1. Based on the information given, can you determine that the quadrilateral must be a
parallelogram? Explain.
Given: (BE) ̅ (ED) ̅ and (AE) ̅ (EC) ̅
2. The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
Answers
Solving Q1: Given BE = ED and AE = EC.
Considering triangles ΔAED and ΔCEB;
1. AE = EC (given)
2. ∠AED = ∠CEB (vertical angles)
3. ED = EB (given)
ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)
∠DAE = ∠BCE and AD = BC (using CPCTC)
⇒ AD║BC (Converse of Alternate Interior angles theorem)
Similarly consider triangles ΔABE and ΔCDE;
1. AE = CE (given)
2. ∠BEA = ∠DEC (vertical angles)
3. BE = DE (given)
ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)
∠ABE = ∠CDE and AB = CD (using CPCTC)
⇒ AB║CD (Converse of Alternate Interior angles theorem)
Since we have AB║CD, AB = CD and AD║BC, AD = BC.
Therefore, quadrilateral ABCD is a parallelogram.
****************************************************************************************************
Solving Q2: The parallelogram has the angle measures shown in the diagram.
It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.
Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.
Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.
Using CPCTC, we can say opposite sides of quadrilateral would be congruent.
Therefore, all sides in given quadrilateral are equal.
Hence, Given quadrilateral is a Rhombus.
Related Questions
25 POINTS PLEASE HELPIf the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is.
Answers
The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.
Explanation:The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.
Arithmetic sequence formula
:
Tn = T(n-1) + d
Where:
Tn is the nth termT(n-1) is the previous termd is the common differenceApplying this formula to find the sixth term:
Sixth term = Fifth term + Common difference
= 11 + 4
= 15
Therefore, the sixth term of the sequence is 15.
If the √4 is 2, what is 89²?
Answers
Calculations:
89x89 = 7,921
PLEASE HELP!!ABCD∼EFGH
AD=30 in. , EH=50 in. , and CD=15 in.
What is GH ?
Answers
You're answer is going to be -
GH= 25 inches
Explain)
A-D= 30 inches
Half of AD = 15 inches, therefore all you need to do is split the next set in half as well.
50 divided by two is 25, therefore you're answer is 25 inches.
Hope this helps you! Have a great rest of you're day!
~Alexa
Answer: GH =25 in.
Step-by-step explanation:
Given: [tex]ABCD\sim EFGH[/tex]
We know that if two polygons are similar then their corresponding sides are proportional.
Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]
Since, AD=30 in. , EH=50 in. , and CD=15 in.
Then we have ,
[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]
FAN AND MEDAL: NEED HELP PLEASE! Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.,
Answers
Maya recived exactly 93750 votes
1. Is -7 + 9= -9 + 7 true, false, or open
A. True
B. False
C. Open
2. Is 4x - 3 = 19 true, false, or open
A. True
B. False
C. Open
3. Which of the following is a solution to the equation 16 = 4x - 4
A. -5
B. -4
C. 5
D. 16
4. An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 in. What should the width of the model be?
A. 17.5 in
B. 20.5 in
C. 83.6 in
D. 100.8 in
5. Use mental math to determine the solution to x - 3 = 10
A. X=7
B. X=13
C. X=30
D. X=0
Answers
2. Is 4x - 3 = 19 is open, because this could be a valid equation.
3. 16 = 4x - 4
So, 16+4=4x; 4x=20; x=20/4; x=5..... option C is the correct one.
4. length of the classroom is 2.4 times its width.
given length = 42 in, and since length = 2.4 times width, width = 42/2.4,
hence option A) 17.5 in is correct
5. x - 3 = 10
x = 10+3 =13
Option B is the right one.
The answer of the following mathematical expressions are,
1. True
2. False
3. C. 5
4. A. 17.5 in
5. B. x = 13
Let's go through each of the expression ,
Is -7 + 9 = -9 + 7 true, false, or open?
It is option A. True
Both sides of the equation simplify to 2, so the equation is true.
Is 4x - 3 = 19 true, false, or open?
It is option B. False
When you solve for x, you get 4x = 22, and then x = 5.5. Therefore, the equation is false.
