Answers
Area of the full circle = π (6)² = 36π
Area of the sector = 165/360 x 36π = 51.8 in²
Answer: 51.8 in²
3.14 x 36 = 113.04 square inches
the shape is 165 degrees of a full circle which is 360 degrees
so area of the shape would be 165/360 x 113.04
= 51.8 square inches
Related Questions
Classify each number as rational or irrational.
1. 0.329
2. 127.5
3. -89
4. √--- 101
Answers
127.5 : Rational numbers
-89 : Rational numbers
[tex] \sqrt{101}[/tex] : Irrational numbers
Hope this helps. - M
Answer:
A rational number is a number with a finite number of numbers after the decimal point, or the numbers after the decimal point repeat a given patern.
An irrational number is a number with infinite numbers afther the decimal point, and those numbers have no pattern, are all "random", some examples are the roots of prime numbers, like square root of 2.
1) 0.329
It has a finite quantity of numbers after the decimal point: rational
2) 127.5
It has a finite quantity of numbers after the decimal point: rational
3) -89
It has a finite quantity of numbers after the decimal point: rational
4) [tex]\sqrt{101[/tex]
101 is a prime number, so the square root of 101 must be a irrational number.
A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?
Answers
x-------> total weight of candies
we know that
x=(3/20)*x+1.2+(3/5)*x+0.3
x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb
the answer is
6 lb
David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, and eleven of the movies are dramas. David has not seen two of the comedies, and he has not seen four of the dramas. If David selects a movie randomly, what is the probability the movie will be a comedy or a movie that he has not seen?
Answers
A = number of ways to pick a movie David wants (either a comedy or a movie he hasn't seen)
B = number of movies total
There are 7 comedies and 4 dramas that David hasn't seen (note: the comedy movies that he hasn't seen are part of the "comedy movie" count, so there's no need to double count these). So there are 7+4 = 11 movies that David would want to rent. Therefore, A = 11.
There are 18 movies total for rent, so B = 18
Dividing the two values
A/B = 11/18 = 0.6111 approximately
The answer as a fraction is exactly 11/18
The answer in decimal form is roughly 0.6111
The answer in percent form is approximately 61.11%
[tex] |\Omega|=18\\
|A|=7+4=11\\\\
P(A)=\dfrac{11}{18}\approx61\% [/tex]
A swimming pool has four faucets. the first can fill the entire pool with water in two days, the second - in three days, the third - in four days, and the last one can fill the pool in 6 hours. how long will it take to fill the pool using all 4 faucets together (be exact)?
Answers
A-2 days
B-3 days
C-4 days
D-6 hours=6/24=1/4 days
Thus the time taken for the 4 faucets working together to fill the pool will be the GCD of the time taken by the 4, which will be:
GCD(2,3,4,0.25)
=1
=1 day
Answer: 1 day or 24 hours
A sound wave travels through iron at a rate of 5120 m/s. At what rate do the sound waves travel at km/h
Answers
Answer:
Sound waves travel through iron at 11,427,840 km/h.
Step-by-step explanation:
A kilometer is equal to 0.62 miles. An hour is equal to 3600 seconds. Therefore, if a sound wave travels through iron at a rate of 5120 m/s, it would be equal to (5120 x 0.62) km/s. This is equal to 3174.4 km/s which, multiplied by 3600 (the number of seconds that make an hour), would determine the speed in which a sound wave travels through iron. So, as 3174.4 x 3600 is 11,427,840, so sound waves travel at 11,427,840 km/h.
A parabolic archway is 12 meters high at the vertex. at a height of 10 meters, the width of the archway is 8 meters. how wide is the archway at ground level?
Answers
1. You have that the parabola is 12 meters high at the vertex and at a height of 10 meters, the width is 8 meter.
2. Therefore, you have:
x^2=-4a(y^2-k)
4^2=-4a(10-12)
16=-40a+48
16=8a
a=16/8
a=2
y=0
x^2=-8(0-12)
x^2=96
x=√96
x=9.79x2
x=19.58
3. Therefore, as you can see, the answer is: 19.58 meters.
We found the width at ground level to be approximately 19.6 meters.
We start by assuming the equation of the parabola to be of the form y = ax² + bx + c.
Since the vertex of the parabolic arch is at (0, 12), we know that c = 12. Next, we use the condition that at y = 10 meters, the width is 8 meters, meaning the points (4, 10) and (-4, 10) lie on the parabola. Plugging these into the equation:
For (4,10): 10 = a(4)² + b(4) + 1210 = 16a + 4b + 1216a + 4b = -2 (1)Solving for the same with (-4,10) is unnecessary as it results in the same equation. Next, we use the vertex form y = a(x - h)² + k ⇨ y = a(x - 0)² + 12 ⇨ y = ax² + 12.
