The equivalent measure of the angle when converted from radians to degrees is 128.57 degrees
How can the angle be converted from radians to degrees?From the question, we have the following parameters that can be used in our computation:
Angle = \large \frac{5\pi}{7}radians to degrees.
This angle can be properly expressed
So, we have the following representation
Angle = 5π/7 radians
Also, the angle can be further expressed
So, we have the following representation
Angle = 5/7 π radians
As a general rule of angle conversion, we have
π radians = 180 degrees
Substitute the known values in the above equation, so, we have the following representation
Angle = 5/7 * 180 degrees
Evaluate the products
Angle = 128.57 degrees
Hence, the measure of the angle in degrees is 128.57 degrees
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Answer the angle when converted from radians to degrees is 128.57 degrees
Angle = 5π/7 radians
Angle = 5/7 π radians
π radians = 180 degrees
Angle = 5/7 * 180 degrees
Evaluate the products
Angle = 128.57 degrees
I need help fast with this question.Thank you
The proportion is 135 : 5 : : A : 8 and the value of A is 216 minutes
The time required for Erica to cook her 8 pound roast is 216 minutes
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the time required by Erica to roast 8 pound be = A
Now , the equation will be
Total amount of roast = 5 pound
The time required for Erica to roast 5 pound = 135 minutes
So , the proportion will be
Time required for Erica to roast 5 pound : 5 = Time required by Erica to roast 8 pound : 8
Substituting the values in the equation , we get
135 / 5 = A / 8
Multiply by 8 on both sides of the equation , we get
The value of A = ( 135 x 8 ) / 5
The value of A = 27 x 8
The value of A = 216 minutes
Therefore , the value of A is 216 minutes
Hence , The proportion is 135 : 5 : : A : 8 and the value of A is 216 minutes
The time required for Erica to cook her 8 pound roast is 216 minutes
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4. The monthly cost of Jazmine's cell phone plan is graphed on the grid below. Her friend Kiara selected a
plan that charges $0.25 per text, with no monthly fee, because she only uses her phone for texting.
Cost in Dollars
30
25
20
15
10
5
0 10 20 30 40 50 60 70 80 90 100
An equation to represent the monthly cost of Kiara's plan for any number of text messages she sent is c = 0.25x.
What is an equation?An equation is a mathematical statement proving that two or more mathematical expressions are equivalent or equal.
Equations are represented using the equation symbol (=).
Let the monthly cost of Kiara's plan = c
The unit cost per text = $0.25
The number of text messages sent per month = x
Thus, equation c = 0.25x represents Kiara's monthly cell phone cost.
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Question Completion:Write an equation to represent the monthly cost of Kiara's plan for any number of texts.
which volume is greater? 7cm or 7cmX4cmX8cm
Please Write How
On solving the provide question, we got to know that volume of cube is [tex]343 cm^3[/tex] and volume of cuboid is [tex]224 cm^3[/tex], so volume cube is greater.
What is cuboid?We are aware that a rectangle has four corners and is a two-dimensional form. Think of the form as a collection of parallel rectangles. The resultant form is known as a cube. Take a look at the following three-dimensional cube. Height, Width, and Length
The volume of the cube = [tex]a^3[/tex]
Where a is the length of the side = 7cm
volume of cube = [tex]7 X 7 X 7= 343 cm^3[/tex]
volume of the cuboid = l*b*h
[tex]7 X 8 x 4 = 224 cm^3[/tex]
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Which derivation rule justifies the following argument? If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8. O double negation O simplification De Morgan's Laws O modus ponens O modus tollens
If n is a multiple of 8, then n is even, according to commutativity. However, n is not an even number. As a result, n is not a multiple of 8.
Commutativity is a mathematical term that explains sums that can be shifted about and still produce the same solution.
'Commutative' is derived from the term 'commute,' which means to move and go around; thus, commutative equations feature integers that can be moved within the equation.
