The side lengths are:
AC in (5) is 40.88 inchesAC in (6) is 11.00 yardsAB in (7) is 24.10 centimetersBC in (8) is 27.99 inchesHow to solve the side lengths?Figure 5
To calculate AC, we use the following law of sines.
AC/sin(B) = BC/sin(A)
This gives
AC/sin(144) = 18/sin(15)
Multiply both sides by sin(144)
AC = sin(144) * 18/sin(15)
Evaluate
AC = 40.88
Hence, the side length AC in (5) is 40.88 inches
Figure 6
To calculate AC, we use the following law of sines.
AC/sin(B) = BC/sin(A)
This gives
AC/sin(14) = 31/sin(137)
Multiply both sides by sin(14)
AC = sin(14) * 31/sin(137)
Evaluate
AC = 11.00
Hence, the side length AC in (6) is 11.00 yards
Figure 7
To calculate AB, we use the following law of sines.
AB/sin(C) = BC/sin(A)
Where:
A = 180 - B - C --- angles in a triangle
This gives
A = 180 - 138 - 22
A = 20
So, we have:
AB/sin(22) = 22/sin(20)
Multiply both sides by sin(22)
AB = sin(22) * 22/sin(20)
Evaluate
AB = 24.10
Hence, the side length AB in (7) is 24.10 centimeters
Figure 8
To calculate BC, we use the following law of sines.
BC/sin(A) = AC/sin(B)
Where:
B = 180 - A - C --- angles in a triangle
This gives
B = 180 - 58 - 33
B = 89
So, we have:
BC/sin(58) = 33/sin(89)
Multiply both sides by sin(58)
BC = sin(58) * 33/sin(89)
Evaluate
BC = 27.99
Hence, the side length BC in (8) is 27.99 inches
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ali and jake went on a cross country trip they took a train part of the way and a bus the rest of the way they traveled a total of 1050 kilometers riding on the train 200 more kilometers than in the bus how many kilo meters did they travel by
Answer:
1900 km
Step-by-step explanation:
train = 1050km
bus = 200 less than train or 1050-200 = 850
1050+850=1900
Answer:
625, just got it right
Step-by-step explanation:
A blimp travels 255 feet in 1/2minute, 510 feet in 1/6 minute, and 3,060 feet in 1 minute.
is there or is there not a proportional relationship between the distance the blimp travels and the time it travels.
Answer:
We conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.
Step-by-step explanation:
We know if y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where k is called the constant of variation.
In our case we are given:
A blimp travels 255 feet in 1/2 minute
A blimp travels 255 feet in 1/2minute.here:
y = 255, and x = 1/2 = 0.5
so substituting y = 255 and x = 0.5 in the equation
k = y/x
k = 255 / 0.5
k = 510
A blimp travels 510 feet in 1/6 minute
here:
y = 510 , and x = 1/6
so substituting y = 510 and x = 1/6 in the equation
k = y/x
k = [510] / [1/6]
k = 3060
A blimp travels 3,060 feet in 1 minute
here
y = 3,060, and x = 1
so substituting y = 3,060 and x = 1 in the equation
k = y/x
k = 3,060 / 1
k = 3060
HERE IS THE VARIATION OF THE CONSTANT OF VARIATION:
A blimp travels 255 feet in 1/2 minute
k = 510
A blimp travels 255 feet in 1/2 minute
k = 3060
A blimp travels 3,060 feet in 1 minute
k = 3060
It is clear that the constant of variation does not remain constant.
Therefore, we conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.
Someone plz help me I will give brainliest !!
Answer:
I think its 8
Step-by-step explanation:
what is the probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9?
The probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9 is 1/2.
We have given that
A spinner with 8 equally size slices numbered 1 to 8 and some slices are white and other gray in colour .
Total possible outcomes = 8 = {1,2,3,4,5,6,7,8}
we have to calculate probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9?
let consider two events
A : wheel stops at white
B: wheel stops on white slice and number less than 9
favourable cases for event A = 4
= { 8,4,2,1}
P( wheel stops at white colour)
= favourable cases/total possible outcomes
= 4/8 = 1/2
favourable cases for event B = 4
= {1,2,4,8}
Probability ( wheel stops white slice with numbered less than 9)= white slice with number less than 9/ total slices numbered less than 9
= 4/8 = 1/2
Hence, the required probability is 1/2.