Which of the following is a solution to the equation 16 = 4x - 4?
The value of x is option C. 5
When you solve for x, you get 4x = 20, and then x = 5. So, x = 5 is a solution to the equation.
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 inches. What should the width of the model be?
The width is equal to option A. 17.5 inches
If the length is 2.4 times the width, then the width should be 42 inches / 2.4 = 17.5 inches.
Use mental math to determine the solution to x - 3 = 10.
the value of x is option B. x = 13
Adding 3 to both sides of the equation gives x = 10 + 3, which is x = 13.
learn more about expressions here
brainly.com/question/34132400
#SPJ3
What are the x-intercepts of the quadratic function? f(x)=x2+2x−24
Answers
Answer:
Just took the test the answers are -6 and 4 for anyone else wondering! :)
Step-by-step explanation:
PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!
Can somebody please help me with these two problems?
1. What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
2. What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5),
Answers
The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.
To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2 × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.
Problem 1:
The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.
Problem 2:
The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.
The masses of four planets in a solar system outside the Milky Way are given below.
Mass of Planet A: 5.97 × 10^24 kg
Mass of Planet B: 3.30 × 10^23 kg
Mass of Planet C: 1.89 × 10^27 kg
Mass of Planet D: 4.87 × 10^24 kg
What is the order of these planets from least to greatest mass?
-Planet C, Planet B, Planet D, Planet A
-Planet C, Planet A, Planet D, Planet B
-Planet B, Planet D, Planet A, Planet C
-Planet A, Planet D, Planet B, Planet C
Answers
Look at the exponents.
23 comes before 24 and 27. So 3.30 x 10 ^ 23 comes first. Next, 24, and there are 2, so go by the decimals, 4.87 comes before 5.97. So 4.87 x 10^24 comes before 5.97 x 10^24. Then, that leaves 1.89 x 10^27.
need help please!! thanks
Answers
The answer be D. (4,0)
Brainliest pts pls
(-3,-2)
Substitute
(7)(-3) - (5)(-2) = 28
(7)(-3) - (5)(-2) Does not equal 28
(4,0)
Substitute
(7)(4) - (5)(0) = 28
This is true
(4,0) is your answer
====================================================================
2.)
4x - 5y = 9
y = 4/5x - 9/5
suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c<0, what could be the possible values of p and q?
A: p= -3, q= 7
B: p= 11, q= 4
C: p= -2, q= -5
D: p= 1, q= 10
Answers
c = p * q
So that c <0
We have that the possible values are:
p = -3
q = 7
Thus, the value of c is:
c = p * q
c = (- 3) * (7)
c = -21 <0
Answer:
the possible values of p and q could be
A: p = -3, q = 7
Explanation:
Let's solve it smartly!
Given expression: [tex] x^{2} + bx +c[/tex] --- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=> [tex] x^{2} + (p+q)x + pq[/tex] --- (B)
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:
p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)). Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).
(1, –5)
(–1, –6)
(4, –9)
(–2, –1)
Answers
Explanation:
1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5
2) Since the point P has y-coordinate - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).
Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,
Therefore, the y-coordinate of the image is - 9.
3) The second reflection, Rx = 1, means a reflection across the line x = 1.
4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).
Then, the reflection of P will be 3 units to the right of the line x = 1.
That is 1 + 3 = 4.
Therefore, the x-coordinate of the image is 4.
5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.
USING 56 POINTS PLEASE HELP! A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need? Round to the nearest foot.
(Thank you!!) PLEASE ROUND THE NUMBER TO THE NEAREST FOOT.
Answers
Answer:
If this is right then yw :)
Step-by-step explanation:
Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?
Answers
Leslie's statement is correct. 5 multiplied by an even number always results in an even product
Number multiplication rulesFrom the question, we are to determine if Leslie's statement is correct.
From the given information,
Leslie says that 5 multiplied by an even number always results in an even product
An even number is a whole number that is able to be divided by two into two equal whole numbers
NOTE: The multiplication of any integer by an even number will always result in an even product.
An integer is a positive or negative whole number.
Since, 5 is an integer, then the multipliction of 5 by an even number will always results in an even product.