In mathematics, commutative law is one of two laws relating to number operations of addition and multiplication that are symbolically written as
a + b = b + a and ab = ba.
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John, Sally and Jane form a partnership. The partnership earns a $70,000 profit. Partners share profits by previous year’s capital balance. Capital balances were $100,000 for John, $75,000 for Sally and $225,000 for Jane. Jane’s share of this year’s profit is:
Multiple Choice
$17,500
$13,125
$39,375
$35,000
Jane's share in the profit as per the amount invested by her is $39,375.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that Capital balances were $100,000 for John, $75,000 for Sally and $225,000 for Jane. Therefore, the ratio of the capital invested by three can be written as,
John : Sally : Jane = $100,000 : $75,000 : $225,000
John : Sally : Jane = 4 : 3 : 9
Now, the profit will be shared as per the capital invested, therefore, as per the capital invested. Thus, we can write,
4x + 3x + 9x = $70,000
16x = $70,000
x = $70,000 / 16
x = $4,375
Further, Jane's share can be written as,
Jane's share = 9x
= 9 × $4,375
= $39,375
Hence, Jane's share is $39,375.
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−7x − 2y = −13
x − 2y = 11
Put the steps in order that are used to solve the following systems of equations by substitution.
The solutions of the systems of equations are x = 3 and y = − 4.
Solving the systems of equations by substitution:The substitution technique is a quick and easy way to algebraically solve a set of linear equations and determine the variables' solutions.
This method entails determining the value of the x-variable in terms of the y-variable from the first equation and then replacing the value of the x-variable in the second equation.
Here we have
−7x − 2y = −13 ----- (1)
x − 2y = 11 ----- (2)
Do (2) - (1)
=> −7x − 2y − (x − 2y) = −13 − 11
=> −7x − 2y − x + 2y = − 24
=> −8x = − 24
=> 8x = 24
=> x = 3
Now substitute x = 3 in (2)
=> 3 − 2y = 11
=> − 2y = 8
=> y = − 4
Therefore,
The solutions of the systems of equations are x = 3 and y = − 4.
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Answer:
The steps are listed below.
What is Y=2000(1.25)^12
Answer:
y+29103.83045673370361328125
bonus question: the output variable of interest from a simulation model will be a variable. group of answer choices random independent discrete realistic
The output variable of interest from a simulation model will be a Discrete variable
Discrete variables can be counted in a finite amount of time. You can count the change in your pocket, for example.
You have access to the funds in your bank account. You could also count the money in each person's bank account. It may take you a while to count that last item, but the point is that it is still countable or number of students present. The quantity of red marbles in a jar.
According to the question,
The output variable of interest from a simulation model will be a discrete variable.
As output variable will take a counted value.
Hence , option (c) discrete is correct
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Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS.
Answer:
Mark the sides BC and DF as congruent---------------------------------------------------
We are given a side and an adjacent angle and need to identify the missing side or angle for proof by SAS.
SAS is side-angle-side and requires two sides and the included angle to be congruent on both triangles.
The missing bit is the other side of the marked angle B and D:
sides BC or DF.Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%. How much money did she invest? The answer is supposed to be $2200 but I don't know how to set up the equation and solve it. Please help.
The amount of the investment at a rate of 7% for 6 months will be $2200.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Harriett Weiss procured $77 in straightforward premium in a half year at a yearly loan fee of 7%.
Then the amount of the investment is given as,
$77 = [P x 7 x (6/12)]/100
$7700 = P x 7 x 1/2
7P = $15400
P = $2200
The amount of the investment at a rate of 7% for 6 months will be $2200.
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Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour. If it takes approximately ten minutes to serve each customer, find the mean use at least four digits after the decimal if rounding...)
and variance of the total service time for customers arriving during a 1-hour period. (Assume that a sufficient number of servers are available so that no customer must wait for service.) (use at least four digits after the decimal if rounding...) What is the probability that the total service time will exceed 2.5 hours? (use at least four digits after the decimal if rounding...)
The answer of this question is found to be 0.0012.
