Answers
Answer:
See below and attached Venn Diagram3
Step-by-step explanation:
No need to change Venn diagrams It is perfectly clear
We will represent the different sets of people using letters A and B for convenienceThat total number of people who "Had Drowsiness" is represented by the maroon circle to the left. )Note some of those participants also belong to the category had Nausea)We will represent the set of all people who had drowsiness as A and the number of people in that set as n(A) = 95 (given)Similarly, the total number of people who had nausea is represented by the aquamarine circle to the right. (Note that some of these people also had drowsiness) We will represent the set of all people who had nausea as B and the number of people in that set as n(B) = 77 (given)The number of people who had both drowsiness and nausea is the intersection area of the two i.e. the Venn diagram area in the middle which overlaps both the circles. This is represented as A and B and we are given that this number n(A and B) = 58This is the number that would go into the center box in the Venn DiagramThe number of people who had drowsiness but not nausea is the total number of people who had drowsiness - number of people who had both side effectsThis would be n(A) - n(A and B) = 95 - 58 = 37This would be the number that would go into the box on the leftThis is referred to as set difference denoted by A - B i.e. the set of all elements in a but not in B. So we say n(A-B) = 37Similarly the number of people experiencing nausea but not drowsiness would be set difference B-A and the number of such people would be 77 - 58 = 19This number would go into the box on the rightIf we add up all the boxes we get the total number of people who had drowsiness or nausea or both as n(A or ) = 37 + 58 + 19 = 114You can also arrive at this number by the formula
n(A or B) = n(A) + n(B) - n(A and B)
= 95 + 77 - 58 = 114We subtract n(A and B)= 58 because when
we add n(A) and n(B) we are adding this chunk twice so we need to adjust by removing the duplicate additionIn addition to all these values you will see a box that is outside of any of the circles but inside the circle. This represents the number of people who had no side effects.This number would be 161 - 114 = 47
The completed Venn Diagram is attached for your convenience
Related Questions
Which one is a counter example?
cannot be used to prove or disprove a conjecture
shows that a conjecture is always true
is a proof that is not valid
shows that a conjecture is not always true
Answers
Answer: Shows that conjectured is always true
Step-by-step explanation:
Type < or > to make this statement true -a___-b
Answers
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
Answers
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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10
Use the cards 1-10. Draw cards without replacing.
A.
B.
CÓ Ư
C.
D.
E.
F.
P(6, then 1)
P(even, then 5)
P(8, then odd)
P(3, then prime)
P(prime, composite)
P(even, then 3, then 5)
4
8
2
6
9
3
10
Answers
A. P(6, then 1) = 1/90
B. P(even, then 5) = 1/18
C. P(8, then odd) = 1/18
D. P(3, then prime) = 2/45
E. P(prime, composite) = 4/15
F. P(even, then 3, then 5) = 1/144
Given:
Total number of cards: 10
A. P(6, then 1):
P(6, then 1) = 1/10 x 1/9
= 1/90
B. P(even, then 5):
Number of favorable outcomes: 5 x 1 = 5
P(even, then 5) = 5/10 x 1/9
= 1/18
C. P(8, then odd):
Number of favorable outcomes: 1 x 5 = 5
P(8, then odd) = 1/10 x 5/9
= 1/18
D. P(3, then prime):
Number of favorable outcomes: 1 x 4 = 4
P(3, then prime) = 1/10 x 4/9
= 2/45
E. P(prime, composite):
Number of favorable outcomes: 4 x 6 = 24
P(prime, composite) = 4/10 x 6/9
= 4/15
F. P(even, then 3, then 5):
Number of favorable outcomes: 5 x 1 x 1 = 5
P(even, then 3, then 5) = 5/10 x 1/9 x 1/8
= 1/144
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One number is six more than three times another. If their sum is decreased by four, the result is twenty-two. Find
the numbers.
The smaller of the numbers is
Due Wed 08/10/
and the larger is
Answers
Answer: 5 is the smaller number and 21 is the larger number
Step-by-step explanation: let’s have the smaller of the numbers equal x and the larger one equal y. Y = 3x + 6 their sum is 3x + 6 + x or 4x + 6. This sum minus 4 is 22 so the sum is 26. 26-6 = 4x so 4x = 20 and x = 5 so r = 15+ 6 which is 21.
unit 7 right triangles & trigonometry homework 5: trigonometry : finding sides and angles
Answers
Answer:
1. 7.3
2. 33.3
3. 21.3
4. 31.9
5. 25.6
6. 11.0
7. 42°
8. 64°
9. 13°
10. 51°
Step-by-step explanation:
make sure if you're using a math calculator that it is in degree mode.
SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.
Cos is Adjacent(next to it)/hypotenus.
Tan is Opposite/Adjacent.
~~
PROBLEM 1:
So we have 63°, 16 as hypotenus, and x as one of the legs.
1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)
2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.
3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996
4. Don't forget to round to the nearest tenth, which gives you
x = 7.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 2:
Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.
