In GHI, h = 820 inches, G=102° ahd H=10°. Find the length of g, to the nearest
inch.
Answers
Answer:
4619 inches
Step-by-step explanation:
You want the length of side g in ∆GHI where G=102°, H=10°, and h=820 inches.
Law of sinesThe law of sines tells us ...
g/sin(G) = h/sin(H)
g = h·sin(G)/sin(H) = (820 in)sin(102°)/sin(10°)
g ≈ 4619 in
The length of side g is 4619 inches.
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Related Questions
Pythagorean theorem to determine whether each given triangle is a right triangle 8ft , 17ft , 15ft
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem: a²+b²=c²
a (the shortest side) = 8ft
b (the 'height') = 15ft
c (the longest/ diagonal side) = 17ft
if a²+b²=c² then it is a right angle triangle
8² + 15² = c²
c² = 289
c = √289
c = 17
hence, proven
hope this helps
Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Answers
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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suppose you want to estimate the proportion of students at a large university that approve of the new health care bill. you take an srs of 200 of the 25,000 undergraduate students and an srs of the 100 of the 5,000 graduate students. what type of sampling method was used?
Answers
Stratified Random Sampling method , was used to estimate the proportion of students at major universities who approve of the new health care law.
A simple random sample (SRS) of size n consists of n individuals from a population selected so that each set of individuals has an equal chance of being selected. Simple random samples of 200 out of 25,000 and 100 out of 5,000 graduate students are selected. The sampling method in the given question is stratified random sampling.
Stratified random sampling is a sampling method that involves dividing the population into smaller subgroups known as "strata". In stratified random sampling or stratification, strata are created based on common attributes or characteristics of members, such as income or educational attainment. Proportional Random Sampling is another name of name of Stratified Random Sampling.
When completing an analysis or research on a group of entities with similar characteristics, the researcher may find that the population size is too large to complete the research. To save time and money, the analyst may choose a more feasible approach by selecting a small group from the population. A small group is referred to as a " sample size ", which is a subset of the population used to represent the entire population. A sample can be selected from a population in a number of ways, one of which is the stratified random sampling method.
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Use the distributive property to evaluate 4(2x – 1) when x = 5.
O4
O 39
O 32
O 36
Answers
A. all real number
B. x>0
C. x>2
D. y>0
E. y>-1
F. y>2
Answers
Answer:
domain = E
range = (-&,&)
Step-by-step explanation: solved by graphing calculator
Find the base area of a cone with a volume of 75 cubic inches and a height of 6 inches.
Answers
Answer:
(75/2) in^2, or approximately 37.5 in^2
Step-by-step explanation:
The equation for the volume of a cone of base area b and height h is
V = (1/3)(b)(h).
Let's solve this for b, since b is the unknown here.
Multiplying both sides of this equation by 3, we get:
3V = (b)(h), and so
b = (3V)/h
In this particular case we're given V = 75 in^3 and h = 6 in. Substituting these values into the above formula for b, we get:
3(75 in^3)
b = ------------------- = (75/2) in^2, or approximately 37.5 in^2
6 in
Help Please !!! Math
Answers
a subtotal row must contain at least one ________ function.
Answers
To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.
A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.
A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.
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Can someone help me please
Answers
We want to study the function represented with the given graph.
We will find that the constant of proportionality is r = $12.5
And the equation is:
c = $12.5*p
First, let's define a general proportional relationship.
It is written as:
c = r*p
Where r is the constant of proportionality.
a) Here we just want to get the value of the constant of proportionality, to do this, we just need to find a point on the graph.
By looking at the graph, we can see that 6 pizzas cost $75, then we can replace that in the proportional relationship to get:
$75 = r*6
$75/6 = r = $12.5
Then the proportional relationship is:
c = $12.5*p
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Are you against animal testing? If so, why?
Answers
Answer:
I am against testing on animals.