The mean total service time is 10 minutes times lambda (the average number to turn up during the hour)
Lambda is 7, since the average rate is 7 per hour and your time window is 1 hour.
mean service time = 7 × 10 = 70 minutes.
For a poisson process, lambda is both the mean and variance of the arrivals.
So the variance = 10² × lambda = 700, since we want the variance of the service time, rather than the variance of the arrival rate.
This is because:
σ(aX) = a × σ(X).
and σ = sqrt(variance)
σ(service time) = 10 σ(arrival time)
variance(service time) = (10 × σ(arrival time))²
variance(service time) = 100 × variance(arrival time) = 100 × lambda = 100 × 7
mean(servicetime) = 70
variance(servicetime) = 700
2.5 hour = 150 min
Z = [tex]\frac{(S - 70)}{\sqrt{700} }[/tex] follow N(0,1)
P(S > 150) = P( [tex]\frac{(S - 70)}{\sqrt{700} }[/tex]> [tex]\frac{(150 - 70)}{\sqrt{700} }[/tex])
=P(Z > -2.5512)
=0.0012
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At the local bunny-hop, Mr. Meyering jumps 20 inches on his first jump and then 10 inches with his second jump. If the distances form a geometric sequence, what is the total distance Mr. Meyering jumps if he completes infinitely many jumps?
Hint: Use S= a1/1- r and remember that |r| must be less than 1.
Using sum of infinite series in a geometric progression, the total number of jumps is 40 inches
What is Geometric ProgressionA geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term.
The jumps are infinite and to find the total distance, we can use the equation given;
S = a(1 / 1 - r)
a = first termr = common ratioThe first term (a) = 20 in
The common ratio = 10 / 20 = 1/2 = 0.5
Substituting the values into the equation;
S = 20(1 / 1 - 0.5)
S = 20(1 / 0.5)
S = 20 * 2
S = 40 in
The total distance is 40 inches
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HELPPPP!!! 30 POINTS!!!!
Which of the following correlation coefficients would represent the strongest correlation?
A. -0.9
B. 0.04
C. -0.16
D. .78
Answer:
D
Step-by-step explanation:
i did this before trust me
10. Noel is doing some back to school shopping and there are sales EVERYWHERE. a. First she finds a pair of earrings for 15% off and saves $3. What was the original cost of the earrings?
I
By using the concept of discount, it can be calculated that
a) Original cost of earrings is $20
b) Discount = $30
c) 30% discount has been given.
What is discount?
Discount is the price that is reduced from the original price of an article to sell that article at a cheaper cost during a sale.
a) Let the original cost of earrings be $x
Rate of discount = 15%
Discount given = $ [tex]\frac{15}{100}\times x[/tex] = $[tex]\frac{3x}{20}[/tex]
By the problem,
[tex]\frac{3x}{20} = 3\\x = \frac{3 \times 20}{3}\\[/tex]
x = $20
Original cost of earrings is $20
b) Cost of mom jeans = $50
Rate of discount = 60%
Discount = [tex]\frac{60}{100}\times 50 =[/tex] $30
c) Cost of Vintage rock t-shirt = $40
Let the percentage discount be x%
Discount = [tex]\frac{x}{100} \times 40[/tex]
By the problem,
[tex]\frac{x}{100}\times 40 = 12\\x = \frac{12 \times 100}{40}\\[/tex]
x = 30%
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Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.
Answer:
Step-by-step explanation:
Which values are solutions to the inequality?
5r≤6r−8
Select each correct answer.
Responses
r = 7
r = 8
r = 9
r = 10
Answer:
r=8, r=9, r=10
Step-by-step explanation:
5(7)≤6(7)-8
35≤42-8
35≤34
not true.
5(8)≤6(8)-8
40≤48-8
40≤40
true.
5(9)≤6(9)-8
45≤54-8
45≤46
true.
5(10)≤6(10)-8
50≤60-8
50≤52
true.
have a great day!
