question/25727583
#SPJ5
What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3, 2)?
options:
y = 2x – 1
y = 3x – 7
y = 2x + 4
y = 4x + 3
y = -2x + 9
Answers
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
\(y-2=3(x-3)\) and
\(y-2=3x=9\) and
\(y=3x-9+2\) so
y = 3x - 7 (the second choice)
when Charles eats Oreos , he likes to dunk 2 out of every 5 cookies in a cold glass of milk. if he eats a total of 15 Oreos , how many will he dunk ? how many will ge eat without dunking?
Answers
Answer: 6 with milk, 9 without
Step-by-step explanation:
2/5 of the cookies he eats are dunked. Thus, simply do 2/5, or .4*15 to get that 6 cookies are dunked, and 15-6 to get that 9 cookies are not dunked.
Hope it helps <3