Step-by-step explanation:
Personally based on my faith humans are told to make the earth their dominion. To dominate doesn't only mean to use to one's advantage but to also take care of and replenish any loss caused by unintentioned damage. Animals do have feelings, both emotional and physical, and though those feelings may not be quite as developed as those of humans, they are undoubtedly existent. With how far technology has come when it comes to predictability and how calculated and concise science experiments have become, if as the most advanced species on earth we are still unable to determine how long a deodorant or lipstick or eyeliner would last without torturing other species, then what exactly have we achieved, and are we truly any more advanced than we were 10000 years ago? And for things that quite necessarily do need testing like vaccines and medicines it is to some extent understandable, but then again if the death sentence still exists for offenders of heinous crimes , why don't we instead of killing those criminals dedicate them to science and research for testing of vaccines and medicines. That way we all benefit from it. They don't have to die and neither do the animals and neither do we. It's a far stretch of a solution but alternatives can be made. Where there's a will there's a way.
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?
Answers
Answer:
B
Step-by-step explanation:
The slope of the linear function for plan B is of $0.17.
---------------------------
A linear function has an equation in the following format:
\(y = mx + b\)
In which
m is the slope, which is the rate of change, measuring how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.---------------------------
Plan B has the same monthly base charge as plan A, that is, from the table, when \(x = 0, y = 14.45\), and thus, (0, 14.45) is one of the points of the function.The monthly charge for 45 minutes is of $22.10, thus, another point is (45, 22.10).Given two points, the slope is given by the change in y divided by the change in x. Thus:\(m = \frac{22.1 - 14.45}{45 - 0} = 0.17\)
The slope is of $0.17.
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please help me find the area
Answers
Answer: 150m
Step-by-step explanation: you first remove 5 from 20 to get what you should multiply for your triangle then you get 15 and multiply it by 12 to get 180 then you divide by 2 since it’s a triangle, to get 90 then you find the area of the rectangle by multipling 5 by 12 to get 60 then 60+90=150
Answer:
150 meters
Step-by-step explain
He formula for a triangle is a=bh/2. it ends up being a=12x15/2=90.
The formula for a rectangle is 12x5=60.
You take both and add them together and you get 150.
So the answer is 150 meters.
50 students each did a mathematics test. the mean score for these 50 students was 8.4. there were 30 boys. the mean score for these bots were 8.25. workout the mean score for the girls.
Answers
[(30 x 8,25) + (20 x n)] / 50 = 8,4
247,5 + 20 x n = 420
n = (420 - 247,5) : 20
n = 8,625
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Answers
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
what is 3 times blank times blank equals 12
Answers
Answer:
3 times 2 times 2
3 times 4 times 1
Step-by-step explanation:
those are the ones off the top of my head hope that helps
What’s the answer?!!!!!!!
Answers
Answer:
no
\( {16}^{2} + {35}^{2} is not equal {41}^{2} \)
The table shows values for points on the graph of a function.
Can the function be represented by a straight line?
A. Yes; the slope of the segment T and U is equal to the slope of the segment between V and W.
B. Yes; the slope of the segment W and T is equal to the slope of the segment between V and W.
C. No; the slope of the segment between U and W and the slope of the segment between T and V are both are negative.
D. No; the slope of the segment between U and V is not equal to the slope of the segment between T and V.
Answers
The answer is (D) No; the function cannot be represented by a straight line.
What is the slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To determine whether the function can be represented by a straight line, we need to check whether the slopes of all the segments between the points are equal.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1) / (x2 - x1)
Using this formula, we can calculate the slopes of the segments:
slope of TU = (1 - 4) / (-2 - (-5)) = 1/3
slope of VW = (-4 - (-2)) / (1 - (-1)) = -1
slope of WT = (-2 - 4) / (1 - (-5)) = -3/2
slope of TV = (-2 - 4) / (-1 - (-5)) = 3/2
slope of UV = (1 - 4) / (-2 - (-5)) = 1/3
From these calculations, we can see that the slopes of the segments TU and UV are equal, and the slopes of segments VW and TV are equal, but the slopes of segments UV and TV are not equal.
