The answer is to this is B. 0
Find the solutions for a triangle with a =11.4, b =13.7, and c =12.2.
The solutions for the triangle are: ∠A = 51.833...° , ∠B = 70.880...° and ∠C = 57.286...°
Explanation
For finding the unknown angles, we need to use Cosine rule. The formulas are...
[tex]cos A = \frac{b^2+c^2-a^2}{2bc} \\ \\ cos B= \frac{a^2+c^2-b^2}{2ac}\\ \\ cos C= \frac{a^2+b^2-c^2}{2ab}[/tex]
Given that the length of three sides of the triangle as : [tex]a= 11.4, b= 13.7[/tex] and [tex]c=12.2[/tex]
Thus,
[tex]cosA= \frac{(13.7)^2+(12.2)^2 -(11.4)^2}{2(13.7)(12.2)} \\ \\ cosA= \frac{206.57}{334.28} \\ \\ cosA= 0.61795... \\ \\ A= cos^-^1 (0.61795...)= 51.833... degree\\ \\ \\ \\ cos B= \frac{(11.4)^2+(12.2)^2 -(13.7)^2}{2(11.4)(12.2)}\\ \\ cos B= \frac{91.11}{278.16} \\ \\ cos B= 0.3275...\\ \\ B= cos^-^1 (0.3275...)= 70.880... degree \\ \\ \\ \\ cos C= \frac{(11.4)^2+(13.7)^2 -(12.2)^2}{2(11.4)(13.7)}\\ \\ cos C= \frac{168.81}{312.36} \\ \\ cos C= 0.54043...\\ \\ C= cos^-^1 (0.54043...)= 57.286... degree[/tex]
Answer
To simplify the answer above this one, it is
C) A=51.8 B=70.9 C=57.3
Step-by-step explanation:
I got it right on edge
Find the surface area of regular prism with height 6 cm, if the base of the prism is a Regular quadrilateral with side 4 cm.
Find the work done by the force field f in moving an object from a to
b. f(x, y) = 2y3/2 i + 3x y j a(1, 1), b(3, 9)
Work done by a force field in moving an object from a to b is calculated using the line integral of the vector field. For the force field F(x, y) = 2y3/2i + 3xyj and the points a(1, 1) and b(3, 9), we consider a path from a to b, compute the line integral separately for each segment, and sum the results.
Explanation:In physics and vector calculus, the work done by a force field (like the one in your question) in moving an object from a to b is calculated using the line integral of the vector field along the path taken. For your specific question where the force field is given by F(x, y) = 2y3/2i + 3xyj with the object moving from a(1, 1) to b(3, 9), the work done is computed as follows:
Select a path from point a to b. This can be a straight path, but any path from a to b will do. Let's take a simple path, where we move along the x-axis from (1,1) to (3,1), then parallel to the y-axis to (3,9).Calculate the line integral separately for each segment of the path. Since we are dealing with a vector field in two dimensions and two straightforward paths, this is done by integrating the force fields for x and y along each segment.Sum the results to get the total work done by the force field in moving the object from point a to point b.Learn more about Work Done by Force Field here:https://brainly.com/question/29438379
#SPJ11
show me step by step how to convert a repeating decimal 3.152 into a improper fraction or mixed number
Equation of the Graph in Function Notation
What is the answer to the problem i am very confused...
An axiom in Euclidean geometry states that in space, there are at least points that do
An axiom in Euclidean geometry states that in space, there are 2 points that lie on the same line.
This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.
Try this please, it's about arcs and angles and I'm just not sure how to do it. Thanks!
A transformation of a figure that flips a figure across a line
Judy squeezes 140 mm of lemonade to make 1 liter of lemonade how many millimeters of lemon juice are in 2 L of lemonade
Item 14 You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.
Answer:
See attached diagram
Step-by-step explanation:
Let x be the number of times the app is opened and y be your monthly income (in dollars).
If an advertiser pays you $0.005 each time the app is opened, then he pays you $0.005x for all times the app is opened. Since an advertiser pays you $20 per month, then the total income is
y=20+0.005x.
Plot this line on the coordinate plane (see attached diagram).