1. Set it up, Tan 39° = 27/x can't solve this way so fix it.
2. rewritten as X = 27/tan39
3. round ur answer.
x = 33.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 3:
Given: 49°, adj is 14, hyp is x. So this is Cos.
1. Set up according to CAH, Cos 49=(14/x).
We can't solve it this way since the X is on the bottom. So we have to fix it!
2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.
3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)
4. Round.
x= 21.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 4:
Given: 15°, 33 hyp, adj x. Which is Cos.
1. Cos 15= x/33 and rewrite.
2. Input as 33 cos(15 into calculator = 31.875...
3. Round to tenth.
x = 31.9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 5:
Given: 52°, 20 adj of °, and x opp of °. Will use TAN.
1. Tan 52° = x/20
2. 20 Tan(52 into calculator
3. Round
x = 25.6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 6:
Given: 27°, opp of ° is 5, hyp is x. Will use Sin.
1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.
2. Input into calculator as: 5/sin 27 which equals 11.01...
3. Round.
x = 11.0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 7:
Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.
We will be using SIN, x is still a °.
1. Sin X = 4/6 Rewrite.
2. X= Sin^-1 (4/6)
Make sure ur sin is negative in calculator when doing this.
3. It SHOULD give you 41.81, round.
x = 42°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 8:
Given: x°, 29 opp, 14 adj. TAN.
1. Tan x°= 29/14 or..
2. X = Tan^-1(29/14) solve..
3. gives u 64.23.... round.
x = 64°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 9:
Given: x°, hyp 54, opp 12. SIN
1. Sin x°=(12/54)
2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)
3. Don't Forget to round, answer unrounded: 12.839..
x = 13°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 10:
Given: x°, adj 25, hyp 40. COS
1. Cos x°=25/40 rewrite.
2. X= Cos^-1(25/40) Solve.
3. Round.
X= 51°
Rework problem 17 from section 2.1 of your text, involving an experiment with three possible outcomes. For this problem, assume that outcome O1 has frequency 4/a, outcome O2 has frequency 12/a, and outcome O3 has frequency 3/a.
What is the value of a?
Answers
If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19
Frequency of outcome O₁ = 4/a
Frequency of outcome O₂ = 12/a
Frequency of outcome O₃ = 3/a
Let's say 1/a = x
Now, the Frequency of outcome O₁ = 4x
Frequency of outcome O₂ = 12x
Frequency of outcome O₃ = 3x
The sum of the respective frequencies must equal 1.
So, 4x + 12x + 3x = 1
19x = 1
x = 1/19
That means that the “a” in the problem is 19.
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find the coordinates of the points of intersection of the graph y=13-x with the axes. Find the area of the right triangle formed by this line and the coordinate axis
Answers
Answer:
Y(0,13)
X(13,0)
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
Answers
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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write an equation in point-slope form for the line through the given point with the given slope
(10,-9)m is -2
Answers
Answer:
Step-by-step explanation:
Point: 10,-9
k=-2
y=-2x+b
So: 9, -7
8,-5
7,-3
6,-1
5,1
4,3
3,5
2,7
1,9
0,11
y=-2x+11
Answer:
y + 9 = - 2(x - 10)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 2 and (a, b ) = (10, - 9 ) , then
y - (- 9) = - 2(x - 10) , that is
y + 9 = - 2(x - 10)
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
Answers
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.
Answers
The break-even point of the Astronomical Telescope model is 61.6 units.
The given parameters;
fixed cost for rent and utilities = $ 5420variable cost per unit = $217 selling price per unit = $305The break-even point in units is determined from the point at which the total revenue is equal to expenditure.
Revenue = expenditure
\(305 u = 5420 + 217u\\\\305u - 217u = 5420\\\\88u = 5420\\\\u = \frac{5420}{88} \\\\u = 61.6 \ units\)
Thus, the break-even point of the Astronomical Telescope model is 61.6 units.
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Help plz no links will mark best answer
Answers
Answer:
20
Step-by-step explanation:
you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
Answers
The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10
How to find the consistent bus ?To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.
Bus 47:
Median (Q2): 16
Q1: 10
Q3: 22
IQR = Q3 - Q1 = 22 - 10 = 12
Bus 18:
Median (Q2): 12
Q1: 8
Q3: 18
IQR = Q3 - Q1 = 18 - 8 = 10
Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.
Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.
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SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answers
Answer:
What are your last 2 problems m8
Step-by-step explanation:
5 x 4\9 can you tell me the way to get the answer
Answers
Answer:
\(\frac{20}{9}\) as an improper fraction or \(1\frac{2}{9}\) as a mixed number
Step-by-step explanation:
\(5*\frac{4}{9}\\ \\\frac{5}{1}*\frac{4}{9}\\ \\\frac{5*4}{1*9}\\\\\frac{20}{9}\\ \\1\frac{2}{9}\)
How many cubic centimeters are there in 24 cubic meters?