5. Eight less than 7 times a number is the same as 4 more than 3 times the number. Find the number.
Answer: x = 3
Step-by-step explanation:
A plane is flying on a bearing 10 degrees east of south at 460 mph. A tail wind is blowing in the direction 20 degrees west of south at 80 mph. Express the actual velocity of the plane as a vector. Determine the actual speed and direction of the plane.
the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.
Actual velocity vector = 380 mph [14.6° east of south]
Actual speed = 380 mph
Actual direction = 14.6° east of south
The actual velocity of the plane can be determined by subtracting the velocity of the tail wind (80 mph) from the initial velocity of the plane (460 mph). This gives us a result of 380 mph. To calculate the direction of the actual velocity, we need to subtract the direction of the tail wind (20 degrees west of south) from the direction of the initial velocity of the plane (10 degrees east of south). This gives us a result of 14.6° east of south. Therefore, the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.
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In 2014, the population of coyotes in a certain county was 611. By 2018 the
population had grown to 1,023. Assume the population is changing linearly. What is
the average population growth per year?
Answer:
103
Step-by-step explanation:
2018-2014=4
1023-611=412
4x=412
x=103
the director of a baseball camp estimates that 100 students will enroll if the tuition is $250. for each $20 increase in tuition, eight fewer students will enroll. determine a linear function that will predict the number of students (y) who will enroll at a given tuition (x).
Answer:
Below
Step-by-step explanation:
y = 100 - ( x-250)/20 *8 for every 20 above 250 eight fewer students from the 100 who would enroll at 250 level ( this is for x >= 250...the question says nothing about enrollment change from lowering the price BELOW 250)
FILL IN THE BLANK. validity is the extent to which findings may be generalized, while___validity refers to the ability to infer that there is a causal relationship between variables.
Validity is the extent to which findings may be generalized, while Internal validity validity refers to the ability to infer that there is a causal relationship between variables.
"Information available from the question",
In the question:
Validity is the extent to which findings may be generalized, while___ validity refers to the ability to infer that there is a causal relationship between variables.
To fill up the blank space:
Now, According to the question:
Let's Know:
Internal and external validity are two ways of testing cause-and-effect relationships.
Internal validity refers to the degree of confidence that the causal relationship being tested is trustworthy and not influenced by other factors or variables.
External validity refers to the extent to which results from a study can be applied (generalized) to other situations, groups, or events.
Now, According to the above statement is:
Hence, Validity is the extent to which findings may be generalized, while Internal validity validity refers to the ability to infer that there is a causal relationship between variables.
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Which is the equivalent form of the expression P NR?
The formula for a permutation is: P(n,r) = n! / (n-r)!
What is Permutations ?
A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}. As you can see, there are no other ways to arrange the elements of set A. The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.
The formula for a permutation is: P(n,r) = n! / (n-r)!
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A baker sells boxes of cookies for $5 each. She has a total of 20 boxes of cookies to sell, and each box contains 12 cookies. The bakers total sales, in dollars, is a function of the number of boxes of cookies she sells, as shown by the
graph below
The baker's total sales is a function of the number of boxes of cookies she sells will be y = 5x.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A pastry specialist sells boxes of treats for $5 each. She has a sum of 20 boxes of treats to sell, and each crate contains 12 treats.
Let 'x' be the number of boxes of cookies and 'y' be the total cost. Then the equation is given as,
y = 5x
The baker's total sales is a function of the number of boxes of cookies she sells will be y = 5x.
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(10, y) and (3,4) ;m = 2/7
The value of the y such that the slope associated with both points is 2/7 will be 6.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
As per the given points,(10, y) and (3,4) and slope m = 2/7
2/7 = (4 - y)/(3 - 10)
4 - y = -7(2/7)
4 - y = -2
y = 4 + 2 = 6
Hence "The value of the y such that the slope associated with both points is 2/7 will be 6".
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Which of the following is equivalent to the expression below?