Therefore, the answer is (D) No; the function cannot be represented by a straight line.
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Simplify (10 3/4 + 3 1/2) − (8 1/4 + 2 1/4)
Answers
(10 3/4 + 3 1/2) − (8 1/4 + 2 1/4) simplifies to 3 1/2. To simplify (10 3/4 + 3 1/2) − (8 1/4 + 2 1/4), we can start by adding the whole numbers separately and then adding the fractions separately.
10 + 3 − 8 − 2 = 3
3/4 + 1/2 − 1/4 − 1/4 = 1/2
Therefore, (10 3/4 + 3 1/2) − (8 1/4 + 2 1/4) simplifies to 3 1/2.
One way to think about this is by imagining you have a certain number of objects (the whole numbers) plus part of another object (the fractions). If you add and subtract these quantities separately, you can get the total number of objects and their corresponding parts.
In this case, we had 10 whole objects, added 3 more, and subtracted 8 and 2 separately. We ended up with 3 whole objects. For the fractions, we combined 3/4 and 1/2, and subtracted 1/4 and 1/4 separately. This gave us 1/2.
Overall, we can conclude that (10 3/4 + 3 1/2) − (8 1/4 + 2 1/4) is equal to 3 1/2.
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in 1975 the population of lions in Africa was 250,000 in 2015 , the population of lions was 30,000 calculate the percantege decrees in the african lion population between 1975 and 2015
Answers
The percentage decrease in the African lion population between 1975 and 2015 is 88%
To calculate the given problem
The decrease in population is:
250,000 - 30,000 = 220,000
To find the percentage decrease, we divide the decrease by the initial population:
220,000 / 250,000 = 0.88
Finally, we multiply by 100 to get the percentage:
0.88 * 100 = 88%
Therefore, the percentage decrease in the African lion population between 1975 and 2015 was 88%.
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George Garcia wants to purchase a used station wagon. One
used-vehicle guide shows the average retail value of the station
wagon at $13,000. Add $50 for having tinted windows, $100 for
air-conditioning, and $35 for power windows. Deduct $200 for
excessive mileage. What is the average retail price for the
station wagon?
Answers
The averages retail price for the station wagon will be $12985.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that one used-vehicle guide shows the average retail value of the station wagon at $13,000. Add $50 for having tinted windows, $100 for air-conditioning, and $35 for power windows. Deduct $200 for excessive mileage.
The average price will be calculated as,
Price = 13000 + 50 + 100 + 35 - 200
Price = 13185 - 200
Price = $12985
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Hailey has $9 worth of nickels.how many nickels does hailey have?
Answers
Answer:
180
Step-by-step explanation:
The answer is 180 because 20 nickels make a dollar and you do 20x9 and that equals to 180
Answer:
$180 nickels
Step-by-step explanation:
9x 20= 180
help me 2x-4y-3(7x-2y)
Answers
Let's simplify the above expression :
\(2x - 4y - 3(7x - 2y)\)\(2x - 4y - 21x + 6y\)\( - 19x + 2y\)équation : 3x + 4 = 10
(si vous pouvez m'expliquer svp)
Answers
Answer:
x=
Step-by-step explanation:
3x+4=10
3x=10-4
3x=6
X=
Answer: 2
Step-by-step explanation: Soustrayez 4 4 des deux côtés de l'équation. Soustrayez 4 4 de 10 10 . Divisez chaque terme en 3x=6 3 x = 6 par 3 et simplifiez. Divisez chaque terme en 3x=6 3 x = 6 par 3 3.
what is 21uv+8b+3u+56bv?