Hence, Leslie's statement is correct. 5 multiplied by an even number always results in an even product.
Learn more on Number multiplication rules here: https://brainly.com/question/14176303
How can you minimize the risk from your investments?
A.) By investing in a stock with the highest volatility.
B.) By investing in a stock with maximum returns.
C.) By investing in a variety of investment options.
Will fan and medal,
Answers
You can minimize the risk from your investments by investing in a variety of investment options. The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy. Your investment portfolio should contain different types of investments so that the risk would be spread to these investments.
By investing in a variety of investment options will minimize the risk from your investments.
What is Investment?Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time
We need to find in which way we can minimize the risk from your investments.
Before you begin to invest, think about what returns you’re realistically expecting and be clear on what your investment goals are.
The greater the potential returns, the higher the level of risk.
The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy.
So one can minimize the risk from your investments by investing in a variety of investment options. Your investment should contain different types of investments so that the risk would be spread to these investments.
Hence, By investing in a variety of investment options will minimize the risk from your investments.
To learn more on Investment click:
https://brainly.com/question/15353704
#SPJ5
What is the missing constant term in the perfect square that starts with x^2−4x
Answers
x² - 4x = x² - 4x + (2)² - (2)²
2² = 4
The constant term that is missing is 4
Please help !! I fan and medal!!
1.)rewrite the following expression using the distributive property.
5(2x-8)
A.)-30x
B.)10x-40
C.)10x+40
D.)10x-8
2.)simplify the following expression:
-16-18/2+25/5+1. ( the -16 and -18 are both on top of the 2 it's a fraction)
A.)-18
B.)6
C.)10
D.)-6
Answers
2 i think you wrote it wrong but I'm going to guess to the best of my abilities
D. -6
how many integer solutions are there to the equation x^3-5x^2+2x+13=5
Answers
To find the solutions to this, you can either graph it on a graphing calculator or factor it.
If you factor it, first set it equal to 0 by subtracting 5 from both this.
The you can factor it to: (x - 2)(x - 4)(x + 1) = 0
Using the zero product rule, our solutions are 2, 4, and -1.
There are 3 integer solutions.
Good luck,
MrEQ
two vertical cliffs are on opposite sides of a 90 foot wide river. From point A at the top of the shorter cliff, the angle of elevation of the top of the other cliff(b) is 28 degress and the angle of depression to the bottom is 38 degress.find the height of each cliff ,to the nearest foot
Answers
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Final Answer:
The height of the shorter cliff is 70 feet and the height of the taller cliff is 118 feet.
Explanation:
To find the height of each cliff, we will use trigonometry. Specifically, we will use the tangent function, which is the ratio of the opposite side to the adjacent side of a right-angled triangle.
First, let's consider the shorter cliff (point A). We know the angle of depression from A to the bottom of the river is 38 degrees. If we imagine a horizontal line at the height of point A, we can create a right-angled triangle with one angle at the bottom of the river, the vertical side as the height of the cliff, the horizontal side as the width of the river, and the angle of depression at point A.
Using the tangent of the angle of depression, we can set up the following equation to find the height of the shorter cliff (which we will call hA):
tan(38 degrees) = height_shorter_cliff / width_river
Solving for the height of the shorter cliff, we get:
height_shorter_cliff = width_river * tan(38 degrees)
Using a calculator or trigonometry tables, we find that the height of the shorter cliff is approximately 70 feet.
Next, let's consider the taller cliff (point B). The angle of elevation from A to B is given as 28 degrees. Now we can imagine another right-angled triangle, this time with one angle at point A, the vertical side as the difference in height between cliffs A and B, the horizontal side as the width of the river, and the angle of elevation at point A.
Using the tangent of the angle of elevation, we can set up an equation to find the height difference between cliffs A and B (which we will call hB - hA):
tan(28 degrees) = (height_taller_cliff - height_shorter_cliff) / width_river
We can rearrange this to solve for the height of the taller cliff:
height_taller_cliff = width_river * tan(28 degrees) + height_shorter_cliff
Now, using our previous result for the height of the shorter cliff (70 feet), we plug it into our equation:
height_taller_cliff = 90 * tan(28 degrees) + 70
Using a calculator or trigonometry tables to evaluate tan(28 degrees), we find that the height of the taller cliff is approximately 118 feet.
