The volume of a right circular cone which has a height of 11.9 ft and a base with a radius of 16.3 ft as required is;
What is the volume of the right circular cone?As evident in the task content; the volume of a right circular cone a height of 11.9 ft and a base with a radius of 16.3 ft is to be determined.
Recall, the volume of the cone is;
V = (1/3) × πr²h
V = (1/3) × π × 16.3² × 11.9
V = 3310.9 ft³.
Ultimately, the volume of the right circular cone is; 3310.9 ft³.
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Answer:
3310.9
Step-by-step explanation:
The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
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use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
Similar Triangles
A triangle has two angles measuring 90° and 50°, calculate the third angle of the triangle.
a. 50°
b. 40°
c. 45°
d. 75°
Please select the best answer from the choices provided
Answer:
B. 40°
Step-by-step explanation:
I calculated it logically
A house is sold for $195,000. The mortgage is $168,745.60 at 8%. Annual taxes are $3,893.25. The closing will occur on June 15. What are the total prorations for interest (for the full month) and for property taxes to the nearest $100? Will the prorations be added to, or subtracted from, the seller's equity?
To calculate the prorations for interest and property taxes, we need to determine the number of days each party (the buyer and the seller) will own the property during the month of June.
There are a total of 30 days in June, so the seller will own the property for 15 days (from June 1 to June 15), and the buyer will own the property for 15 days (from June 16 to June 30).
Prorations for Interest:
The annual interest rate is 8%, which means the monthly interest rate is 8%/12 = 0.6667%. To calculate the daily interest rate, we divide the monthly interest rate by 30 (the number of days in June):
0.6667% / 30 = 0.0222%
The total interest owed for the full month is:
$168,745.60 x 0.6667% = $1,124.28
To calculate the prorated interest for the seller, we multiply the daily interest rate by the number of days the seller owned the property:
0.0222% x $168,745.60 x 15 = $559.02
To calculate the prorated interest for the buyer, we multiply the daily interest rate by the number of days the buyer will own the property:
0.0222% x $168,745.60 x 15 = $559.02
Therefore, the total prorations for interest are:
$559.02 for the seller and $559.02 for the buyer.
Prorations for Property Taxes:
To calculate the prorated property taxes, we divide the annual taxes by 365 (the number of days in a year) to get the daily tax rate:
$3,893.25 / 365 = $10.66 per day
To calculate the prorated property taxes for the seller, we multiply the daily tax rate by the number of days the seller owned the property:
$10.66 x 15 = $159.90
To calculate the prorated property taxes for the buyer, we multiply the daily tax rate by the number of days the buyer will own the property:
$10.66 x 15 = $159.90
Therefore, the total prorations for property taxes are:
$159.90 for the seller and $159.90 for the buyer.
The prorations will be subtracted from the seller's equity because they represent expenses incurred by the seller during the time they owned the property.
Find the area of a rectangle with a base of 5 ft. and a height of 9 and 1/2 feet. And PLEASE simplify the fraction.
Answer:
The answer is 45 1/2
Step-by-step explanation:
So all you do is 5 x9=45 and the add the 1/2
Add all together and will get 45 1/2
What percent of this sample watches 15 or more hours of television? (Tip: There are 133 people who provided data for this question.) 1.5 .899.2 3
The percentage of this sample who watches 15 or more hours of television is 166.25%.
The continuous series is the third series, followed by the individual series and the discrete series. This is also known as frequency distribution. Under this series we have X and F, where F is the frequency, i.e. the number of times X is repeated.
The samples represent continuous series distribution.
The people who watched TV for less than 5 hours are the sum of the length of a bar of class intervals 1-2, 2-3, 3-4, and 4-5.
Hence, the number of students who watch TV for less than 15 hours =
10+ 15+ 20+ 35 = 80.
Since there total of 133 people, then the percentage of people watching tv is more than 15 hours.
133/80 ×100
= 665/4 = 166.25%
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The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?
In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.
Define slopeit represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.
In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.
In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.
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A population mean is normally distributed with a mean of 56 and a standard deviation of 12.
The mean of the sampling distribution (p) and The standard error of the mean (o) are 56 and 2 respectively.
What is normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
According to question:(a) The mean of the sampling distribution (p) is equal to the population mean, which is 56.
