The sector angle formed by the cone when it is opened is 54°.
V = 95.4 cm³
r = 2.4 cm
Calculating the height of the cone using the volume formula,
V= 1/3 x π x r² x h
Substituting the values -
95.4 = 1/3 x 3.14 x 2.4² x h
95.4 = 6.03 x h
h = 15.8 cm
Calculating the slant height using the Pythagoras theorem -
l = √(h² + r²)
Substituting the values -
l = √(15.8² + 2.4²)
l = 16
Calculating the curved surface area of the cone -
= πrl
= π(2.4)(16)
= 120.6 cm².
Calculating the sector angle of the sector formed -
The curved surface area of the cone = area of the sector formed by the cone
= 120.6 cm².
Area of a sector in a circle = ∅/360 × πr²,
120.6 = ∅/360 × (3.14)(16²)
120.6 = ∅/360 × 803.84
(120.6)(360) = (∅)(803.84)
43,416/803.84 = ∅
∅ = 54°
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Evaluate 3X +4Y, when X = -2 and Y = 4
Answer:
10Solution,
X=-2
y=4
Now,
3x+4y
\( = 3 \times ( - 2) + 4 \times 4 \\ = - 6 + 16 \\ = 10\)
hope this helps...
Good luck on your assignment..
Answer:
Ok,you just need substitute the x for the value given\
=3x+4y
=3(-2)+4(4) Multiple the values
=-6+16 Just add the values
=10 So,this is the answer
I hope this help you :)
If you need some help more just let me know...
Elizabeth records the number of points her favorite basketball team scores in each game. She predicts that the team will score about 120 points in its next game is Elizabeth's prediction reasonable?
pls help it due tomorrow
Answer:
Based on the data that Elizabeth has gathered about her favorite basketball team's previous game scores, it's difficult to say whether her prediction of 120 points in the next game is reasonable. However, if the team has been consistently scoring around that range in the past few games, then it's possible that Elizabeth's prediction could be accurate. However, it's always important to keep in mind that any prediction or estimate is subject to unexpected changes, so it's always best to take them with a grain of salt.Step-by-step explanation:
yeah
five cards are dealt from a standard 52-card deck. (a) what is the probability that we draw 2 aces and 3 kings? (round your answer to six decimal places.)
The probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002. To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck.
The total number of ways to choose 5 cards from a deck of 52 cards is given by the combination formula:
C(52, 5) = 52! / (5! * (52-5)!) = 2598960To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck. There are 4 aces and 4 kings in the deck, so the number of ways to choose 2 aces from 4 aces and 3 kings from 4 kings is given by:
C(4, 2) * C(4, 3) = 6 * 4 = 24Next, we need to find the number of ways to choose the remaining cards from the deck. There are 44 cards that are not aces or kings, so the number of ways to choose 5 cards from these 44 cards is given by:
C(44, 5) = 44! / (5! * (44-5)!) = 1,533,939Therefore, the total number of ways to draw 2 aces and 3 kings and 5 cards from the deck is:
24 * 1,533,939 = 36,854,536Finally, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is:
36,854,536 / 2598960 = 0.000002 (rounded to six decimal places)Therefore, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002.
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(sin(\theta )+cos(\theta )-tan(\theta ))/(sec(\theta )+csc(\theta )-cot(\theta )) given that tan\theta =-(4)/(3) in quadrant II
We have to find the value of `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`
Let's find all trigonometric ratios:
We can say that:
\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)
{Using the Pythagorean Theorem we can find the hypotenuse }
\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)
\(= \sqrt{16+9}\)
= \(\sqrt{25}\)
=\(5$$$$\)
Substituting the values of sinθ, cosθ and tanθ in `
\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)
\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)
\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)
\(=-\frac{17}{14}$$\)
Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to
`-17/14` when `tanθ=−43` (Quadrant II).
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Do the side length measurements of 80 cm, 60 cm, and 100 cm form a right triangle? Answer yes or no
The side length measurements of 80 cm, 60 cm, and 100 cm form a right triangle.
In this question we need to determine whether the side length measurements of 80 cm, 60 cm, and 100 cm form a right triangle.
We know that any three integers a, b, c are Pythagorean triples if and only if a^2 + b^2 = c^2 where c > a, b
Consider c = 100 cm, a = 80 cm and b = 60 cm
Taking the square of each integer we get,
a^2 = 80^2
= 6400
b^2 = 60^2
= 3600
c^2 = 100^2
= 10000
Consider a^2 + b^2
= 80^2 + 60^2
= 6400 + 3600
= 10000
= c^2
So, (80, 60, 100) is a Pythagorean triple.
Therefore, the given side length measurements form a right triangle
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Let t, ao, ... 9 an-1 be real numbers. As usual, let Id, denote the n X n identity matrix. By using e.g. induction, compute the determinant of the n x n matrix 0 -ao 1 -a1 : t Idn -an-2 -an-1 1
The determinant of the given n x n matrix is t^n + (-1)^(n+1) * (a_1 * a_2 * ... * a_(n-1)).
