Answers
The missing sides and angles of the triangles are:
1) ∠L = 53°
LA = 23.145 ft
AB = 18.9 ft
2) ∠S = 57.31°
SA = 98.57 cm
SW = 69.12 cm
3) B = 30.71°
C = 99.29°
How to use law of sines and cosines?The law of cosine formula is expressed as:
c² = a² + b² - 2ab cos C
The Law of sines is expressed as:
a/sin A = b/sin B = c/sin C
Thus:
1) ∠L = 180 - (102 + 25)
∠L = 53°
LA/sin 102 = 10/sin 25
LA = 23.145 ft
AB = 10 * sin 53/sin 25
AB = 18.9 ft
2) ∠S = 180 - (79 + 43.69)
∠S = 57.31°
84.5/sin 57.3 = SA/sin 79
SA = 98.57 cm
SW/sin 43.69 = 84.5/sin 57.3
SW = 69.12 cm
3) 15/sin 50 = 10/sin B
sin B = (10 sin 50)/15
sin B = 0.5107
B = sin⁻¹0.5107
B = 30.71°
C = 180 - (50 + 30.71)
C = 99.29°
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Related Questions
Southeastern Bell stocks a certain switch connector at its central warehouse for supplying field service offices. The yearly demand for these connectors is 15,400 units. Southeastern estimates its annual holding cost for this item to be $24 per unit. The cost to place and process an order from the supplier is $74. The company operates 300 days per year, and the lead time to receive an order from the supplier is 2 working days.
Answers
The economic order quantity (EOQ) for the switch connectors is approximately 97 units.
To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:
EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)
Given the following information:
Annual Demand = 15,400 units
Holding Cost = $24 per unit
Order Cost = $74 per order
Plugging in the values into the formula, we get:
EOQ = √((2 * 15,400 * 74) / 24)
EOQ = √(227,200 / 24)
EOQ = √(9,466.67)
EOQ ≈ 97.28
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At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat? A. 0.2x
B. x–20
C. x–0.2
D. x–0.2x
Can someone explain why is D correct ?
Answers
Answer:
Step-by-step explanation:
x-.20x
Lets say the hat cost $100
x=100
multiplying 100 by 20% which is .20 yields $20
S0 $20 is the discount which we subtract from the original price
100-20 and get the sale price of $80
They use a shortcut so you don't have to do the subtracting of the discount
They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount
So in this case the discount percent was 20% = .20
Subtracted from 1
1-.20=.80
Since x is the original price we multiply x by the .80 to get
.80x
43. Can you place ten lumps of sugar in three empty cups so that
there is an odd number of lumps in each cup?
Answers
Answer: No.
Step-by-step explanation:
We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.
This only can happen if we have 3 odd numbers such that the addition is equal to 10.
Now 10 is an even number, remember that even numbers can be written as:
2*k
where k is an integer number.
And odd numbers can be written as:
2*n + 1
where n is an integer.
Then we have 3 odd numbers, let's call them:
(2*n + 1), (2*k + 1) and (2*p + 1).
Now let's add them:
(2*n + 1) + (2*k + 1) + (2*p + 1).
2*(n + k + p) + 1 + 1+ 1
2*(n + k + p) + 2 + 1 =
2*(n + k + p + 1) + 1.
Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:
2*X + 1
This is an odd number
So for any 3 odd numbers that we add together, the result will always be an odd number.
Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).
Then is not possible to have an odd number of lumps in each cup.
What is inverse of the function f(x) = 4(x - 3)?
Answers
The inverse of the function f(x) = 4(x - 3) is f⁻¹(x)=(x+12)/4.
What is meant by inverse function?A function that "undoes" another function is known as an inverse in mathematics. In other words, if f(x) generates y, then y entered into f's inverse creates x. x . Invertible refers to a function that has an inverse, which is represented by the symbol f1.
Inverse functions are functions that "reverse" one another in the broadest sense. If f, for instance, goes from a to b, then its inverse, f 1 f -1 f 1f, start superscript, minus 1, end superscript, must go from b to a.
Make f a function. Any horizontal line that crosses the f graph more than once indicates that f lacks an inverse. F has an inverse if there are no horizontal lines that cross the graph of f more than once.
