The diameter of the base of a cone is shown on the grid. Each square unit on the grid has a side length of 1 foot. The volume of the cone is approximately 200.96 cubic feet. Determine the height of the cone, and construct it vertically on the grid with respect to the center of the cone's base.
Use 3.14 for .
Answers
Answer:
First, we need to find the radius of the base of the cone. We can see from the grid that the diameter is 8 units, so the radius is 4 units (or 4 feet).
Next, we can use the formula for the volume of a cone to find the height:
V = (1/3)πr^2h
Substituting the given volume and radius, and using 3.14 for π, we get:
200.96 = (1/3) x 3.14 x 4^2 x h
Simplifying and solving for h, we get:
h = 200.96 / (1/3 x 3.14 x 4^2)
h = 200.96 / 53.02
h ≈ 3.79 feet (rounded to two decimal places)
To construct the cone vertically on the grid with respect to the center of the base, we can draw a circle with radius 4 units (or 4 feet) centered at the point (4,4) on the grid. Then, we can draw a line from the center of the circle (point (4,4)) up to a point above the circle that is 3.79 units (or 3.79 feet) away from the center. This line represents the height of the cone. Finally, we can connect the endpoint of the line to the points where the circle intersects the grid to complete the cone.
Related Questions
what is required for a current to flow?
A. Electrons, protons, and an energy source
B. An insulator, battery, and recipient
C. A recipient, a connection, and something made out of rubber
D. An Energy source, a recipient, and a connection
Answers
Answer:
D. An Energy source, a recipient, and a connection
A cabinet was ordered from a carpenter with a volume of 1.08 m³. He wrote down the following measurements: 1.2 m wide and 1.8 m high, but forgot to write down the depth. Therefore, the depth measurement is
Answers
The depth of this cabinet is equal to 0.5 m³.
VolumeVolume is a three-dimensional measure that indicates the space occupied by an object. It is a physical quantity that expresses the amount of space an object occupies in three dimensions - length, width and height.
Note that this cabinet has the shape of a parallelepiped, and its volume is found by multiplying its dimensions. Calculating the depth measurement, we have:
1,08 m³ = 1,2 m * 1,8 m * p
p = 1,08 m³/(1,2 m * 1,8 m)
p = 1,08 m³ / 2,16 m³
p = 0,5 m
the sum of
44+45+46+47+...+131
Answers
Answer:313:)
Step-by-step explanation:
From a set of 10 cards numbered 1 to 10, two cards are drawn at random without replacement". What is the probability that both numbers are even?
Answers
Therefore, the likelihood of getting two even numbers without substitution from a deck of 10 cards with digits 1 through 10 is 2 out of 9.
The probability calculation is what?In most cases, the probability is described as the ratio of positive results compared with all occurrences in the survey region. The formula for probability of recurrence is P(E) = (The total amount of instances that are positive occurrences). (Sample space).
There are 5 even numbers in the set of 10 cards: 2, 4, 6, 8, and 10. The probability of drawing an even number on the first draw is 5/10, or 1/2. After the first card is drawn, there are 4 even numbers remaining in the set of 9 cards.
So the probability of drawing another even number on the second draw, given that the first card was even and was not replaced, is 4/9.
To find the probability of both events occurring (drawing an even number on the first draw and another even number on the second draw), we multiply the probabilities:
P(both even) = (1/2) x (4/9) = 2/9
Therefore, the probability of drawing two even numbers from a set of 10 cards numbered 1 to 10 without replacement is 2/9.
To know more about Probability visit:
https://brainly.com/question/13604758
#SPJ1
there are 3 containers of chocolate ice cream for every 2 containers of vanilla ice cream. What is the constant of proportionality in terms of vanilla to chocolate.
Answers
Answer: 2:3
Step-by-step explanation:
If 9x+10=20
, what is the value of 18x+1
?
Answers
Answer:
21
Step-by-step explanation:
9x + 10 = 20
9x = 10
x = 10/9
What is the value of 18x + 1?
18(10/9) + 1
= 20 + 1
= 21
So, the value of 18x + 1 is 21
Rhonda just got promoted in her job as a physical therapy assistant. She will now earn $20.70 per hour. This is 115% of her hourly salary before her promotion. What was her hourly salary before her promotion?