Answers
Answer:
(1+7v) (3u+8b)
Step-by-step explanation:
Check the coefficents v is common in 21uv and 56bvb is common in 8b and 56bvu is common in 21u and 3uAdd and subtract the second term to the expression and factor by groupingCheck using FOIL: First,Outer,Inner,LastHope this helps!!
The required solution would be (1+7v)(3u+8b) of the given expression.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given the expression as:
⇒ 21uv + 8b + 3u + 56bv
There is v common in 21uv and 56bv
There is b common in 8b and 56bv
There is u common in 21u and 3u
We have to Add and subtract the second term to the expression and factor by grouping, we get
⇒ (1+7v)(3u+8b)
Therefore, the required solution would be (1+7v)(3u+8b) of the given expression.
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A bag contains 15 marbles. Six are red, three are blue, and the rest are green or yellow. If the ratio of green marbles to blue marbles is 2 to 3, what is the ratio of yellow marbles to red marbles?
Question 2 options:
A.3/6
B.4/6
C.4/15
D.6/4
PLS HELP I ONLY HAVE 15 POINTS
Answers
Answer:
4/6
Step-by-step explanation:
6r + 3b = 9
?g/3b
2/3 = 2g/3b
6 + 3 + 2 = 11
15 - 11 = 4
4 yellow marbles : 6 red marbles
4/6
Solve 4(x+2) - 5 = -21
Answers
Answer:
x=−6
Step-by-step explanation:
Answer:
your answer will be -6
Step-by-step explanation:
4x+8-5= -21
8-5=3
4x + 3 = -21
subtract three from both sides
4x= -21
-21 divided by 4
= -6
A wheelchair access ramp has an angle of elevation of 24°. If the ramp reaches to the top of a 30 inch high porch, how long is the ramp?
Answers are either 12.20 inches, 97.38 inches, 73.76 inches, or 32.84 inches.
Answers
To solve this problem, we can use trigonometry. The tangent of the angle of elevation is equal to the opposite side (height of porch) divided by the adjacent side (length of ramp). So.
tan(24°) = 30/x
where x is the length of the ramp.
To solve for x, we can cross-multiply:
x * tan(24°) = 30
x = 30 / tan(24°)
Using a calculator, we get the following:
x = 73.76 inches
Therefore, the length of the ramp is 73.76 inches.
To find the size of the wheelchair ramp, we can use the angle of elevation and trigonometry concept. We know that the angle of elevation is 24°, and the height of the porch is 30 inches.
We can use the sine function to relate the angle, height, and length of the ramp:
sin(angle) = opposite side / hypotenuse
In this case, the opposite side is the height of the porch (30 inches), and the hypotenuse is the length of the ramp (which we want to find).
sin(24°) = 30 inches/length of the ramp
Now, we need to solve for the length of the ramp:
length of ramp = 30 inches / sin(24°)
Using a calculator to find the sine value and divide:
length of ramp ≈ 30 inches / 0.40775 ≈ 73.60 inches
The closest answer from the provided options is 73.76 inches. So, the length of the ramp is approximately 73.76 inches.
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I need help for geometry
Answers
What is the difference between the mean absolute deviation (MAD) for data set A and B?
Data set A 10, 9, 3, 8, 10
Data set B 5, 11, 2, 7, 16
Round your final answer to the nearest tenth.
the awnser choices
2.2
0
14
10
Answers
Answer:
0
Step-by-step explanation:
for A
10+9+3+8+10
=40/5
=8
for B
5+11+2+7+16
=41/5
=8.2
difference between A and B
8.2-8
=0.2
approximately
=0
The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever recorded in the United States was 134 ∘F in Death Valley on July 10, 1913. What was the temperature that day in Celsius, rounded to the nearest degree?
Answers
Answer:
57 °C.
Step-by-step explanation:
The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :
\(C=\dfrac{5}{9}(F-32)\) ...(1)
If T = 134° F, we need to convert the temperature in Celsius.
Put F = 134, in equation (1)
\(C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C\)
So, the temperature on that day is 57 °C.