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Complete question:
spinner has 8 equally sized slices numbered from to 1&8 Some are white and some are grey, as shown below. 1 2 3 4 5 6 7 8 . Answer the following questions Write each answer a fraction. The wheel will be spun and will stop on a slice at random (a) What Is the probabllity that the wheel stops on grey slice, glven that the (b) wheel stops on &n even-numbered slice?
What technologies are necessary to implement and or support the use of blockchain technology?
Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.
Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.
Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.
Transparency: Every user on the network may confirm any modifications made to the blockchain technology.
The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.
When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.
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i need helppp
HELLPP!!!!!!!!!!!
√131 lies between 11 and 12.
What are whole numbers?The numbers that include natural numbers and zero are called whole numbers.
Given is the square root of 131.
We can write the square root of 131 as -
√131 = 11.45
We can write the whole numbers as -
11 < 11.45 < 12
Therefore, √131 lies between 11 and 12.
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How do you figure out the value of Q in excel?
263245=37.07Q+10.04*0.25*Q
263245= 37.07Q+2.51Q
263245=39.54Q
The value of Q using Excel will be approximately 6653.96. This is obtained using simple algebraic equations.
To figure out the value of Q in Excel, you can use a simple algebraic equation rearrangement and then solve for Q directly. In this case, you have the equation 263245 = 37.07Q + 10.04 * 0.25 * Q. By combining the terms on the right-hand side, you get 263245 = 37.07Q + 2.51Q, which simplifies to 263245 = 39.58Q. To find the value of Q, you can divide both sides of the equation by 39.58. The value of Q can be calculated as 263245 divided by 39.58, which is approximately 6653.96.
In Excel, you can directly calculate the value of Q by entering the formula in a cell. Here are the steps:
1. In a cell, enter the formula: =263245/39.58.
2. Press Enter, and Excel will calculate the value of Q.
The value of Q will be displayed in the cell where you entered the formula, and in this case, it will be approximately 6653.96.
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Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds
Answer:
stocks, bonds, mutual funds, and collectables
Step-by-step explanation:
Oliver has a points card for a movie theater.
He receives 50 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs 75 points for a free movie ticket.
How many visits must Oliver make to earn a free movie ticket?
Answer:
Ten times.
Step-by-step explanation:
If you add 2.5 ten times to 50, you will get 75. Therefore, Oliver will need to visit the theater 10 times to get 75 points.
Answer:
10
Step-by-step explanation:
There are 8 water bottles, and each bottle is 3/4 filled with water. If we pour all the water together, how many water bottles can be filled up?
Answer:
6
Step-by-step explanation:
8 * 3/4 = 24/4 = 6 WATER BOTTLES
1 Select the correct answer. What is the range of g(x) = 3|x-1| - 1? O A (-00, 1] В. [-1,00) C. [1,00) D. (-00,00)
Answer:
b
Step-by-step explanation:
The range of the function g(x) = 3|x-1| - 1 by evaluation is; [-1,00].
What is the range of the function?From the taks content, the function given is;
g(x) = 3|x-1| - 1Hence, it follows that the lowest possible value of y is -1 by means of the absolute value sign in the equation.
The range is therefore; [-1, 00].
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F(x) =2x-6 and g(x) = 7x +7.
i. Find f(x) = g(x).
ii. Find f(x) -g(x)
iii. Find f(x) + g(x)
i. 2x-6=7x+7 ii. 2x-6-7x+7 iii. 2x-6+7x+7
2x=7x+13 -5x+1 9x+1
0=5x+13
-13=5x
x=-13/5
Question 8 of 25 Ajar contains 40 dimes and nickels. The total value of the coins is $2.25. If d = the number of dimes and n= the number of nickels, this is the system of equations din = 40 0.0d + 0.05n = 2.25 How many of each type of coin are there? Solve the system to answer the question
A. 35 dimes and five nickels
B 5 dimes and 35 nickels
C 20 dimes and 20 nickels
D 10 dimes and 30 nickels
Answer:
Hello,
Answer A: 35 dimes and 5 nickels
Step-by-step explanation:
Let say
d the number of dimes
n the number of nickels
There are 25 coins: d+n=25
Total value : 0.1*d+0.05n=2.25
\(\left\{\begin {array} {ccc}d+n&=&40\\10*d+5*n&=&225\ multiplied\ by\ 100\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}n&=&40-d\\10*d+5*(40-d)&=&225\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}5*d&=&225-200\\n&=&40-d\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}5*d&=&25\\n&=&40-5\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}d&=&5\\n&=&35\\\end {array}\right.\\\\Proof:\\5*0.1+35*0.05=0.5+1.75=2.25\\\)
what is the best estimate for the amount of cost a when there is expected to be 8,570 units?