(b) The standard error of the mean (o) is calculated as the standard deviation of the population divided by the square root of the sample size. So for a sample of 36 participants:
o = 12 / √36 = 2
(c) The distribution of the sample means (p) will be approximately normal with a mean of 56 and a standard deviation of 2. To sketch this distribution with M ± 3 SEM, we would plot a normal distribution with mean 56 and standard deviation 2, and shade the region that is 3 standard errors away from the mean on either side.
This region would capture approximately 99.7% of the data if the samples were selected randomly and independently from the population.
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The following list is of 4 measurements.
There are four levels of measurement – nominal, ordinal, and interval/ratio – with nominal being the least precise and informative and interval/ratio variable being most precise and informative.
solve from here by understanding what i have write
Select all solutions to M•M•M=729
The solution to the equation given by M * M * M = 729 is 9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
Given the equation:
M.M.M = 729
This gives:
M * M * M = 729
M³ = 729
Taking the cube root of both sides:
∛M³ = ∛729
M = 9
The solution to the equation is 9
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2 Math questions! Offering the brainliest to who answers
Answer:
first one L second one D
Step-by-step explanation:
A hyperbola centered at the origin has vertices at (+/- \(\sqrt{7}\) , 0) and foci at (+/- \(\sqrt{27}\) , 0). Write the equation of this hyperbola.
The equation of the hyperbola with centered at the origin has vertices at ( ±√7 , 0) and foci at (±√27 , 0) is (x²/7) - (y²/20) = 1.
The equation of a hyperbola centered at the origin with vertices on the x-axis is, (x²/a²)-(y²/b²) = 1.
The asymptotes' distance is b, while the distance between the origin and vertex is a. In this case, a = √7 and c = √27, distance from the origin to a focus is c. We can use the relationship a² + b² = c² to solve for b:
b² = c² - a² = 27 - 7 = 20
So, we get, the equation of the hyperbola to be,
(x²/7) - (y²/20) = 1.
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A hyperbola centered at the origin has vertices at ( ±√7 , 0) and foci at (±√27 , 0). Write the equation of this hyperbola.
Sander usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest tenth.
Answer:
I am not understanding the question ok
When drawing a card from a deck of 52 cards, (13 clubs, 13 hearts, 13, spades, and 13 diamonds with each kind having A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, O, k) what is the probability of drawing a Heart or a Seven?
Answer:
There are 52 cards in a deck, and 13 of them are hearts. Therefore, the probability of drawing a heart is 13/52, or approximately 0.25.
There are also four sevens in a deck (one of each suit), so the probability of drawing a seven is 4/52, or approximately 0.08.
To find the probability of drawing either a heart or a seven, we need to add the probabilities of these two events together. Therefore, the probability of drawing a heart or a seven is 0.25 + 0.08, or approximately 0.33. This can also be written as a fraction as 13/52 + 4/52, which simplifies to 17/52.
Overall, the probability of drawing a heart or a seven from a standard deck of cards is approximately 0.33, or 17/52.
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Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?
HELPPP!! I'LL MARK U
The area of the figure is ______ square units.
Answer:
8 units
Step-by-step explanation:
Area of square:
length * width
2 * 3
= 6 units
Area of triangle:
1/2 * base * height
1/2 * 2 * 2
= 2 units
Area of entire shape:
6 + 2
= 8 units
So, the area of the shape is 8 units.
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(8m + 4) + (8m + 4) combine the like terms to simplify
The expression simplified can be written as:
16m + 8
How to combine the terms and simplify?Here we want to simplify the following expression:
(8m + 4) + (8m + 4)
To simplify, we start by removing the parenthesis:
8m + 4 + 8m + 4
Now we can change the order of the terms so we get:
8m + 8m + 4 + 4
Now we can group the like terms to get:
(8m + 8m) + (4 + 4)
And simplify this to get:
16m + 8
That is the simplified expression.
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Will someone be able to help me with this math problem, the picture is down below. Please help
The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;
Side A'B' will be parallel to side AB
Side A'C' will be parallel to side AC
Side BC will lie on the same line as side BC
What is a dilation transformation?A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.