ASAP
The equation of the linear regression line represents the relationship between the number of cars washed for charity, x, and the amount earned for charity, y. yˆ=10x+20 How much money can the charity expect to earn if 50 cars come in for a wash?
A cake has circumference of 25 1/7inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredth. Enter your answer in the box.
Final answer:
To find the area of a cake given its circumference, calculate the radius and plug it into the area formula A = πr². Finally, round to the nearest hundredth to get the area value.
Explanation:
To find the area of a circle, you use the formula A = πr², where r is the radius of the circle. Given the circumference of the cake is 25 1/7 inches, we can calculate the radius as r = Circumference / (2π) = 25 1/7 / (2 x 22/7) = 25 1/7 / (44/7) = 25 1/7 / 6.2857 ≈ 3.99 inches.
Now, substitute the radius into the area formula: A = 3.14 x (3.99)² ≈ 50.03 square inches. Therefore, the area of the cake is approximately 50.03 square inches.
Which reason explains the congruency of these two triangles?
A)AAA
B)HL
C)SAS
D)SSS
Bianca and Dave are a married couple filing a joint tax return. They have a combined gross income of $81,031 and claim four exemptions. They can make an adjustment of $2,914 for business expenses, an adjustment of $1,939 for business losses, a deduction of $4,140 for medical expenses, an adjustment of $4,825 for contributions to their retirement fund, and a deduction of $2,420 for charitable donations. If exemptions are worth $3,650 apiece and the standard deduction for a joint return is $8,350, what is their total taxable income?
a.
$50,193
b.
$41,843
c.
$48,403
d.
$52,793
Answer:
C
Step-by-step explanation:
Gross income(81,031) - adjustments(9,678) - exemptions(3,650•4 = 14,600) - STANDARD deduction(8,350)
$81,031 - $2,914 - $1,939 - $4,825 - $14,600 - $8350 = $48,403
itemized deductions = $6,560 which is less than the Standard deduction of $8,350, so you would use the Standard deduction
The total taxable income is b. $41,843..
To find Bianca and Dave's taxable income, we'll follow these steps:
Calculate the Total Exemptions:
They have 4 exemptions worth $3,650 each.
Total exemptions = 4 × $3,650 = $14,600.
Calculate Adjustments and Deductions:
Business Expenses: $2,914 Business Losses: $1,939 Medical Expenses: $4,140 Retirement Contributions: $4,825 Charitable Donations: $2,420Total adjustments and deductions = $2,914 + $1,939 + $4,140 + $4,825 + $2,420 = $16,228.
Determine the Standard Deduction:
For married filing jointly, the standard deduction is $8,350.
Calculate Adjusted Gross Income (AGI):
AGI = Combined Gross Income - Adjustments
AGI = $81,031 - (Business Expenses + Business Losses + Retirement Contributions)
AGI = $81,031 - ($2,914 + $1,939 + $4,825) = $81,031 - $9,678 = $71,353.
Calculate Total Deductions:
In this case, we will take the higher of the total adjustments/deductions calculated or the standard deduction.
Total official deductions = max(Total adjustments and deductions, Standard Deduction)
Total deductions = max($16,228, $8,350) = $16,228.
Calculate Taxable Income:
Taxable Income = AGI - Total Deductions - Total Exemptions
Taxable Income = $71,353 - $16,228 - $14,600
Taxable Income = $71,353 - $30,828 = $40,525.
Osman broke the unusually shaped picture window and his parents living room. The figure shows the dimensions of the window. replacement glass cost $8 per square foot, and there will be a $35 installation fee. Find the cost to replace the window to the nearest cent.
Osman can calculate the cost to replace the unusually shaped picture window by determining its area and then using the formula C = (Area of the window × $8) + $35 to find the total cost. The final total should be rounded to the nearest cent. However, without the window's dimensions, an exact cost cannot be calculated.
Explanation:To calculate the cost to replace the unusually shaped picture window in Osman's parents' living room, we must first determine the area of the window to find out how many square feet of glass are needed. Once we have the area, we can multiply by the cost per square foot and add the installation fee. Unfortunately, the question does not provide the necessary dimensions of the window, so we cannot proceed with the exact calculations. However, I will provide a general formula that Osman could use to calculate the replacement cost.
