Use the Law of Sines to find the indicated side x."(Assume c = 23.2. Round your answer to one decimal place.)
Answers
ANSWER
x = 21.6
EXPLANATION
We have that:
c = 23.2
To be able to solve this, we must first find angle
The sum of angles in a triangle is 180 degrees.
This means that:
=> 52 + 70 + 122+ =>
Sine Law says that the ratio of angle and side opposite the angle for any triangle equal.
This means that:
[tex]\frac{\sin A}{a}\text{ = }\frac{\sin B}{b}=\text{ }\frac{\sin C}{c}[/tex]So, we can say that:
[tex]\begin{gathered} \frac{\sin52}{x}=\text{ }\frac{\sin58}{23.2} \\ \text{Cross}-\text{multiply:} \\ 23.2\cdot\text{ sin52 = x }\cdot\text{sin58} \\ \Rightarrow\text{ x = }\frac{23.2\cdot\text{ sin52}}{\sin58} \\ x\text{ = }21.6 \end{gathered}[/tex]That is the value of x.
Related Questions
Does this work show that 8 is a solution to the equation s-3=11 and how?
Answers
Given -
s - 3 = 11
To Find -
Is s = 8 a solution or not?
Step-by-Step Explanation -
on Putting s = 8 in the above equation
8 - 3 = 11
5 = 11
Which is not true as 5 ≠ 11
Final Answer -
Option (D)
No, Because the last line of the work is not true. 5 and 11 are not equal
=MATHEMATICAL READINESSSummation of indexed dataThe following is a list of 14 measurements.38. -82. 19. 84. -37.93.-31, -73, -50.-65.-31. -85, -48Suppose that these 14 measurements are respectively laSum of Xi/ 50 with i going from 1 to 14Round your answer to at least two decimal places.
Answers
In order to calculate the sum we need to iterate over the "xi" variable going from 1 to 14 and adding all the data.
[tex]\begin{gathered} \sum ^{\infty}_{n\mathop=1}\frac{x_i}{50}\text{ = }\frac{38\text{ - 82}+19+84-37.93-31-73-50-65-31-85-48}{50} \\ \sum ^{\infty}_{n\mathop{=}1}\frac{x_i}{50}\text{ = }\frac{-361.93}{50}\text{ = -7}.2386 \end{gathered}[/tex]The answer is approximately -7.24.
HELPPPPPPPPPPDIDEOEOEKEKMEMENDNDNDNDND
Answers
2. No
3. No
4. Yes
6. A grocery store sells bags of oranges in two different sizes.
The 3-pound bags of oranges cost $4.
The 8-pound bags of oranges for $9.
Which oranges cost less per pound? Explain or show your reasoning.
(From Unit 2, Lesson 10.).
Answers
Explanation:
4/3= 1.33 pounds per bag
9/8 = 1.125 pounds per bag
6 3 2 1 -6 -5 4 22 10 2 3 6 13 What kind of transformation does the graph show? A) flip B) rotation 9 slide D) translation
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Student did not provided any picture and became unresponsive.
3z - 8xyz + 4x^2y^2z please solve this
Answers
Answer:
z(3-8xy+4x^2y^2)
Whats 5 and 6/4 ×8 and 9/6
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Given that 5 6/4 x 8 9/6
Firstly, we need to convert the mixed fraction into improper fractions
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What is the value of q − 8 if q = −18?
A. 26
B. -26
C. 10
D. -10
Answers
Answer:
-26
Step-by-step explanation:
Q = -18
-18 - 8
-26
Hope this helps! :)
Let f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points
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what is the volume of the object in cubic centimeters? i think its 20, but i just want to double check to see if im right.
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Given,
The measure of edge of the cube is 4 cm.
The total number of cubes are 5.
Required
The volume of the soid.