The possible options, from a similar question on the internet are;
Be parallel to
Be perpendicular to
Lie on the same line as
The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;
PB' = 3 × PB
PA' = 3 × PA
PC' = 3 × PC
Therefore; The side B'C' will be on the same line as the side BC
The Thales theorem, also known as the triangle proportionality theorem indicates that;
The side A'C' will be parallel to the side AC
The side A'B', will be parallel to the side AB
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A restaurant uses 153 plates in 3 hours, how many plates will they use in 10 hours? REMEMBER TO INCLUD
MEASURE (PLATES) IN YOUR ANSWER.
Answer:
the correct answer would be 510
Step-by-step explanation:
you divide 153 by 3 and then multiply the answer of that (51), by 10-and then wham bam yes ma'am you have the answer, 510. hope this helps! can i have brainliest pls :3
please please help me figure this out!!
Answer:
154
Step-by-step explanation:
180-26= 154
Supplementary angles equal 180
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
Help me plzzzzz euebdmso
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:
Please see the attached
(a). The Tanakas paid a total of $523,906.40 for the townhome.
(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.
What is simple intresst?Simple interest is the type of interest that is calculated on the principal amount only.
It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.
(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.
Down payment = $41,000
Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40
Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40
(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.
Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000
Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40
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can someone solve for x please
Answer:
x=-4
Step-by-step explanation:
The two lines are parallel, so the two angles, 45 and x+49 are equal too
Lets make the equation
x+49 = 45
x = 45-49
x = -4
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which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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Solve for x.
5(x−3 3/4)=7 1/2
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x= 21/4
Step-by-step explanation:
1- Convert the expressions
5 ( x - 3 3/4 ) = 7 1/2
2- Remove the parentheses
5 ( x - 15/4 ) = 15/2
3- Move the constant to the right
5x - 75/4 = 15/2
4- Calculate the sum
5x = 15/2 + 75/4
5- Divide both sides
5x = 15/2 + 75/4
If 10% of a number is 40 and 55% of the same number is 220, find 65% of that number.
Answer:
We can use algebra to solve this problem. Let's call the unknown number x.
We are given that 10% of x is 40, so we can write that as:
x * 10% = 40
x * 0.1 = 40
We are also given that 55% of x is 220, so we can write that as:
x * 55% = 220
x * 0.55 = 220
We can now use these two equations to solve for x.
From the first equation, x = 40 / 0.1 = 400
We can substitute that value of x into the second equation to check if it's true.
400 * 0.55 = 220
Now, we have the value of x, we can use it to find 65% of that number.
x * 65% = x * 0.65 = 400 * 0.65 = 260
So, 65% of that number is 260
Answer:
260
Explanation:
Formulate: 220+40
----------------------/\ You should know the answer by now
What is the solution to 2h+8 > 3h-6
Answer:
h > 14
Step-by-step explanation:
You would solve this exactly as if the greater-than sign is an equal sign.
2h+8 > 3h-6
-h+8 > -6 [Subtract 3h from each side of the greater-than sign]
-h > -14 [Subtract 8 from each side of the greater-than sign]
h > 14 [Simplify]
Hope this helps! I apologize if I get this answer incorrect.
Amanda tiene 4 bolitas más que Rodrigo, y Patricio tiene una bolita más que el doble de Amanda y Rodrigo juntos. Si en total tienen 103 bolitas, cuantas bolitas tiene Amanda
Las cantidades de bolitas para cada una de las tres personas son las siguientes:
Amanda: 19 bolitas
Rodrigo: 15 bolitas
Patricio: 69 bolitas
¿Cuántas bolas tienen Amanda, Rodrigo y Patricio?En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:
Amanda
x = y + 4
Rodrigo
y
Patricio
z = 2 · (x + y) + 1
Total
x + y + z = 103
A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:
x + y + 2 · (x + y) + 1 = 103
3 · x + 3 · y = 102
x + y = 34
y + 4 + y = 34
2 · y = 30
y = 15
Luego, determinamos las cantidades de bolitas de Amanda y Patricio:
x = 15 + 4
x = 19
z = 2 · (19 + 15) + 1
z = 2 · 34 + 1
z = 68 + 1
z = 69
ObservaciónEl enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.
The statement is written in Spanish and the language used in the answer is the same of the statement.
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