The determinant of the n x n matrix, we can use the Laplace expansion or the cofactor expansion method. In this case, we'll use the cofactor expansion method.
Let's denote the given matrix as A. The determinant of A, denoted as det(A), can be calculated as follows:
1. For the base case of n = 1, the determinant is simply the single element in the matrix, which is t. Therefore, det(A) = t.
2. For the inductive step, assume that the determinant of an (n-1) x (n-1) matrix is given by det(A_{n-1}), which can be computed as t^(n-1) + (-1)^(n) * (a_1 * a_2 * ... * a_(n-2)).
3. Now, consider the full n x n matrix A. We'll expand the determinant along the first row. The cofactor of the element a_1 is given by C_11 = (-1)^(1+1) * det(A_{n-1}), which is t^(n-1) + (-1)^(n) * (a_1 * a_2 * ... * a_(n-2)).
4. The cofactor of the element a_2 is given by C_12 = (-1)^(1+2) * det(A_{n-1}), which is (-1) * (t^(n-1) + (-1)^(n) * (a_1 * a_2 * ... * a_(n-2))).
5. Proceeding in this manner, we can compute the cofactors for the remaining elements in the first row.
6. Finally, we can expand det(A) using the first row as det(A) = a_1 * C_11 + a_2 * C_12 + ... + a_n * C_1n. Simplifying this expression, we get det(A) = t^n + (-1)^(n+1) * (a_1 * a_2 * ... * a_(n-1)).
Therefore, the determinant of the given n x n matrix is t^n + (-1)^(n+1) * (a_1 * a_2 * ... * a_(n-1)).
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identify the zeros and asymptotes of
f(x)=
X²-9
x²-16
The zeros of f(x)= x²-9 is +3 and -3
The zeros of f(x) = x²-16 is +4 and -4
What are zeros and asymptotes?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. Vertical Asymptotes.
The zeros of a function are defined as the values of the variable of the function such that the function equals 0.
Therefore when f(x) =0
x²-9 = 0
x² = 9
x =√9
x = ±3
therefore the zeros of x²-9 is ±3
The vertical asymptote is 0 and horizontal asymptote is infinity.
x²-16 = 0
x² = 16
x = √16
x = ±4
the vertical asymptote is 0 and horizontal asymptote is infinity.
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What graph is (-5, 0)?
Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.
Answer:
8.98π = 28.22 in^2.
Step-by-step explanation:
Area of the whole circle = πr^2 = 7^2 * π
= 49π
So the area of sector MOR
= (66/360) * 49π
= 8.98π = 28.22 in^2.
last question, please help.
Answer:
i thought it was just the area i dont know how to do literal area yet sorry
Step-by-step explanation:
Eric is going to flip a coin 2 times. what is the fractional probability that it will be one head and one tail (in any order)?
Answer:
2/4=1/2
Step-by-step explanation:
suppose f : rn → rm is a linear map. what is the derivative of f ?
If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.
In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.
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six more than a number y
Answer:
wdum
Step-by-step explanation:
Answer: y+6
Step-by-step explanation: more than means add and it six more so u do y +6
Speed of Cart Over Time
35
30
25
20
Speed (miles per hour)
15
10
5
1 2 3 4 5 6 7 8
Time (minutes)
At approximately what time did the speed of the cart begin to decrease?
Step-by-step explanation:
OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!
What is the sum of 13 + (-8)?
Answer:
The answer is 5
Step-by-step explanation:
the answer is 5 because it just is
Arun noticed the 5s in his score were next to each
other. describe the relationship between the 5s in
arun's score.
$5.519
x10
The relationship between the 5's in arun's score, $5.519 is the value of first 5 ( before decimal) is ten times great the value of second 5 ( after decimal).
What is place value of digits?Place value gives the value of each digit in the specific number. This implies that it gives the value of the digit according to its position in the specific number. Determine the place value of first 5, that is, present before the decimal in the given number $5.519. It is evident that first 5 is present at units place before the decimal. Find the place value of 5 by multiplying it by 1, i.e , 5×1 =5.
Determine the place value of second 5, that is, present after the decimal in the number 5.519. It is also evident that 5 is present at the tenths place after the decimal. Find the place value of 5 by multiplying it by (1/10), i.e., 5/10 =0.5..
Now,the relationship between the two 5' s in number $5.519 is determined as value of first 5 in number 10 times great the value of second 5.
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Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
Dan had $104
Paul had $40
Step-by-step explanation:
13x-32=5x+32
8x=64
x=8
8*5=40
13*8=104
Which one of the following pairs of sets has no members in common?
{all composite numbers} , {all odd numbers}
{all multiples of three} , {all multiples of four}
{all odd numbers} , {all even numbers}
{all prime numbers} , {all even numbers}
none of these
Answer:
{all multiples of three} , {all multiples of four}
Step-by-step explanation:
hope it helps u
pls mark me as branliest
Answer:
option d!!!!!!
12, and 18
1. Does the following function represent exponential growth or decay?
Answer:
B - Decay
Please make my answer the brainliest!