The volume of the solid is calculated as,
[tex]volume\text{ = side}\times side\times side[/tex]Substituting the values then,
[tex]\begin{gathered} Volume\text{ =4}\times4\times4 \\ =64\text{ cm}^3 \end{gathered}[/tex]The volume of the solid is,
[tex]\begin{gathered} Volume=5\times64 \\ =320\text{ cm}^3 \end{gathered}[/tex]Hence, the volume of the solid is 320 cm^3.
going to send u a pic of the q
Answers
we have the phrase
fifteen occupant or less
[tex]\begin{gathered} n\leq15 \\ n\ge0 \end{gathered}[/tex]Remember that the occupants can not be negative numbers
so
n=0,1,2,3,.....,15we have
seventy stadiums or more
the algebraic expression is
[tex]n\ge70[/tex]so
n=70,71,72,73,...
option Abecause the number of stadiums must be a whole number be aHow many pounds of N are in 2 tons of manure (4.8% N)?
Answers
Answer: 192 lbs
Total weight of manure = 2 tons
Step1: we need to converts tons to pounds
1 ton = 2000 lb
2 tons = x lb
Cross multiply
2 x 2000 = 1 * x
x = 2 x 2000
x = 4000 lbs
Therefore, 2 ton of manure = 4000 lbs of manure
We have 4.8% of N in the manure
Pounds of N = 4.8/100 x 4000
Pounds of N = 0.048 x 4000
Pounds of N = 192 lbs
The pounds of N in 2 tons of manure is 192 lbs
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current rent. Let r represent Cody's current rent. Set up an equation and solve it to fibd the value of r.
Answers
Given :
Cody's rent is increasing by $51 per month starting next year.
That is an increase of 15% from his current rent.
Let the current rent = r
so, the increase = 15% of r = 0.15r
So, the equation that represent the situation is :
[tex]0.15\cdot r=51[/tex]Solve for r :
[tex]r=\frac{51}{0.15}=340[/tex]So, the current rent = $340
The rent for the next year = 340 + 51 = $391
Explain how to undo pemdas with this equation and find answer
Answers
Given that Sarah spent half of her weekly allowance.
She earns $4.70 for washing dogs.
The final amount is $ 13.50.
Let x be the weekly allowance.
She spent half of her allowance so she has half of the allowance.
[tex]\frac{x}{2}[/tex]She earns $ 4.70, add this to her half of the allowance.
[tex]\frac{x}{2}+4.70[/tex]This is equal to 13.50.
[tex]\frac{x}{2}+4.70=13.50[/tex]Subtracting 4.70 from both sides, we get
[tex]\frac{x}{2}+4.70-4.70=13.50-4.70[/tex][tex]\frac{x}{2}=8.80[/tex]Multiplying 2 on both sides, we get
[tex]\frac{x}{2}\times2=8.80\times2[/tex][tex]x=17.60[/tex]Hence Sarah's weekly allowance is $ 17.60.
Write the equation of the function shown below. Identify domain and range.
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The function can be split in 2 straight lines: the first one from x = 2 to the left, and the other one from the same point to the right.
Now, a straight line equation is of the form
[tex]ax+m[/tex]Where a is the slope and m is the y-intercept.
"Left" line:
- m (y-intercept):
To find it we need to see where the line cross (intercepts) the y-axis. From the figure we can see that m = -2.
- a (slope):
To calculate the slope, we can use the following equation:
[tex]a=\frac{\Delta y}{\Delta x}[/tex]Where, chossing 2 points in the line, we have:
[tex]\begin{gathered} \Delta y=how\text{ much do we move up or down between the 2 points} \\ \Delta x=\text{ how much do we move to the right betw}en\text{ the 2 points} \end{gathered}[/tex]Look that for x we have to move to the right. Let's see a drawing:
In our case, we can take the points (0, -2) and (2, 4), so, we have:
[tex]a=\frac{\Delta y}{\Delta x}=\frac{4-(-2)}{2-0}=\frac{6}{2}=3[/tex]So, we have the equation for the "left" line:
[tex]3x-2[/tex]-"Right" line:
- m (y-intercept):
In this case we can not see where the line cross (intercepts) the y-axis. Let's leave this for latter.
- a (slope):
As we did before, we can pick to points on the line, like (3, 1) and (2, 4).