Answers
As a result, Rhonda was paid $18 per hour before to being promoted; nevertheless, she will now be paid $20.70 per hour.
what is unitary method ?Finding a single unit value and applying it to ratio and proportional problem solving is known as the unitary method in mathematics. It is frequently employed in order to resolve issues involving either direct proportion, inverse proportion, or both. In the unitary technique, the ratio of the quantities' corresponding unit values is used to indicate the relationship between the quantities. The desired value is then achieved by multiplying or dividing the unit value, as necessary.
given
Let x be the hourly wage Rhonda received prior to her promotion.
The issue states that her new hourly wage is equal to 115% of her previous wage:
20.70 = 1.15x
We can divide both sides by 1.15 to find x:
x = 20.70 / 1.15
x = 18
As a result, Rhonda was paid $18 per hour before to being promoted; nevertheless, she will now be paid $20.70 per hour.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
What is the measure of ∠b
Answers
Answer:
26
Step-by-step explanation:
triangle=180
81 + 73= 154
180 - 154= 26
Answer:
∠m = 26
Step-by-step explanation:
We know that the sum of the interior angles in a triangle is added up to 180°.
Accordingly,
∠81 + ∠73 + ∠m = 180°
Combine like terms.
∠154 + ∠m = 180°
Subtract 154 from both sides.
∠m = 26
Find the value of w and x in the following diagram zoom in
5
32⁰
W
6
to
Round your answers to the nearest hundredth.
Answers
The values of the side w and the angle x are 2.649 and 26. 206 degrees respectively.
How to determine the valueIt is important to note that there are different types of trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the image shown, we have;
Using the sine identity
sin θ = opposite/hypotenuse
sin 32 = w/5
find the value
w = 2. 649
To determine the value of angle x , we have;
Using the sine identity
sin x = w/6
sin x = 2. 649/6
sin x= 0. 4416
Take the sine inverse
x = 26. 206 degrees
Learn about trigonometric identities at: https://brainly.com/question/22591162
#SPJ1
Write a quadratic function in standard form to represent the data in the table.
Answers
Therefore, the quadratic function in standard form that represents the data in the table is: y = 1/2 x² - 5/2 x + 5.
What is function?A function is a mathematical concept that describes the relationship between two sets of numbers. It is a rule that assigns to each input (or element in the domain) exactly one output (or element in the range). In simpler terms, a function is like a machine that takes in a number and produces another number as output, according to some specific rules. The input is usually denoted by x, and the output by f(x), which is read as "f of x". Functions can take many forms, such as linear, quadratic, trigonometric, exponential, logarithmic, and more. They are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.
Here,
To write a quadratic function in standard form, we need to use the general form of the quadratic equation:
y = ax²+ bx + c
where a, b, and c are constants. We can use the values in the table to find these constants.
When x = 2, y = 3
When x = 4, y = 1
When x = 6, y = 3
When x = 8, y = 9
When x = 10, y = 19
Substituting these values into the quadratic equation, we get:
3 = 4a + 2b + c
1 = 16a + 4b + c
3 = 36a + 6b + c
9 = 64a + 8b + c
19 = 100a + 10b + c
We can now use these equations to solve for a, b, and c. One way to do this is to use a matrix equation:
|16 4 1| |a| |1|
|36 6 1| |b| = |3|
|64 8 1| |c| |9|
Using a calculator or matrix software, we can solve for a, b, and c:
a = 1/2
b = -5/2
c = 5
To know more about function,
https://brainly.com/question/28193995
#SPJ1
Which triangles are similar?
a.
25
6
12
b.
16
8
25
ن
d.
3
25
6
Answers
Triangles (a) and (d) are similar because they have the same corresponding angles.
What are triangles ?
A triangle is a closed two-dimensional plane figure with three straight sides and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles are one of the basic shapes in geometry and can be classified into different types based on their side lengths and angle measurements. Some of the common types of triangles include equilateral triangles (where all sides and angles are equal), isosceles triangles (where two sides and two angles are equal), and scalene triangles (where no sides or angles are equal). Triangles have many applications in mathematics, science, and engineering, including in trigonometry, geometry, and physics.
According to the question:
Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. In other words, if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Additionally, if the ratio of the lengths of the corresponding sides of two triangles is constant, then the triangles are similar. This ratio is called the scale factor of similarity.
Therefore, triangles (a) and (d) are similar because they have the same corresponding angles.