Let f(x)=y
f(x)=4(x-3)
f(x)=y
y=4(x-3)
x=4(y-3)
x=4y-12
4y=x+12
y=(x+12)/4
Therefore, f⁻¹(x)=(x+12)/4
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which inequality hs the graph shown below. (will mark you brainliest)
Answers
Answer:
y < 2x-3
Step-by-step explanation:
First you graph the -3, and the slope is 2 so you go up 2 and over 1. Since y is less than 2x-3, you shade the right region.
A random variable is a. A variable that takes of values that are uncertain b. A variable that takes on known values c. A variable that is always zero d. A variable that takes on null values only
Answers
A random variable is a variable that takes on values that are uncertain or probabilistic in nature.
Therefore, the correct option is a) A variable that takes on values that are uncertain.
Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.
These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.
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I need with this please! It due tonight.
Answers
Answer:
x = 17
Step-by-step explanation:
1. First, we should know that all angles in any triangle add up to 180°.
This means that x + 17 + 6x + 10 + 4x - 34 = 1802. (Solving)
Step 1: Simplify both sides of the equation.
\((x+6x+4x)+(17+10-34)=180\) \(11x -7 = 180\)Step 2: Add 7 to both sides.
\(11x - 7 + 7 = 180 + 7\) \(11x = 187\)Step 3: Divide both sides by 11.
\(\frac{11x}{11} =\frac{187}{11}\) \(x = 17\)Step 4: Check if solution is correct.
\((17)+17+6(17)+10+4(17)-34=180\) \(17 + 17 + 102 + 10 + 68 - 34 = 180\) \(214 - 34 = 180\) \(180 = 180\)Therefore, x = 17.
Answer:
x=17
Reasoning:
The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.
\(6x+x+4x+17+10-34=180\)
\(11x-7=180\)
\(11x=187\)
\(\frac{11x}{11} =\frac{187}{11}\)
\(x=17\)
HELP
The net of a triangular prism is shown below. Which of the following equations could be used to find the total surface area of the net?
Answers
Answer:
D.
Step-by-step explanation:
I don't know for a fact but I'm pretty sure its D. sorry if its wrong.
Hope this helped.
I
need the details why we choose answer c
109) Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation? A) 425 B) 442 C) 440 D) 475 A
Answers
The estimated crop yield from the simulation is 443 (option b).
To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.
Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81
To find the estimated crop yield, we sum up all the random numbers:
37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443
Therefore, the estimated crop yield from the simulation is 443. The correct option is b.
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Amrit's income is 32% more than Bethan's income. Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Can you show your working?
Answers
b = Bethan's Income
hmmm how much is 32% of "b" anyway?
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill\)\(\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}\)
4.34 quarts is equivalent to how many microliters?
Answers
4.34 quarts is equivalent to 4,111,568.832 microliters.
To convert from quarts to microliters, you can use the following conversion factors:
- 1 quart = 946.352946 mL
- 1 mL = 1000 microliters
First, convert quarts to milliliters:
4.34 quarts * 946.352946 mL/1 quart = 4109.8697 mL
Next, convert milliliters to microliters:
4109.8697 mL * 1000 microliters/1 mL = 4,109,869.7 microliters
Round to the nearest whole number to get the final answer:
4,109,870 microliters
So, 4.34 quarts is equivalent to 4,109,870 microliters.
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ray made a down payment of 1250 on a car that cost 12500 what percent of the purchase price did ray pay as his down payment
Answers
Ray made a down payment of 1250 on a car that cost 12500 what percent of the purchase price did ray pay as his down payment?
1,250 of 12,500 = 10%
The table represents an exponential function.
What is the multiplicative rate of change of the
function?
Х
1
3
.
2.
4
9
16
9
Answers
Answer:
Step-by-step explanation:
An exponential function has a standard form
\(y=a(b)^x\) where a is the initial value, b is the rate of growth or decay, and x and y are found in coordinates from the table. We need to solve for b, the rate of change (growth or decay). We will use the first 2 coordinates in the table, namely (1, 6) and (2, 4) to solve for b. We will use a system of equations...2 equations for 2 unknowns. The first equation is found by plugging in a 6 for y and a 1 for x to get:
\(6=a(b)^1\) and, solved for a:
\(a=\frac{6}{b}\).