[tex]a=\frac{\Delta y}{\Delta x}=\frac{1-4}{3-2}=\frac{-3}{1}=-3[/tex]- m (y-intercept) continues:
We now know that the equation for this line is:
[tex]-3x+m[/tex]To find m, we can pick one single point and solve for that variable. For example, taking the point (2,4), we have:
[tex]\begin{gathered} y=ax+m \\ y=-3x+m \\ 4=-3\cdot(2)+m \\ 4=-6+m \\ 4+6=m \\ 10=m \end{gathered}[/tex]And so, for the right line, we have:
[tex]-3x+10[/tex]Finally, the equation of the function can be written as:
[tex]f(x)=\begin{cases}3x-2\text{ if x }\leq\text{ 2} \\ -3x+10\text{ if x }\ge\text{ 2}\end{cases}[/tex]Now, the domain of the function is the set of points (or numbers) for which the function has values. The set of departure. In this case, all the numbers can be "trasnformed" or mapped with this function, so the domain is all the numbers, the set of real numbers, R:
[tex]\begin{gathered} -\inftyLastly, the range of the function is the complete set of all possible resulting values after aplying the function. We can see that the function can takes, as maximum, a value of 4, then the range is:[tex]\begin{gathered} (\infty;\text{ 4}\rbrack \\ or \\ y\leq4 \end{gathered}[/tex]Triangle ABC is shown in this figure. 2 A B Which statement justifies that the sum of Angle 1 and Angle 2 is 180°? O All adjacent angles are supplementary. O Adjacent angles that form a linear pair are supplementary. O The sum of any interior and any exterior angle of a triangle is 180° 0 Each pair of interior and exterior angles that lie on a line is complementary
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The answer is Adjacent angles that form a linear pair are supplementary.
5. Write the division problem as a
multiplication equation with a
missing factor. The find the quotient.
2.1 /0.7
Answers
The quotient in this division problem is 3,4.
What is division problem?
There are three main parts to a division problem that are -the dividend, the divisor, and the quotient. The dividend is the number that will be the divided. The division is the number of (people )that the the number is being divided by among And The quotient is the answer.
a division is a process of a splitting a specific of amount into the equal parts.
Sol-
The formula is -
a/b=?
b×?=a
We can write a division statement as a multiplication statment
12/4=3
4×3=12
Thus
The quotients in this division problem are 3 and 4.
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1/6 of a number r decreased by 24 what is the algebraic expression
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A local Pet Shelter has 4 orange cats and 7 black cats. What is probability of selecting a black cat? Please enter your answer as a fraction.
Answers
The Solution:
Given:
We are asked to find the probability of selecting a black cat.
By formula,
[tex]Probability=\frac{number\text{ of required outcomes}}{total\text{ possible outcomes}}[/tex]Thus,
[tex]P(B)=\frac{number\text{ of black cats}}{total\text{ number of cats}}=\frac{7}{11}[/tex]Therefore, the correct answer is 7/11
There are eight turtles 15 fish and 17 pelicans what percent of the animals are pelicans
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The number of animals are given as;
[tex]\begin{gathered} \text{Turtles}=8 \\ \text{Fish}=15 \\ \text{Pelicans}=17 \\ \text{Total animals}=40 \end{gathered}[/tex]The percentage that are pelicans would be calculated as follows;
[tex]\begin{gathered} \text{Percentage Pelicans}=\frac{17}{40}\times\frac{100}{1} \\ \text{Percentage Pelicans}=\frac{1700}{40} \\ P\text{ercentage Pelicans}=42.5\text{ } \end{gathered}[/tex]ANSWER:
The percentage of the animals that are Pelicans is 42.5%
The first aircraft has 65 more seats than the second aircraft. The third aircraft has 41 fewer seat than the second aircraft. If their total number of seats is 402, find the number of seats for each aircraft.
Answers
Solution:
Let A be the first aircraft
Let B be the second aircraft
Let C be the third aircraft
Here is the information that is given in the question:
The first aircraft has 65 more seats than the second aircraft:
A = B + 65
The third aircraft has 41 fewer seats than the second aircraft
C = B - 41
their total number of seats is 402
A + B + C = 402
Now substitute the values in the 1st and 2nd equations into the 3rd.