To know more about triangles visit:
https://brainly.com/question/14712269
#SPJ1
Q) Which triangles are similar given below?
a. 25,6, 12
b. 16, 8, 25
c. 3,25, 6
Find the value of x and y. Not drawn to scale
Answers
Using the definitions for the types of triangles in the image, we can see that the interior angles are:
x = 37°
y = 14°
How to find the value of x and y?First, on the right side we can see an equilateral triangle, then all its interior angles are of 60°.
Amd the triangle in the left side is isoceles, then the angle in the right side has the same measure than x, and now with that we can write the equation:
x + 83° + 60° = 180°
Solving for x, we will get:
x = 180° - 83° - 60°
x = 37°
Now let's find the value of y, we cansee that the triangle in the middle is also isoceles, and remember that for any triangle the sum of the interior angles must be 180°, so here we can write:
83° + 83° + y = 180°
y = 180° - 2*83°
y = 14°
Learn more about triangles at:
https://brainly.com/question/1058720
#SPJ1
Helppopppppppppppp image below
Answers
The value of angle Y (m∠Y) in the given parallelogram is determined as 112⁰.
What is the value of angle Y?The value of angle Y is determined by applying the principle of a quadrilateral for the given parallelogram as shown below.
The adjacent angles of a parallelogram are supplementary, that is they add up to 180 degrees, while the opposite angles are equal or congruent.
From the given diagram angle W = angle Y (opposite angles)
angle W + angle Z = 180 (adjacent angles )
angle W = 180 - angle Z
angle W = 180 - 68
angle W = 112
Therefore, angle Y (m∠Y) = 112⁰.
Learn more about opposite angles of parallelogram here: brainly.com/question/20526916
#SPJ1
129. (1+x)y' = (x + 2)(y − 1)
Calculus vol 2 need help solving this!!!!
Answers
By answering the question using the information provided, we can conclude that in order to arrive at the general solution, we must take into account the scenario in which [tex]y-1\neq 0 , y \neq 1[/tex], by constructing equations.
What do you mean by equations?Two equations are said to be equivalent when their bases and solutions line up. To create an equivalent equation, the same quantity, symbol, or expression must be added to or removed from both of the equation's two sides.
We can also create an analogous equation by multiplying or dividing both sides of an equation by a nonzero integer.
Solving differntial calculus
[tex](1+x)y'=( x+2) (y-1)[/tex]
We will first employ varying separation. The variables y and x will be placed on the opposite sides of the equation, and both sides will be integrated.
[tex](1+x)y'/(y-1) = (x+2)dx[/tex]
We will integrate both sides using the substitution[tex]u= y-1,\frac{du}{dy} =y'[/tex]
∫[tex](x+2)dx[/tex] =∫[tex](1+x)\frac{du}{u}[/tex]
㏑l[tex]u[/tex]l +[tex]x[/tex]㏑l[tex]u[/tex]l= [tex]\frac{1}{2} x^{2}+2x+c[/tex]
Substituting [tex]u= y-1[/tex]
㏑l[tex]y-1[/tex]l+ [tex]x[/tex]㏑l[tex]y-1[/tex]l= [tex]\frac{1}{2x^{2} } +2x+c[/tex]
Learn more about equations
brainly.com/question/2972832
#SPJ1
The complete question is: Find the general solution to the differential equation (1+x)y' = (x + 2)(y − 1).
Weathering and erosion are two processes that shape Earth’s surface. Which of the
following sets of factors cause both weathering and erosion?
a) acid rain, tree roots, waves
b) glaciers, waves, wind
c) moving water, plants, wind
d) acid rain, plants, ice
Answers
Write a paragraph proof of the Quadrilateral Sum Theorem.
Given: Quadrilateral ABCD
Prove: m
Answers
Step-by-step explanation:
Quadrilateral Sum Theorem. The total sum of the interior angles of a quadrilateral is 360°. A quadrilateral is formed by joining four non-collinear points. A quadrilateral has four sides, four vertices and four angles. Therefore, that is the Quadrilateral Sum Theorem.
In a survey of women in a certain country (ages 20−29), the mean height was 63.7 inches with a standard deviation of 2.75 inches. Answer the following questions about the specified normal distribution.
(a) What height represents the 95th percentile?
(b) What height represents the first quartile?
Answers
a) The height that represents the 95th percentile is approximately 68.1 inches.
b) the height that represents the first quartile is approximately 65.5 inches.
Percentile and Quartile Heights(a) To find the height that represents the 95th percentile, we need to find the z-score that corresponds to this percentile and then use that to find the corresponding height.