Therefore, to the nearest foot, the height of the shorter cliff is 70 feet and the height of the taller cliff is 118 feet.
Plz help. ,,, ,,,,,,,,,,,,,,........
Answers
7. -2b + 12
8. 2y-12
To simplify, we need to combine like terms.
6.
6x + 2 - 3x - 5
= 3x + 2 - 5
= 3x - 3
To simplify this, we need to distribute.
7.
-2 × b + 2 × 6
= -2b + 12
8.
4y - 12 + 2y
= 6y - 12
Hope this helps!
Solve 2 log 2x = 4. Round to the nearest thousandth if necessary
Answers
x = 50
Explanation:
Before we begin, remember the following:
logₐ (x) = b
is equivalent to:
aᵇ = x
log with no base written has the default base 10
Now, let's check the given:
2 log 2x = 4
We will start by dividing both sides by 2:
log 2x = 2
Now, applying the above rules, we can get the value of the x as follows:
log 2x = 2
10² = 2x
[tex] \frac{2x}{2} [/tex] = [tex] \frac{10^2}{2} [/tex]
x = 50
Hope this helps :)
Answer:
For [tex]2log2x=4[/tex] , x = 50
Step-by-step explanation:
Given : [tex]2log2x=4[/tex]
We have to find the value of x.
Consider the given [tex]2log2x=4[/tex]
Divide both side by 2, we have,
[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]
Simplify, we have,
[tex]\log _{10}\left(2x\right)=2[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)[/tex]
[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]
[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]
When log have same base, we have,
[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2x=100[/tex]
Divide both side by 2, we have,
[tex]x=50[/tex]
Thus, For [tex]2log2x=4[/tex] , x = 50
What is the angle for a and b
Answers
a triangle is 180 degrees
180 - 40 = 140
140 /2 = 70
angle a and b are 70 degrees
∠a = ∠b
180 - 40 = 140
140 ÷ 2 = 70°
∠a = 70°
∠b = 70°
------------------------------------------------------------------
Answer: ∠A = 70° , ∠B = 70°
------------------------------------------------------------------
What is the definition of asymptote?
What is the facts or characteristics of asymptote?
What is some examples of asymptote?
What is some non-examples of asymptote?
Answers
An asymptote is a line that approaches a curve indefinitely without intersecting it at any finite point. Examples include the line y = 0 for the function y = 1/x, whereas a non-example would be the intersecting line y = x with a parabola y = x^2.
Explanation:An asymptote is a line that a curve approaches as it heads towards infinity, but never actually reaches.
There are several characteristics of an asymptote that are notable. First, the distance between the curve and the asymptote approaches zero as one moves along the curve towards infinity. However, the curve will never intersect the asymptote at any finite point. There are two main types of asymptotes: vertical and horizontal.
An example of an asymptote is the line y = 0, which is a horizontal asymptote for the function y = 1/x as x approaches infinity.
A common non-example of an asymptote is any line or curve that intersects a graph at a finite number of points, such as the line y = x when compared with a parabola y = x2.
This figure shows circle C with diameter LM and inscribed ∠LMN .
m∠LMN=32°
What is the measure of arc LMN?
Enter your answer in the box.
Answers
Answer:
[tex]296^{\circ}[/tex]
Step-by-step explanation:
It is given that figure shows circle C with diameter LM and inscribed ∠LMN and m∠LMN=32° .
We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have
[tex]{\angle}NCL=2({\angle}LMN)[/tex]
Substituting the given values, we have
[tex]{\angle}NCL=2(32^{\circ})[/tex]
[tex]{\angle}NCL=64^{\circ}[/tex]
Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)
[tex]major{\angle}LCN=296^{\circ}[/tex]
Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].
If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
Answers
The required total bill would be $64.134 including of 18% tip.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
According to the question,
To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
= 54.35 [1 + 0.18]
= 54.35 (1.18) = 64.134
Thus, the required total bill would be $64.134.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ6
can someone check these questions?