In the second equation, we will plug in a 4 for y, a 2 for x and the value for a we just found:
\(4=\frac{6}{b}(b)^2\) and, simplified a bit:
\(4=\frac{6b^2}{b}\) which finally simplifies to
4 = 6b and
\(b=\frac{2}{3}\). That's the rate of change we are asked to find. We could continue to find the whole equation. Plug in 2/3 for b to solve for a:
\(a=\frac{6}{\frac{2}{3} }\) and
\(a=\frac{6}{1}*\frac{3}{2}=\frac{18}{2}=9\) and the exponential equation is
\(y=9(\frac{2}{3})^x\) that means that we started with 9 of something and it is dying/decaying/depreciating at a rate of 33%
HELP PLEASE!!!! I WILL GIVE 12 POINTS AND BRAINLIEST
Answers
Answer:
b
Step-by-step explanation:
Answer:
The answer would be b.
hello! help please ?
Answers
Answer:
d
Step-by-step explanation:
the graph of using step by step
Answer:
x = 9.32
Step-by-step explanation:
use the angles strategy
is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics
Answers
Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.
Below are brief explanations of each of these terms:
Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.To know more about data forecasting, visit
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Nicole's Bikes rents bikes for $17 plus $3 per hour. Ndiba paid $41 to rent a bike. For how many hours did he rent the bike?
Answers
Answer:
Ndiba rented the bike for 8 hours
Step-by-step explanation:
41 - 17 = 24
24 ÷ 3 = 8
balancing work and school: is there a correlation between how many hours per week a student works outside of school and how many units the student takes in a quarter? a cluster sample of 482 students is chosen.
Answers
Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.
The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.
The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.
A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.
In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.
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The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 82° is changed to 94°, which of the following measures changes the most and what is the new value?
IQR 34°
Range 48°
Mean 81.4°
Median 84°
Answers
The measure that changes the most is the IQR, which decreases from 34° to 29° when the value of 82° is changed to 94°.
Arithmetic measuresFirst, let's recalculate the measures with the new value of 94°:
New Mean = (58+61+71+77+91+100+105+102+95+94+66+57)/12 = 82.5°
New Median = 82° (unchanged since the new value is between 91 and 66, which are the values above and below the original value of 82°)
New Range = 105° - 57° = 48° (unchanged since neither the maximum nor the minimum value has changed)
New IQR = Q3 - Q1, where Q1 is the first quartile and Q3 is the third quartile. To find the new quartiles, we need to first find the median of the lower and upper halves of the data set:
Lower half: 58, 61, 66, 71, 77, 82 = median of {66, 71} = 68.5
Upper half: 91, 94, 95, 100, 102, 105 = median of {95, 100} = 97.5
New Q1 = median of the lower half = 68.5
New Q3 = median of the upper half = 97.5
New IQR = Q3 - Q1 = 97.5 - 68.5 = 29
Therefore, the measure that changes the most is the IQR, which decreases from 34° to 29° when the value of 82° is changed to 94°.
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Answer:
The measure that changes the most is the IQR, which decreases from 34° to29° when the value of 82° is changed to 94°.
Step-by-step explanation:
That is at least what I got
calculate the average of the following set of values: 18,4,12.99,13.772 and 9.704
Answers
The average of the given values 18, 4, 12.99, 13.772, and 9.704, is approximately 11.6932.
The average of the values 18, 4, 12.99, 13.772, and 9.704 can be calculated by summing all the values and dividing by the total number of values.
To calculate the average, also known as the arithmetic mean, of a set of values, we add up all the values and then divide the sum by the total number of values.
In this case, we have the values 18, 4, 12.99, 13.772, and 9.704.
To find the average, we add up all the values:
18 + 4 + 12.99 + 13.772 + 9.704 = 58.466
Next, we divide the sum by the total number of values, which in this case is 5:
58.466 / 5 = 11.6932
Therefore, the average of the values 18, 4, 12.99, 13.772, and 9.704 is approximately 11.6932.
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Given h(x):
-x2+3x, find h(5).
Answers
3.
Find the value of x.
16
10
14
9
Answers
Answer:
x = 9
Step-by-step explanation:
Both the triangles are similar, so the corresponding sides are also similar.
That is,
12 / 8 = x / 6
Cross multiply,
x * 8 = 12 * 6
8x = 72
Divide 8 on both sides,
x = 72 / 8
x = 9
How many 1/4 mile segments are in a 2 mile relay?
Answers
\(\frac{2}{1}\) ÷ \(\frac{1}{4}\) is the same as \(\frac{2}{1}\) × \(\frac{4}{1}\)
\(\frac{2}{1}\) × \(\frac{4}{1}\) = \(\frac{8}{1}\)
= 8
I hope this helps! :D
The rule used as a basis of comparison for measuring quantitative orqualitative value is ______.