From equation (1), we have 16a + 4b = -2. Since the vertex form tells us there is no 'b' term in the simplest form, 'b' must be 0. Thus, 16a = -2 ⇨ a = -1/8.
The equation of the parabola is therefore y = -(1/8)x² + 12.
To find the width at ground level (y = 0):
0 = -(1/8)x² + 12(1/8)x² = 12x² = 96 ⇨ x = ±√96 = ±4√6 ≈ ±9.8 meters.Thus, the total width of the arch at ground level is approximately 2 × 9.8 = 19.6 meters.
Twelve added to a number equals 18 find the number
Answers
x = 18, by subtracting 'x' from both sides, and adding 8 to both sides.
Which points in the scatter plot are outliers?
Point A
Point F
Point H
Point K
Point M
Answers
If you draw a line of best fit, you'll see that only two points lie way outside the line. These points are points K and F.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
the points are k and f
Step-by-step explanation:
Summer spent $55.60 on clothes before sales tax. If sales tax is 7.5%, what did Summer spend with tax included? *Add Explanation If U Can*
Answers
find the point slope equation for (-2,-20) and (9,79)
Answers
x1: -2
x2: 9
y1: -20
y2: 79
The general form for writing a point slope equation is y-y1 = m(x-x1)
M is your slope.
To find the slope, plug the values you just identified into the equation y2-y1/x2-x1
This leaves you with 79+20/9+2
Which equals 9, so your slope (m) equals nine.
you can now plug everything into the general form which gives you:
y+20 = 9(x+2)
The point-slope equation for the points (-2,-20) and (9,79) is y + 20 = 9(x + 2).
Explanation:To find the point-slope equation, we can use the formula: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Firstly, we calculate the slope using the formula: m = (y2 - y1)/(x2 - x1). Given the points (-2, -20) and (9, 79), the slope is (79 - (-20))/(9 - (-2)). Simplifying the expression, we get m = 99/11 = 9.
Next, we substitute one of the points and the calculated slope into the point-slope formula. Let's choose (-2, -20). So the equation becomes: y - (-20) = 9(x - (-2)). Simplifying further, we have: y + 20 = 9(x + 2).
This is the point-slope equation for the given points: y + 20 = 9(x + 2).
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Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is
%. Write your answer up to two decimal places.
NextReset
Answers
The percentage of respondents from the 46-55 age group who rated the film excellent is 20 %.
To determine the percentage of respondents from the 46-55 age group who rated the film excellent, you need two pieces of information: the number of respondents in that age group who rated the film excellent and the total number of respondents in that age group. The formula for calculating the percentage is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of respondents who rated excellent}}{\text{Total number of respondents in the age group}} \right) \times 100 \][/tex]
Assuming you have these numbers, let's denote the number of respondents who rated the film excellent in the 46-55 age group as X and the total number of respondents in that age group as Y. The formula becomes:
[tex]\[ \text{Percentage} = \left( \frac{X}{Y} \right) \times 100 \][/tex]
For example, if 20 respondents in the 46-55 age group rated the film excellent out of a total of 100 respondents in that age group, the calculation would be:
[tex]\[ \text{Percentage} = \left( \frac{20}{100} \right) \times 100 = 20\% \][/tex]
Therefore, replace X and Y with the actual numbers from your data to find the specific percentage.
How many Liters of a liquid can be held in a barrel
Answers
The sum of two numbers is 25, and the difference of their squares is 75. what are the two numbers?
Answers
14*14=196
11*11=121
196-121=75
the answer is x=14 and y=11
Help
A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.
Enter your answers in the boxes to complete the two-way table based on the given data.
Answers
Answer: The table should look like this
4 9 13
15 8 23
19 17 36
Step-by-step explanation:Happy to help
Based on the complete table, 19 people own a car, 13 people own a truck while 8 people neither own a car nor a truck.
How to complete the table
A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.
own a car Dont own a car Total
Own a trcuk 4 9 13
Dont own a trcuk 15 8 23
Total 19 17 36
Those that own car 15 + 4 =19
those that own truck 9 + 4 = 13
Those that own car and truck 4 (Given)
Those that owns none = 36-15-9 - 4 = 8
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The graph shows a probability distribution.
What is P(1.5≤X≤4.5)?