Answers
4 is correct
5
The second one is also correct.
The beginning balance in the computers account was $2000.the company purchased an additional $1000 worth of computers.the balance in the account is a ?
A. Credit of $2000
B. Debit of $2000
C. Credit of $3000
D. Debit of $3000
I need the answer ASAP!!!!!!!
Answers
The balance of account a need to be as much as $3000
If AB=6and AC=8, which statement will justify similarity by SAS?
Answers
[tex]ab = 6 \: \: and \: \: ac = 8[/tex]
so we need to find the answer choice such that we can set up a proportion of sides that are equal
[tex] \frac{ab}{de} = \frac{ac}{df} [/tex]
plugging in choice we find choice 4 is correct because
[tex] \frac{15}{6} = \frac{20}{8} [/tex]
simplify and get
[tex]2.5 = 2.5[/tex]
this would mean the sides are similar of both triangles. now we can consider the angle were given and justify that both triangles are similar under choice 4
A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. To study the impact of adding ingredient P, Q, R, S, or T to the recipe, they baked 270 loaves of bread. Some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. The freshness of the bread was checked one week later, and the results were used to create the two-way tables below.
Which tables suggest an association between adding an extra ingredient and the freshness of the bread? Check all that apply.
(Tables Below)
Answers
Answer:
Effect of ingrediant R on freshness
Effect of Ingredient S on freshness
Effect of ingrediant T on freshness
Step-by-step explanation:
X Effect of ingrediant P on freshness
X Effect of ingrediant Q on freshness
* Effect of ingrediant R on freshness
* Effect of Ingredient S on freshness
* Effect of ingrediant T on freshness
Answer on edge
What is the trigonometric ratio for sin C ?
Enter your answer, as a simplified fraction.
Answers
Sin (x) = C.O / h
Where,
x = angle
C.O = opposite leg
h: hypotenuse.
Substituting values we have:
Sin (C) = AB / 82
We should look for AB. For this, we use the following relationship:
AB ^ 2 + 80 ^ 2 = 82 ^ 2
Clearing AB:
AB = root ((82 ^ 2) - (80 ^ 2))
AB = 18
Substituting we have:
Sin (C) = 18/82
Simplifying:
Sin (C) = 9/41
Answer:
the trigonometric ratio for sin C is:
Sin (C) = 9/41
Worker A earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. Worker B earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. Which of these statements is true?
A. Worker B earns more per day than worker A but less per hour than worker A.
B. Worker A earns more per day than worker B but less per hour than worker B.
C. Worker A earns more per day than worker B and more per hour than worker B.
D. Worker B earns more per day than worker A and more per hour than worker A.
Answers
Total earning per day = $8.10 x 10 = $81
He works 9 hours a day. Find the rate for 1 hour.
81 ÷ 9 = 9
He earns $9 an hour
Worker B:
Total earning per day = $8.40 x 8 = $67.20
He worked 7 hours a day. Find the rate for 1 hour.
67.20 ÷ 7 = $9.60
He earns $9.60 per hour
Worker A earns more per day than worker B but less per hour than worker B. (Answer B)
By calculating the total earnings per day and earnings per hour for Worker A and Worker B, we deduce that Worker A earns more per day than Worker B but earns less per hour than Worker B.
Explanation:To answer this question, we first need to calculate the total earnings per day and then the earnings per hour for both Worker A and Worker B.
For Worker A, the total earnings per day can be calculated as: 10 widgets/day * $8.10/widget = $81/day. For Worker B, the total earnings per day can be calculated as: 8 widgets/day * $8.40/widget = $67.20/day.
Therefore, we can see that Worker A earns more per day than Worker B.
Next, we calculate the earnings per hour. For Worker A, the earnings per hour amount to: $81/day ÷ 9 hours/day = $9/hour. For Worker B, the earnings per hour amount to: $67.20/day ÷ 7 hours/day = $9.60/hour.
Thus, Worker B earns more per hour than Worker A.
Given the calculations, the correct statement is B. Worker A earns more per day than Worker B but less per hour than Worker B.
Learn more about Salary Comparison here:https://brainly.com/question/31588990