Step by step explanation:
15+2w = 5w+5 solve for w
Answer:
10/3
Step-by-step explanation:
15+2w=5w+5
15=5w-2w+5
15=3w+5
3w=15-5
3w=10
w=10/3
Answer:
10/3=w
Step-by-step explanation:
15+2w = 5w+5
15=3w+5
10=3w
10/3=w
Which is the angle measured in a horizontal circle around your horizon? ecliptic equator azimuth right ascension
Azimuth is the angle measured in a horizontal circle around your horizon.
In this question,
The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.
A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.
Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).
The meridian is an imaginary North-South line running through the zenith.
Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.
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Answer this - wrong answers will be reported/deleted
Answer:
58.03 ft
Step-by-step explanation:
To solve for the total circumference of circle F, we can create a ratio of section angle measure to circumference. We know that these two attributes of a circle have a linear relationship because the formula for arc length (\(S = 2\pi r \cdot \frac{\theta}{360\°}\)) relies proportionately on the radius and angle measure of the section.
angle measure : circumference
290° : 46.75 ft
We can multiply this ratio by \(\frac{360}{290}\) to get the corresponding circumference for a 360° section (which is the entire circle).
\(\frac{360}{290}(290\° : 46.75 \text{ ft})\)
\(= 360\° : \boxed{58.03 \text{ ft}}\)
Therefore, the circumference of circle F is approximately 58.03 ft.
solve 2x + -3 = -23 algebraically
Answer:
x = -10
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
Hope this helps!
Have a nice day <3
describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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Perimeter is 25 cm, find x 10 8.2 cm
Assume the likelihood that any flight on Delta Airlines arrives within 15 minutes of the scheduled time is 0.79. We select three flights from yesterday for study: (Round the final answers to 4 decimal places:) What is the likelihood all three of the selected flights arrived within 15 minutes of the scheduled time? Probability b. What is the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time? Probability c What is the likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time? Probability
a. To find the likelihood that all three selected flights arrived within 15 minutes of the scheduled time, we'll multiply the probability for each individual flight:
Probability (All 3 Flights On Time) = 0.79 * 0.79 * 0.79 = 0.79^3 = 0.4933
So, the likelihood that all three flights arrived within 15 minutes of the scheduled time is 0.4933 or 49.33%.
b. To find the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time, we'll first find the probability of a single flight being late (1 - 0.79 = 0.21) and then multiply the probabilities:
Probability (All 3 Flights Late) = 0.21 * 0.21 * 0.21 = 0.21^3 = 0.0093
So, the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time is 0.0093 or 0.93%.
c. To find the likelihood that at least one of the selected flights did not arrive within 15 minutes of the scheduled time, we'll subtract the probability that all flights are on time from 1:
Probability (At Least 1 Flight Late) = 1 - Probability (All 3 Flights On Time) = 1 - 0.4933 = 0.5067
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Identifying solutions by evaluating is the number a solution of 2x +1>-3
Answer:
b or c
Step-by-step explanation:
2×-1 +1= -1
-1>-3
2×0+1= 1
1>-3
For this reason the equality can be b or c
How many grams of na2o are required to produce 160 grams of NaOH? Show your work
Na2O+H2O->2NaOH
We need 124 grams of Na2O to produce 160 grams of NaOH
What is Balanced Equation?A balanced chemical equation is an equation where the number of atoms of each type in the reaction is the same on both reactants and product sides.
Let us first convert 160 grams of NaOH to moles using its molar mass. The molar mass of NaOH is:
Na = 22.99 g/mol
O = 15.99 g/mol
H = 1.01 g/mol
Molar mass of NaOH = 22.99 + 15.99 + 1.01 = 40.00 g/mol
Number of moles of NaOH = mass / molar mass = 160 g / 40.00 g/mol = 4.00 mol
Since the reaction requires 2 moles of NaOH for every 1 mole of Na2O, we need half as many moles of Na2O as NaOH.
Therefore, we need: 1/2 x 4.00 mol = 2.00 mol of Na2O
Finally, we can convert moles of Na2O to grams using its molar mass:
Na = 22.99 g/mol
O = 15.99 g/mol
Molar mass of Na2O = 22.99 + 2(15.99) = 61.98 g/mol
Mass of Na2O = number of moles x molar mass = 2.00 mol x 61.98 g/mol = 123.96 g
Therefore, we need 124 grams of Na2O to produce 160 grams of NaOH
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determine the slope of a line that contains the points (6, 7) and (5, 1)
Answer:
6
Step-by-step explanation:
y2-y1, x2-x1
\(\frac{1-7}{5-6}\)
\(\frac{-6}{-1}\)
answer is 6
Two trains, Train A and Train B, weigh a total of 501 tons. Train A is heavier than Train B. The difference of their weights is 449 tons. What is the weight of each train?
Answer:
Train A weights 475 tons and Train B weights 26 pounds
Step-by-step explanation:
475 - 449 = 26
26 is the weight of Train B
475 is the weight of Train A
This is true because
475 + 26 = 501