Let's assume that the dimensions of the window are provided and that we have managed to calculate the area, A, in square feet. The cost of the replacement glass will then be A × $8. After calculating this, Osman would need to add the installation fee, which is $35. So the total cost to replace the window, C, would be calculated using the formula:
C = (A × $8) + $35
Once Osman replaces the window, if the total calculated cost is not a whole number, he should round it to the nearest cent.
hey can you please help me posted picture of question
Experts/ace/geniuses helppp
The mean of a normal distribution is 12.3 with the standard deviation is 1.7. find the 73th percentile
Carlos read 4 books. How many children read fewer books. Than carlos?
Where the above pictogram is given, note that the number of children who read fewer books than Carlos are two in number. Namely:
Gwen - Two booksHenry - Four books.To derive the number of children who read fewer books than Carlos, we only need to count the number of people whose books are less than four.
Using the picture graph key, we know that:
Ryan read 4 books
Gwen = 2
Anna = 6
Henry = 3
Since 2 and 3 are less than 4 which was read by Carlos, then the number of children who read fewer books than Carlos are two in number.
Full Question:
Although part of your question is missing, you might be referring to this full question:
Read Picture Graphs
Use the picture graph above. Write or draw to explain.
4. Carlos read 4 books. How many children read fewer books than Carlos?
_ children ?
Keiko cut away 2.57 meters of rope. Before that, she had 4 meters of rope. How much rope does Keiko have left?
Keiko has 1.43 meters of rope left after cutting away 2.57 meters from her 4-meter rope. This is found by subtracting the length of rope she cut away from the initial length of the rope.
Explanation:The question asks how much rope Keiko has left after cutting away 2.57 meters from a 4 meter rope. To find the answer, we can perform a simple subtraction operation: 4 meters (initial length of rope) - 2.57 meters (length of rope cut away). The result of this calculation should give us the length of rope that Keiko has left.
So, let's perform the calculation:
4 meters - 2.57 meters = 1.43 meters
Therefore, Keiko has 1.43 meters of rope left after cutting away 2.57 meters from her 4 meter rope.
Learn more about Subtractionhttps://brainly.com/question/10101234
#SPJ2
The lengths of the base of a trapezoid is 12ft and 5ft the height is 96 in what is the area of the trapezoid
Answer:
the area is 816
Step-by-step explanation:
Step-by-step
12 + 5 = 17
17 / 2 = 8.5
8.5 * 96 = 816
the area is 816
hey can you please help me posted picture of question
what is .44 of 1 please help me stat
A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm. Which expression represents the volume of the pyramid? cm3 cm3 cm3 cm3
we know that
the volume of a solid oblique pyramid is equal to
[tex]V=\frac{1}{3}*B*h[/tex]
where
B is the area of the base
h is the height of the pyramid
in this problem we have that
B is a square
[tex]B=b^{2}[/tex]
where
[tex]b=x\ cm[/tex]
so
[tex]B=x^{2}\ cm^{2}[/tex]
[tex]h=(x+2)\ cm[/tex]
substitute in the formula of volume
[tex]V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}[/tex]
therefore
the answer is
[tex]V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}[/tex]
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
Solve the problem by applying the fundamental counting principle. an apartment complex offers apartments with four different options, designated by a through
d. aequalsnumber of bedrooms (one through four) bequalsnumber of bathrooms (one through three) cequalsfloor (first through fifth) dequalsoutdoor additions (balcony or no balcony) how many apartment options are available?
We have been given that an apartment complex offers apartments with four different options, designated by a through d.
From the given directions we have
4 choices are for a3 choices are for b5 choices are for c2 choices are for dTherefore, from the fundamental theorem of counting principle number of available apartments are
[tex]4\times 3\times 5\times 2 =120[/tex]
Hence, 120 apartments options are available.
Yasmin purchased 6 heads of cabbage that each weighed pounds. How much did the cabbage weigh all together?
Answer:
its B i think
Step-by-step explanation:
yall needa just say the answer not explain like.smh
The ratio of the number of peas Julia had to the number of peas Vlada had was 3:2. After Julia gave Vlada 15 peas, she still had 10 more peas than Vlada. How many peas did Julia have at first?
PLEASE Help!! What is the solution of the equation? Eliminate any extraneous solutions.