Enter your answer, as a decimal
P(1.5≤X≤4.5) =
Answers
In the picture, the area that colored red is from x=5 till x=1, so the length would be: 5-1= 4 blocks. The height of all the block is the same, which is p=1. The total area of the red block would be: length * height = (5-1) * 1 = 4
The area of P(1.5≤X≤4.5) would be: length * height = (4.5-1.5) * 1= 3
The probability of P(1.5≤X≤4.5) would be: area/ total area= 3/4= 0.75
A family of four (two kids and two parents) spend the day at an amusement park. At the end of the day, the family adds up all of the receipts from their meals: $16.25, $17.96, $3.58, $4.61, $5.23. What is the mean and median cost spent? What does the mean cost represent? Why is the mean cost significantly different from the median cost? Which measurement of central tendency is a better representation of the amount of money that the family spent at the amusement park?
Answers
A family of four spent the following for their meals $16.25, $17.96, $3.58, $4.61, $5.23.
Mean cost spent is calculated by:
Total Cost/Number of Meals
(16.25+17.96+3.58+4.61+5.23)/5
47.63/5
$9.53
Mean Cost represents the average amount per meal the family has spent.
Median cost is the cost that in the middle of the five costs which is $5.23.
The mean cost is significantly different from the median cost because it is higher.
Median cost is a better representation of the amount of money that the family spent because, with regard to meal costs, this means that exactly half of the meals in the amusement park are above this price ($5.23) and exactly half are below.
What is the minimum value of the graph of y=sin x assumes
Answers
The first thing you should do is draw this or get a program to do it. I use desmos. It is included. The graph shows one complete cycle every 2*pi intervals (or 360 degrees.)
You will find no lower value that y = - 1 (nor any value greater than y = 1)
Answer:
the answer is
negative one
- 1
Step-by-step explanation:
Using sin^2x+ cos^2 x=1 and other trig properties, simplify the following: (cos^2Ø*tan^2Ø)/(1-cos^2 Ø.
Answers
[tex]Used:\\\\\sin^2\O+\cos^2\O=1\to1-\cos^2\O=\sin^2\O\\\\\tan\O=\dfrac{\sin\O}{\cos\O}[/tex]
Which of the following is equal to 7÷9/5
A: 9×7/5 B: 7×9/5 C: 9×5/7
D: 7×5/9
Answers
Final answer:
To find the value of 7÷9/5, we multiply 7 by the reciprocal of 9/5, which is 5/9, resulting in the expression 7×5/9. The correct answer is D: 7×5/9.
Explanation:
To solve the expression 7÷9/5, we must interpret the division as multiplication by the reciprocal. In other words, dividing by a fraction is the same as multiplying by its reciprocal. Therefore, 7 divided by 9/5 is equal to 7 multiplied by the reciprocal of 9/5, which is 5/9.
So, the calculation will be 7×5/9. Here's the math:
Identify the reciprocal of 9/5, which is 5/9.
Multiply 7 by the reciprocal of 9/5: 7 × 5/9.
Calculate the product: 7 × 5 = 35, and 35 ÷ 9 does not simplify further in this context.
The correct answer from the options provided is D: 7×5/9. The other options, A: 9×7/5, B: 7×9/5, and C: 9×5/7 do not represent the correct transformation from division to multiplication by the reciprocal.
how many times greater is the value of the 2 in 204,936 than the value of the 2 in 124,936
A. 1/100
B. 1/10
C. 10
D. 100
E. 1,000
Answers
You bought a guitar 6 years ago for $400. It's value decreases by about 13% per year. Write a formula to show the value of the guitar over those six years and determine its current value
Answers
which is value = Original price x (1-percent change)^time
using the information from the problem
Value = 400 x(1-0.13)^6
value = 400 x 0.87^6
value = $173.45
Final answer:
The current value of the guitar after depreciating by 13% per year over 6 years is calculated using the exponential decay formula [tex]V = P(1 - r)^t[/tex], which gives us an approximate current value of $173.45
Explanation:
The given formula represents depreciation, where the value of an asset decreases over time. Applying this to the provided scenario, with an original price of $400 and a 13% annual depreciation rate, we calculate the value after 6 years. Substituting these values into the formula, we find: Value = [tex]400 \times (1 - 0.13)^6 = 400 \times 0.87^6 = \$173.45.[/tex]Therefore, after 6 years, the asset's value is approximately $173.45. Depreciation formulas like this one help assess the declining worth of assets over time due to various factors.
Select all that are undefined. sec (45°) csc (0°) sec (90°)
Answers
csc(0°) = 1/sin(0°) = 1/0 /undefined/
sec(90°) = 1/cos(90°) = 1/0 /undefined/
Final answer:
The sec(45°) and sec(90°) are defined, but csc(0°) is undefined.