A.40,000 cm³
B.24,000,000 cm³
C.None of these choices are correct.
D.2,400,000 cm³
E.24,000 cm³
Answers
Answer:
C none of the answer is correct 24m³–cm³ is 2400cm³
5
Select the correct answer.
If the domain of the function, f, is restricted to x 20, which function is the inverse off?
f(x) = 91² - 12, 20
O A. q(z) = √2+1
√√2-12
3
OB. h(z)
OC. p(z) = √2-12
c.
9
√2+12
D. g(x)
O D.
Answers
The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9
How to find the inverse of the function?Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function
f(x) = 9x²- 12 for x ≥ 0.
To find the inverse of the function, we proceed as follows.
f(x) = 9x²- 12
Let f(x) = y
So, we have that
y = 9x²- 12
Adding 12 to both sides of the equation, we have that
y + 12 = 9x²- 12 + 12
y + 12 = 9x²
Dividing both sides by 9, we have that
(y + 12)/9 = 9x²/9
(y + 12)/9 = x²
Taking square root of both sides, we have that
√x² = √(y + 12)/9
x = √(y + 12)/9
Now, replacing x with y, we have that
x = √(y + 12)/9
y = √(x + 12)/9
Replacing y with f⁻¹(x), we have that
f⁻¹(x) = √(x + 12)/9
So, the inverse is p(x) = √(x + 12)/9
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Three units to the right of seven is?
Answers
Answer:
10 i think
Step-by-step explanation:
Answer:
Notice that distance is always positive or 0. (-3)
Step-by-step explanation:
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
Answers
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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Match the graph with the related table
Answers
Please help!! 13 points and marked as brainy list!!
Answers
explanation
take each radius and multiply it by 2, then add them all
(2 • 2) + (3 1/4 • 2) + (1 •2)
= 4 + 6 1/2 + 2
= 12 1/2 = 12.5
what is 3/8 times 3/8?
Answers
Answer:
6/8 or sum idrk im just looking for points
Which of the following is a rational number?
Square root of 15, square root of 16, square root of 21, square root of 22
Answers
Answer:
square root of 16
Step-by-step explanation:
4x4=16
Choose the missing step in the given solution to the
inequality -X - 10 > 14 + 2x.
_X
- 10 > 14 + 2x
-3X - 10 > 14
x<-8
0 -3x > 24
0 -3x > 4
0-3x>.
- 4
0 -3x < 24
Answers
Answer:
Step-by-step explanation:
Question no 59
Need solution
Answers
The area of the shaded region is 104 cm²
How to determine the areaFirst, we need to know that the area of a circle is calculated using the formula;
A = πr²
Such that the parameters of the formula are;
A is the area of the circler is the radiusFirst, let us find the area of the small circle
Area = 3.14 × 4²
Find the square value and multiply, we have;
Area = 50.24cm²
Area of the large circle = 3.14 × 7²
Find the square value and multiply
Area = 153. 86cm²
Area of the shaded region = Area of large circle - area of small circle
= 153.86 - 50.24
= 104 cm²
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Which of the following numbers is rational? 05 00 all of the above
Answers
Rational numbers are numbers that can be expressed as the fraction or quotient after dividing 2 integers
Examples of rational numbers:
\(\frac{4}{6},\text{ }\frac{3}{12},\text{ 1.89, 4.6, and 0.23}\)Fill in the boxes to add the expressions.
(5.19+4m)+(4.18+3.95m) = (4m+_)+(5.19+_)=_
Answers
Using common factor method, sum of the given expressions is 17.14m + 9.37
what is common factor ?
In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.
In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.
According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:
(5.19 + 4.18) + (4m + 3.95m)
9.37 + 7.95m
So, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m
Now, we can use the distributive property to factor out a common factor of m from 7.95m:
9.37 + 7.95m = 4m + (5.19 + 7.95)m
We can factor out a common factor of 1 from (5.19 + 7.95)m:
4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m
Adding the coefficients, we get:
4 + 5.19 + 7.95 = 17.14
Therefore, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.
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8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags
Answers
b) 9 bags are $26.91.
$11.96/4 is 2.99
So one bag costs $2.99 and for any rest of number of bags we just multiply that number by 2.99!!
Hope this helps. :)
Answer:
a) $2.99
b) $26.91
Step-by-step explanation:
Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.
Since
$11.96 / 4 = $2.99
One bag costs $2.99
To find the price of 9 bags, just multiply 2.99$ by 9:
$2.99 * 9 = $26.91
Find the missing side of the triangle. pythagorean 4 A. 337‾‾‾‾√ km B. 5‾√ km C. 193‾‾‾‾√ km D. 112‾√ km
Answers
The missing side in the given triangle is x = √193 km
Pythagoras theoremThe Pythagoras theorem is expressed as;
x^2 = a^2 + b^2
where
x is the longest side
Substitute the given side
x^2 = 12^2 + 7^2
x^2 = 144 + 49
x = √193 km
Hence the missing side in the given triangle is x = √193 km
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