Answers
Answer:
standard or standards
Step-by-step explanation:
How do u solve this?
Answers
Answer:
You can solve this by substitution method
substitute the value of Y from 2nd equation in the first thet will give you the value of X and once your find the value of X you can substitute that value in any of the equation and get the answer
Answer:
x = - 27/8 and
y = - 97/8
Step-by-step explanation:
3x-2=y
3x - 2 = 1/3x - 11
3x - 1/3x = -11 + 2
8/3x = - 9
x = (-9) / (8/3)
x = - 27/8
Substitution:
3(-27/8)- 2 = y
81/8 - 2 = y
y = - 97/8
Darnel is a lifeguard at the Hammontown Pool. He can only let a certain number of people in the pool area at a time. So far, Darnel has allowed 78 people into the pool area. Darnel can only let in 47 more people before reaching the pool area's maximum capacity Let c represent the maximum capacity of the pool area.
Answers
The maximum capacity of the pool area is 78 + 47 = 125 people.
What is expression ?An expression is a mathematical phrase that can contain numbers, variables, operators, and functions. It does not have an equal sign, and its value can vary depending on the values assigned to the variables. Expressions can be simple, like 2x + 3, or more complex, like (4x - 1)/(2y + 5). Expressions are used in algebra, calculus, and other areas of mathematics to represent relationships and make calculations.
According to given condition :Let's use c to represent the maximum capacity of the pool area.
We know that Darnel has already let in 78 people, and he can only let in 47 more people before reaching the maximum capacity. This can be represented as the inequality:
78 + x ≤ c
where x is the number of additional people that Darnel can let in before reaching the maximum capacity.
To solve for c, we can isolate it on one side of the inequality by subtracting x from both sides:
78 + x - x ≤ c - x
Simplifying, we get:
78 ≤ c - x
Finally, to find the maximum capacity c, we need to add x to both sides:
78 + x ≤ c
So the maximum capacity of the pool area is 78 + 47 = 125 people.
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Solve for all values of x by factoring
Answers
Answer:
x= 0,5
Step-by-step explanation:
You have to move all the terms to the left side and set them equal to zero. Then set each factor equal to zero.
Hope this helped you!
⭐ If it helped you please give brainliest! ⭐
twelve different video games showing drug use were observed. the duration times of drug use were recorded, with the times (seconds) listed below. what requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 80 sec? are the requirements all satisfied?
Answers
The requirements for a one-sample t-test are generally satisfied assuming a simple random sample and a large enough sample size. However, we cannot determine if the normality requirement is met without examining the data.
To test the claim that the sample is from a population with a mean greater than 80 sec, we need to perform a one-sample t-test. The following requirements must be satisfied to use the one-sample t-test:
The sample must be a simple random sample from the population.
The variable under study must be continuous or approximately continuous.
The population must be normally distributed or the sample size should be large (n > 30).
To determine if the requirements are satisfied for the given data, we need to check if the sample is a simple random sample, the variable (duration times of drug use) is continuous or approximately continuous, and if the population is normally distributed or the sample size is large enough.
Assuming that the sample is a simple random sample, we can check the other requirements:
Continuity: The variable (duration times of drug use) is continuous.
Normality: We can examine a histogram, a normal probability plot, or conduct a normality test such as the Shapiro-Wilk test. If the data is approximately normally distributed, we can proceed with the t-test. If not, we can use a non-parametric test.
Without the data, we cannot determine if the normality requirement is met. However, if the sample size is large (n > 30), we can use the central limit theorem to assume normality. In that case, we can proceed with the t-test.
Therefore, the requirements for a one-sample t-test are generally satisfied assuming a simple random sample and a large enough sample size. However, we cannot determine if the normality requirement is met without examining the data.
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Which of the following is an example of a quadratic equation?
O A. y = 4x +6
O B. x2 - 64 = 0
O C. X+ 10 = 33
O D. y=1/x2+6
Answers
Answer:
\(x^{2} -64 = 0\\\)
Step-by-step explanation:
According to Wikipedia In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.
PLS HELP ME WITH THIS!!!
Answers
option C is the correct answer. sin β = 15 / 17
How to work itGiven data
Right angled triangle has sides
opposite = 15
adjacent = 8
Hypotenuse = 17
sin β = opposite / hypotenuse
substituting the values gives
sin β = 15 / 17
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