Explanation:
To determine which of the given trigonometric functions are undefined, we need to understand the domains of these functions. In trigonometry, the secant and cosecant functions are undefined for angles where the cosine and sine functions are equal to zero, respectively.
For sec(45°), the cosine of 45° is equal to √2/2, which is not zero. Therefore, sec(45°) is defined.For csc(0°), the sine of 0° is equal to 0, which results in division by zero. Hence, csc(0°) is undefined.For sec(90°), the cosine of 90° is equal to 0, which again leads to division by zero. Thus, sec(90°) is undefined.PLS HELP ME ASAP WITH 1 AND 2, THANK YOU!! SM!!
(Brainliest will be given hopefully!)
(Random answers gets moderated.)
Answers
(3) The graph represents a function. The table has a domain of [0, 7] and a range of [170, 240].
The function might reasonably be used over a domain of [0, 24] and a range of [0, 240].
Find the value of n such that x2-10x+n is a perfect square trinomial.
A. -5
B. 50
C. 100
D. 25
Answers
D. 25
The explanation is shown below:
1. You have that:
(a ± b)^2=a^2 ± 2ab + b^2
2. The expression given in the problem is:
x^2-10x+n
Where x^2=a and 2ab=10x
2b=10
b=10/2
b=5
3. Therefore, you have:
b^2=5
b^2=25
b^2=n
n=25
Answer:
the answer is 25!!
Step-by-step explanation:
I hope this is helpful to sum of y'all!!
Find the probability of drawing a heart or a black card from a standard deck of cards
Answers
Hearts and black cards make up 3 of the 4 suits of cards. You could count the amount of them and then divide by 52 cards, or you can divide 3 by 4 since there are the same amount in every suit.
The probability of drawing a heart or a black card from a standard deck of cards is 3/4.
Explanation:In a standard deck of cards, there are 52 cards in total. However, since we are interested in finding the probability of drawing a heart or a black card, we need to determine how many cards satisfy this condition.
There are 13 hearts in a deck, so the probability of drawing a heart is 13/52 or 1/4. Additionally, there are 26 black cards (13 spades and 13 clubs) in a deck, so the probability of drawing a black card is 26/52 or 1/2.
To find the probability of drawing a heart or a black card, we can add the probabilities together: 1/4 + 1/2 = 3/4.
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your mom is looking at he amount of sugar in two different drinks the apple juice has 216 grams sugar for every 8 serving the sprite 234 grams of sugar for every 9 serving which drink has more sugar
Answers
The points at which a quadratic equation intersects the x-axis are referred to as
Answers
There is a number of different things these are referred to as. The first of which is the zeroes of the equation. They are called the zeroes of the equation due to the fact that this is where the function (or y-value) is equal to 0.
It can also be referred to as the x-intercepts. This is because it is where the graph intercepts the x-axis.
The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation
Given :
The points at which a quadratic equation intersects the x-axis
The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.
At x intercepts the value of y is 0.
So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .
The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation
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The longer leg of a right triangle is 4 more than twice the shorter leg. The hypotenuse is 4 less than three times the short leg. What is the value of the hypotenuse?
Answers
shorter leg =x
longer leg = 2x + 4
hypotenuse = 3x - 4
Given that a² + b² = c²
x² + (2x + 4)² = (3x - 4)²
Remove brackets : (a + b)² = a² + 2ab + b²:
x² + 4x² + 16x + 16 = 9x² - 24x + 16
Moved all terms to the left:
x² + 4x² + 16x + 16 - 9x² + 24x - 16 = 0
Combine like terms:
-5x² + 40x = 0
Multiply all terms by -1:
5x² - 40x = 0
Take out 5x as common factor:
5x(x - 8) = 0
Apply zero product property:
5x = 0 or x - 8 = 0
Evaluate:
x = 0 or x = 8
Since length cannot be zero, shorter leg = 8
shorter leg = 8
Hypotenuse = 3(8) - 4 = 20
Answer: 20 units
If nine people are in a room and every person shakes hands exactly once with each of the other people, how many handshakes will occur
Answers
Answer: 36 handshakes
What are the minimum, first quartile, median, third quartile, and maximum of the data set?
12, 6, 8, 3, 10, 15, 18, 7
Answers
[tex]3,\:6,\:7,\:8,\:10,\:12,\:15,\:18[/tex]
The minimum is 3.
The first quartile is the average of 6 and 7, which is 6.5
The median is the average of 8 and 10 which is 9.
The third quartile is the average of 12 and 15 which is 13.5.
The maximum is 18.