5x + 2(3x - 1) - 5x
Pilihan jawaban
6x - 2
6x + 2
16x - 2
16x + 2
The expression 6x - 2 is equivalent to 5x + 2(3x - 1) - 5x. Option (1) is Correct.
Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).
The equality (=) sign is used to denote equivalent phrases. Since the values of both expressions are constant for all values of x, 3(x + 2) and 3x + 6 are equal expressions. 3x + 6 = 3 × 4 + 6 = 18.
Here the expression is : 5x + 2(3x - 1) - 5x ...... (1)
let x=1 put in equation 1
then we get,
=5(1)+2(3(1)-1)-5(1)
=5+6-2-5
=4
now verify with all Options: put x =1
6x - 2 = 6(1) -2
=6-2
=4 (Correct value)
Option 2:
6x + 2
=6(1)+2
=8 (wrong Option)
Option 3:
16x - 2
=16-2
=14 (wrong Option)
Option 4:
=16x + 2
=16+2
=18 (wrong Option)
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Correct Question:
Which of the following is equivalent to the expression below?
5x + 2(3x - 1) - 5x
1. 6x - 2
2. 6x + 2
3. 16x - 2
4. 16x + 2
Help me please. Your the best if you help.
Answer:
[tex]x= \boxed{25}\;\; \sf meters[/tex]
[tex]y= \boxed{15}\;\; \sf meters[/tex]
[tex]z= \boxed{58}\;\; \sf degrees[/tex]
Step-by-step explanation:
Similar Triangles
Corresponding sides are always in the same ratio.Corresponding angles are the same size.If ΔWXY ~ ΔQRS then:
WX : QR = XY : RS = WY : QSTherefore:
[tex]\implies \sf WX : QR = XY : RS = WY : QS[/tex]
[tex]\implies (15+x) : 30 = 20 : y = 32 : 24[/tex]
[tex]\implies \dfrac{15+x}{30}=\dfrac{20}{y}=\dfrac{32}{24}[/tex]
Solving for x:
[tex]\implies \dfrac{15+x}{30}=\dfrac{32}{24}[/tex]
[tex]\implies 15+x=\dfrac{30 \cdot 32}{24}[/tex]
[tex]\implies x=\dfrac{30 \cdot 32}{24}-15[/tex]
[tex]\implies x=25[/tex]
Solving for y:
[tex]\implies \dfrac{20}{y}=\dfrac{32}{24}[/tex]
[tex]\implies 20 \cdot 24=32y[/tex]
[tex]\implies y=\dfrac{20 \cdot 24}{32}[/tex]
[tex]\implies y=15[/tex]
If ΔWXY ~ ΔQRS then:
m∠W = m∠Qm∠X = m∠Rm∠Y = m∠STherefore, solving for z:
[tex]\implies m \angle W = m \angle Q[/tex]
[tex]\implies 40^{\circ} = z-18^{\circ}[/tex]
[tex]\implies z=40^{\circ} +18^{\circ}[/tex]
[tex]\implies z=58^{\circ}[/tex]
In a certain high school, historically 40% of graduates will go on to college. This the year graduating class has 120 students a) Find the expected value and standard deviation of the number of these graduates who will go on to college. b) The record number of graduates from a class who go on to college is 58. Using an appropriate approximate method, find the probability that this year's class will beat that record
(a) The expected value is 48 and the standard deviation is 5.366 .
(b) The probability that this year's class will beat the record is 0.0250 .
In the question ,
it is given that ,
the number of students is (n) = 120
40% of graduates will go on to college , that means (p) = 0.4
Part(a)
the expected value is E(x) is
E(x) = n*p = 120*0.4 = 48 .
the standard deviation is √np(1-q) = √120*0.4*0.6 = √28.8 ≈ 5.366
Part(b)
Using normal distribution for approximation ,
μ = 48 , σ = √28.8 and z = (x - 48)/√28.8 .
P(class will beat the record) = P(x>58)
= P(x>58.5) continuity correlation
= P(Z > (58.5 - 48)/√28.8) = P(Z > 1.96) that is
= 0.0250 .