The z-score for the 95th percentile can be found using a standard normal distribution table or calculator. The area to the left of the z-score is 0.95, so the area to the right is 0.05. From the standard normal distribution table, the z-score corresponding to an area of 0.05 is approximately 1.645.
Now we can use the formula for z-scores to find the corresponding height:
z = (x - mu) / sigma
where x is the height we want to find, mu is the mean height (63.7 inches), sigma is the standard deviation (2.75 inches), and z is the z-score we just calculated (1.645).
Rearranging the formula, we get:
x = mu + z * sigma
Plugging in the values, we get:
x = 63.7 + 1.645 * 2.75 ≈ 68.1
Therefore, the height that represents the 95th percentile is approximately 68.1 inches.
(b) To find the height that represents the first quartile, we need to find the z-score that corresponds to the 25th percentile and then use that to find the corresponding height.
The z-score for the 25th percentile can be found using a standard normal distribution table or calculator. The area to the left of the z-score is 0.25, so the area to the right is 0.75. From the standard normal distribution table, the z-score corresponding to an area of 0.75 is approximately 0.67.
Using the formula for z-scores and the same values for mu and sigma, we get:
x = mu + z * sigma = 63.7 + 0.67 * 2.75 ≈ 65.5
Therefore, the height that represents the first quartile is approximately 65.5 inches.
Learn more on percentile and quartile here https://brainly.com/question/17173772
#SPJ1
What is an equation for the linear relationship in slope-intercept form?
y = ? x + ?
Answers
Answer:
y = -4x + 5
Step-by-step explanation:
y = mx + b
From the graph, we see the line intersects the y-axis at 5, so the y-intercept, b, is 5.
y = mx + 5
slope = m = rise/run
rise = up and down
run = left and right
We go up 4 units from the lower point to the upper point. That is a rise of 4 units. Then we go left 1 unit. That is a run of -1.
slope = m = 4/(-1) = -4
y = mx + 5
y = -4x + 5
Un camino recto que continua para siempre en ambas direcciones es un
Answers
Answer: una linea
Step-by-step explanation:
Susan placed an order for a drum set priced at $71.28, cluding the taxes. The drum set is 30% off. 30% of $71.28, which means .3 x 71.28, is $21.39 off. How much does Susan have to pay in total?
Answers
Answer:
Step-by-step explanation:
take 71.28-21.39
Answer:
If the drum set is 30% off, this means that Susan only needs to pay 70% of the original price. We can calculate this using the following formula:
Total price = Original price x (1 - Discount rate)
where the discount rate is the percentage discount expressed as a decimal. In this case, the discount rate is 30% or 0.3. Substituting in the given values, we get:
Total price = $71.28 x (1 - 0.3)
Total price = $71.28 x 0.7
Simplifying, we get:
Total price = $49.896
However, we also know that Susan got a discount of $21.39. This means that she only needs to pay:
Total price - Discount = $49.896 - $21.39
Total price - Discount = $28.506
Therefore, Susan has to pay $28.506 in total.
Rosa is in the 25% tax bracket and How much will her tax bill be reduced if she makes a $600 contribution to charity?
Answers
Answer:
Her contribution to charity reduces her taxable income by $600, Thus, her tax liability will be reduced by 28% of $ 600, and she comes under 28%
Step-by-step explanation:
18 points for this help asap
Answers
Answer: m=1/-7
Step-by-step explanation:
2-1/-3-4=1/-7
I don't know if it can be simplified or not
Lee watches TV for 4 hours per day. During that time, the TV consumes 200 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Lee’s TV cost to operate for a month of 30 days?
Answers
The cost to operate Lee's Tv is 2.88 dollars.
How to find the cost to operate for a month?Lee watches TV for 4 hours per day. During that time, the TV consumes 200 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour).
Therefore, the cost for Lee to operate in 30 days can be calculated as follows:
200 watt = 0.2 kilowatt
Therefore,
1 day = 4 hours
30 days = ?
cross multiply
number of hours = 120 hours.
Therefore, in 30 days he watches television for 120 hours.