The best estimate for the amount of cost A when there is expected to be 8,570 units would depend on the cost per unit of A.
Without knowing the cost per unit, it is not possible to accurately estimate the total cost of A for 8,570 units.
To find the total cost of A for 8,570 units, you would multiply the cost per unit of A by the number of units (8,570). For example, if the cost per unit of A is $2, then the total cost of A for 8,570 units would be $2 x 8,570 = $17,140.
Therefore, without knowing the cost per unit of A, it is not possible to provide the best estimate for the amount of cost A when there is expected to be 8,570 units.
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I will give brainlyest
Answer:
Gretchen has mostly more than Manuel.
Step-by-step explanation:
Plz mark as Brainliest!
Use the Law of Cosines to solve each triangle with the given measures. Round answers to the nearest tenths. a = 4.38 ft, b = 3.79 ft, c = 5.22 ft
ANSWER
• A = 55.5°
,• B = 45.5°
,• C = 79.1°
EXPLANATION
The lengths of the three sides of a triangle are given. We have to use the Law of Cosines to find the measures of the interior angles,
Solving each of the equations above for the angles, A, B, and C, we can find their measures,
\(A=\cos^{-1}\left(\frac{a^2-b^2-c^2}{-2bc}\right)\)Replace the known values and solve,
\(A=\cos^{-1}\left(\frac{4.38^2-3.79^2-5.22^2}{-2\cdot3.79\cdot5.22}\right)\approx55.5\degree\)Repeat for angle B,
\(B=\cos^{-1}\left(\frac{b^2-a^2-c^2}{-2ac}\right)=\cos^{-1}\left(\frac{3.79^2-4.38^2-5.22^2}{-2\cdot4.38\cdot5.22}\right)\approx45.5\degree\)And for angle C,
\(C=\cos^{-1}\left(\frac{c^2-a^2-b^2}{-2\cdot a\cdot b}\right)=\cos^{-1}\left(\frac{5.22^2-4.38^2-3.79^2}{-2\cdot4.38\cdot3.79}\right)\approx79.1\degree\)Hence, the three interior angles of this triangle, rounded to the nearest tenth of a degree, are:
• A = 55.5°
,• B = 45.5°
,• C = 79.1°
Please help this is due in ten minutes!!!!!!!!!!!!
Use the figure to find the measures of <1 and <2.
How are rays and angles related? a ray , and an angle is two . the measure of an angle related to the length of its sides. so, the measure of an angle the same at all distances from its vertex.
Rays and angles are related because when two rays share a common endpoint, they form an angle
What is an angle?An angle's measure serves as its definition; it is independent of the angle's side lengths. A ray is a segment of a line where one point is fixed and the other has no end.
The combination of two rays with the same endpoint is called an angle. The vertex of the angle is the common endpoint of the rays, which are referred to as the sides of the angle. The distance between the rays is how an angle is measured.
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Complete question
How are rays and angles related?
Fatima paid for 5 pallets of grass to be delivered
Answer:
725.95
Step-by-step explanation:
Answer:
Hi, you answer would be $725.95
Step-by-step explanation:
First multiply 129.95 and 5, which equals $649.75. Now you add $649.75 and 76.20, which you would get your answer $725.95, hope this helps:)
¡cuantas unidades se deben producir para que el costo sea el más bajo posible?
\(c(x)=800-10x+0.25x^{2}\)
67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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How many solutions does the equation have? 4x+19= -9 -6x
A. one solution
B. no solution
C. an infinite number of solutions
D. impossible to determine
What type of number is -4/2?
Choose all answers that apply:
(Choice A) Whole number
(Choice B) Integer
(Choice C) Rational
(Choice D) Irrational
Answer:
The type of number that represents -4/2 is:
Choice B) Integer
Choice C) Rational
Step-by-step explanation:
The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.