(B+65) + B + (B-41) = 402
this is equivalent to:
3B + (65-41) = 402
this is equivalent to:
3B + 24 = 402
this is equivalent to:
3B = 402 - 24 = 378
solving for B, we get:
[tex]B\text{ = }\frac{378}{3}=126[/tex]We can conclude that the correct answer is:
first aircraft A:
A = B + 65 = 126 + 65 = 191
that is:
A = 191
second aircraft:
B = 126
third aircraft:
C = B - 41 = 126 - 41 = 85
that is:
C = 85
a cooler at picnic contain
Answers
we know that
the total cans are 100
number of cans of root beer=24
number of cans of orange soda=12
number of cans of cola=16
therefore
the probability is equal to
P=(24+12+16)/100
P=52/100
P=0.52 or P=52%
as fraction is 52/100=26/50=13/25
answer is 13/25Help! Help! 9261 divided by 57
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162.4736842 is 9261 divided by 57
1. Brian's math test scorés: 86, 90, 93, 85, 79, 92, 20, 84Mean:Median:
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Answer:
[tex]\begin{gathered} \text{ Mean=78.625} \\ \text{Median}=84 \end{gathered}[/tex]Step-by-step explanation:
The mean is the sum of all the values in a set of data, divided by the number of values on the list.
Hence, the mean of Brian's math test scores:
[tex]\begin{gathered} \text{ Mean= }\frac{86+90+93+85+79+92+20+84}{8} \\ \text{ Mean=}\frac{629}{8} \\ \text{ Mean=78.625} \end{gathered}[/tex]The median is the middle number in a sorted, ascending or descending, list of numbers:
Arrange the data set from smallest to largest, if the number of data set is even, the median is the average of the two middle data points in the list.
[tex]20,79,84,82,86,90,92,93[/tex]Hence, the median is the average of 82 and 86:
[tex]\begin{gathered} \text{Median}=\frac{82+86}{2} \\ \text{Median}=84 \end{gathered}[/tex]HELP ASP show your work!!
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The minimum number of friends for which Jump it Up is 7
A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).
Sky high pricing:
$50 for <=10 people and $5 per person after that
Jump it Up pricing:
Set up charges = $70
Per person charges = $2
Let p be the number of people
Formulating the equation we get:
50 + 5p = 70 + 2p
3p = 20
p = 6.66
or p =7
So, Jump it up will be less expensive for 7 friends
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Between which steps does Morgan use the subtraction property of equality to justify her work?
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Morgan uses the subtraction property of equality in step 5.
What is the subtraction property of equality?The subtraction property of equality describes the balancing of an equation by subtracting the same value on both sides of the equality.
There is also the addition property of equality which states adding the same number to both sides of the equality also balances an equation.
Given Morgan's work Step 1 - 6(x+5) = 25.
Step 2 - 6(x) + 6(5) = 25 . (Distributive property).
Step 3 - 6x + 30 = 25.
Step 4 - 6x + 30 - 30 = 25 - 30 (Subtraction property of equality)
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The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?
Answers
Answer:
120 square inches
Step-by-step explanation:
L = 36 feet
W = 30 feet
Scale:
l = 12 inches (1 foot)
w = 10 inches because 30/36 = 10/12..
10x12 inches = 120 square inches
david borrowed $4 from his mother each of the last tree months how much money does he owe his mother?
Answers
Answer:
12$
Step-by-step explanation:
He borrowed 4$ for three months.
4 x 3 = 12.
Answer = 12.
Hope this helps!
(Brainliest would mean a lot to me, thanks!)
Calculate the population growth rate for Brazil:
r = (CBR + Immi) - (CDR + Emigr)
CBR = 2.6%, Immi = 2%, CDR = 2.3%,
Emig = 2%
(Portions of the numeric data are factual.)
Answers
0.3% is the population growth rate for Brazil.
How to find the population growth rate?CBR = 2.6%
Immi = 2%
CDR = 2.3%
Emig = 2%
Solution:
r = (CBR + Immi) - (CDR + Emigr)
r = (2.6 + 2) - (2.3 + 2)
r = 4.6 - 4.3
r = 0.3%
0.3% is the population growth rate for Brazil.
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Which represents the equation 6x+3y= 12 whO y=-2x+4O y = 2x+4Oy=-2x-4O y=2x-4
Answers
Given the equation:
6x + 3y = 12
We need to solve for y. Dividing by 3:
2x + y = 4
Subtracting 2x:
y = -2x + 4
First choice