Let's find the cost
0.12 dollars = 12 cent
1 hour = 0.2 kilowatt
120 hours =
kilowatt use in 30 days = 0.2 × 120 = 24 kilowatts
Therefore,
1 kilowatts = 0.12 dollars
24 kilowatts = ?
cost of Tv for a month of 30 days = 24 × 0.12
cost of Tv for a month of 30 days = 2.88 dollars
learn more on cost here: https://brainly.com/question/16678774
#SPJ1
Which of the following is a way your bank can make money? A Your bank can charge you a fee for using an ATM from another bank. B Your bank can charge an annual or monthly fee just for having an account. C Your bank can charge fees if your balance goes below a certain amount. D all of the above
Answers
Answer:
D. All of the above
Step-by-step explanation:
Your bank can incur additional revenue by charging you for all of those things
Please Help ASAP (sequence question)
The sequence goes like this: 1, .5, .33, .25, ____, _____, ______
Please fill out the next three terms and write a function for the sequence
f(x)=_____
Answers
Answer: .2, .14, .125
Step-by-step explanation:f(x)=1/x or 1/n
Simultaneous Equations
y=x-2
y=3x+5
Answers
Hello and regards kiann09.
So the solution of the equation is:
x = - 7/2y = - 11/2Step-by-step explanation:y = x - 2
y = 3x + 5
We substitute the given value of y into the equation y = 3x + 5.
x - 2 = 3x + 5
We solve the equation for x.
x - 2 - 3x = 5
We move the variable to the left side and change its sign.
The sign of the variable must be changed because, in the process of "moving the variable", we are adding its opposite to both sides.
x - 2 - 3x = 5
Now we move the constant to the right hand side and change its sign.
x - 3x = 5 + 2
We group like terms.
-2x = 5 + 2 ⇒ We add the numbers ⇒ -2x + 7
We must divide both sides by -2.
x = - 7/2
We substitute the given value of x into the equation y = x - 2.
y = (-7/2)-2
We solve the equation for y. We write all the numerators above the common denominator.
y = -(7 + 4)/2
y = - 11/2
＼(^_^ )If you want to learn more, I share this link to complement your learning:
https://brainly.com/question/15811265
The number 325 is equal to a square number multiplied by a prime number.
a) What are these two numbers?
Answers
13 is a prime number.
325 divided by 13= 25
25 is a square number.
So your answer is 13 and 25
Points D, B, and E are collinear. Find
the value of a so that points A, B, and
C are collinear.
A
(4x)
O
E
B
148°
D
C
Answers
Using the supplementary angle theorem, the value for x so that points A, B, and C are collinear is 8.
What is a supplementary angle?
The definition of "supplementary" in mathematics relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles.
A line segment AC is drawn.
Point B is in between A and C.
A transversal DE is drawn passing through point B.
Points D, B, and E are collinear.
The measure of angle CBE is 148° and the measure of angle EBA is 4x°.
The angles ∠CBE and ∠EBA forms a pair of supplementary angles.
Their sum result in value of 180°.
Mathematically, this can be represented as -
∠CBE + ∠EBA = 180°
Substituting the values into the equation -
148° + 4x° = 180°
Solving for x, we get -
4x° = 180° - 148°
4x° = 32°
x = 32 / 4
x = 8
Therefore, the value for x is obtained as 8.
To learn more about supplementary angle from the given link
https://brainly.com/question/12919120
#SPJ1
A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T) and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Answers
Thus, the list BTW, BWT, TBW, TWB, WBT, and WTB is the correct response.
What is a number arrangement?The number of possible arrangements or orders for a set of items is known as the arrangement number, sometimes known as the permutation number or simply as the permutation.
The following is the accurate list of all conceivable pup arrangements:
BTW, BWT, TBW, TWB, WBT, WTB
This is due to the fact that the puppies' order is important, thus we may utilize permutations to discover every potential configuration. There are 3 pups to place in a row, which results in a total of 3! = 6 combinations. We can categories them as follows:
1. BTW
2. BWT
3. TBW
4. TWB
5. WBT
6. WTB
Thus, the list BTW, BWT, TBW, TWB, WBT, and WTB is the correct response.
To know more about permutation visit:
https://brainly.com/question/10164077
#SPJ1
How do you write the standard form for 2 hundreds 9 tens and 18 ones
Answers
The standard form as: 298
What is standard form?
Standard form is a way of writing numbers a little differently for instance
The number "2 hundreds 9 tens and 18 ones" can be written in standard form as:
298
In standard form, we write the digits in the place value of their corresponding powers of 10. In this case, the digit 2 is in the hundreds place (10)², the digit 9 is in the tens place (10), and the digit 8 is in the ones place (10^0).
To know more about standard form visit,
https://brainly.com/question/19169731
#SPJ1