Therefore , (a) expected value = 48 , standard deviation = 5.366
(b) the required probability is 0.0250 .
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The side effects of a new drug are being tested against a placebo. A simple random sample of 565 patients yields (he results below. At a significance level of & = 0.10,(S there enough evidence to conclude that the treatment is independent of the side effect of nausea?
At a significance level of 0.10, there is enough evidence to conclude that the treatment is dependent to the side effect of Nausea
How to solve chi square statistics?The observed values are given as;
Result Drug Placebo Total
Nausea 36 13 49
No Nausea 254 262 516
Total 290 275 565
The expected values are as follows;
EXPECTED
DRUG PLACEBO
NAUSEA (290 * 49/565) = 25.150442 (275*49/565) = 23.849558
NO NAUSEA (290*516/565) = 264.849558 (275*516/565) = 251.150442
Test statistic = ∑((observed - (expected)²)/expected = ∑(O - E²)/E
This gives the test statistic as;
DRUG PLACEBO
NAUSEA 4.680351 4.935643
NO NAUSEA 0.444452 0.468695
∑(O - E²)/E = 10.52914
From a chi square calculator, our critical Value = 2.71
The conditions are;
If (calculated value > crit Value), then we reject Null hypothesis and accept the Alternative hypothesis
If (calculated value < critical value) we accept Null hypothesis and reject Alternative hypothesis
We are given;
Null Hypothesis; The two variables are independent
Alternative Hypothesis; The two variables are dependent
Since (10.52914 > 2.71) we reject Null Hypothesis and Accept Alt Hypothesis
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Consider two events A and B such that P(A) = 1/3 and P(B) = 1/2. Determine
the value of P(B ∩ Ac) for each of the following conditions:
(a) A and B are disjoint;
(b) A ⊂ B;
(c) P(A ∩ B) = 18
The probabilities for each case in this problem are given as follows:
a) A and B disjoint -> P(B and not A) = 1/2.
b) A is contained in B -> P(B and not A) = 1/6.
c) P(A and B) = 1/8 -> P(B and not A) = 3/8.
How to obtain the probabilities?The probability that we want to obtain in this problem is given as follows:
P(B ∩ Ac).
Which is the probability of B and the complement of A, that is:
P(B and not A).
If A and B are disjoint, it means that their intersection is of 0, hence:
P(B and not A) = P(B) = 1/2.
If A is contained in B, all elements of A are contained in B, hence the proportion of elements that are in B but not A is given as follows:
P(B and not A) = 1/2 - 1/3 = 1/6.
If the probability of the intersection is of 1/8, the proportion of elements that are in B but not A is given as follows:
P(B and not A) = 1/2 - 1/8 = 4/8 - 1/8 = 3/8.
(as 1/8 of them belong to both B and A, hence they do not belong to the complement of A).
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Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS? (draw a diagram and solve)answer choices360240290340
The length of the sides of EFG are 144 cm, 128 cm and 112 cm. And length of the longest side of QRS is 360 cm.
A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is represented as ΔABC.
In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). That is, there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high dimensional Euclidean space. This article is about triangles in Euclidean geometry, specifically the Euclidean plane, unless otherwise stated.
According to the question:
Triangles EFG and QRS are similar
So EF/QR = FG/RS = EG/QS
Therefore,
The length of the sides of EFG are 144 cm, 128 cm and 112 cm.
Here, 112 is smallest side of triangle EFG
Let, the smallest side of EFG be EF so QR is also the smallest side of triangle QRS i.e. QR = 280 cm & other sides be assumed "x" & "y"
Now,
112/280 = 144/x = 128/y
⇒ 2/5 = 144/x = 128/y
Taking first two, we get
x = 360 cm
Now,
Taking first and third , we get ,
y = 320 cm
So others two sides of triangle QRS are 320 cm & 360 cm.
And length of the longest side of QRS is 360 cm.
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