-4/2 is an :
↬ Integer ↬ Rational numberSolution:
Before we make any decisions about the type of number -4/2 is, let's simplify it first.
It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?
______________
Whole numbersThis set incorporates only positive numbers and zero. So -2 doesn't belong here.
IntegersThis set incorporates whole numbers and negative numbers. So -2 belongs here.
RationalsThis set has integers, fractions, and decimals. So -2 does belong here too.
IrrationalsThis is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.
Summary-4/2 belongs in the integer and rationals set.
Hence, Choices B and C are correct.Acrylamide, a possible cancer-causing substance, forms in high-carbohydrate foods cooked at high temperatures. acrylamide levels can vary widely even within the same type of food. an article appearing in a certain journal included the following acrylamide content (in nanograms/gram) for five brands of biscuits. 346 296 334 276 248 (a) calculate the mean acrylamide level (in nanograms/gram). 300 nanograms/gram for each data value, calculate the deviation from the mean. data value deviations from the mean 346 296 334 276 248
The mean acrylamide level in nanograms/gram for the given data is 320.
To calculate the mean, we sum up all the data values and divide the sum by the number of values:
(346 + 296 + 334 + 276 + 248) / 5 = 1500 / 5 = 300
Therefore, the mean acrylamide level is 300 nanograms/gram.
To calculate the **deviation from the mean** for each data value, we subtract the mean from each value:
346 - 300 = 46
296 - 300 = -4
334 - 300 = 34
276 - 300 = -24
248 - 300 = -52
The deviations from the mean for each data value are as follows:
46, -4, 34, -24, -52
The positive deviations indicate values higher than the mean, while the negative deviations indicate values lower than the mean.
Understanding the deviations from the mean allows us to assess the variability of the acrylamide levels within the dataset. Positive deviations suggest higher acrylamide levels compared to the mean, while negative deviations indicate lower levels. Analyzing the spread of these deviations can provide insights into the consistency or variability of acrylamide content among different brands of biscuits.
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Allyson completed the division below.
9 StartLongDivisionSymbol 187.2 EndLongDivisionSymbol minus 18 = 07 minus 0 = 72. 72 minus 72 = a remainder of 0 and a quotient of 20.8.
What is Allyson’s error?
She included a 0 in the quotient that does not belong.
She multiplied the dividend by 100 instead of 10.
She should have multiplied both numbers by 100.
She did not subtract correctly in one of the steps.
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I did this.
Can someone help pls
Answer:
x = 0, x = 5
Step-by-step explanation:
x² - 5x = 0 ← factor out x from each term
x(x - 5) = 0
equate each factor to zero and solve for x
x = 0
x - 5 = 0 ⇒ x = 5
if you have 1 ball and it takes 8 balls to move that 1 ball. How many balls will it taked to rotate back to the first ball?
Answer:
Step-by-step explanation: why do u need 8 balls to move 1 lolwut
Please find the areas of the four rectangles and ADD
them together. Fill in the spaces below.
d = 20 ft What is the arc length the car traveled, to the nearest hundredth? 2.18 feet 4.31 feet 5.84 feet 06.63 feet
The car travelled an arc length of 7.85 ft (approx) to the nearest hundredth. Therefore, the option (B) 4.31 feet is incorrect. The correct option is (D) 6.63 feet.
Given, d = 20 ft Formula used: We know that Arc Length (S) = rΘ where Θ is in radians. In degrees, the formula can be modified as S = (ΠrΘ)/180.Here, d = 20 ft or r = 10 ft. Since 20 ft is the diameter, we divide it by 2 to get the radius. Now, we are to calculate the arc length.
To calculate arc length, we need Θ.Let’s try to find Θ.We know that the circumference of the circle is C = 2Πr. Here, the diameter is 20ft. Thus, r = 20/2 = 10 ft.
Circumference of the circle, C = 2Πr= 2Π × 10= 20ΠThe distance travelled by the car is 1/8th of the circumference, as it has to travel one-eighth of the circle.
1/8th of the circumference = (1/8)×(20Π) ft= 2.5Π ft≈ 7.85398 ft (to the nearest hundredth). Thus, the car travelled an arc length of 7.85 ft (approx) to the nearest hundredth.
Therefore, the option (B) 4.31 feet is incorrect. The correct option is (D) 6.63 feet.
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equals 20+20=40 Expression value is
Answer:
expression is 20. +20...