Analyze a CSR capital investment proposal for Ganon Inc.
Ganon Inc. is evaluating a proposal to replace its HID (high intensity discharge) lighting with LED (light emitting diode) lighting throughout its warehouse. LED lighting consumes less power and lasts longer than HID lighting for similar performance. The following information was developed:
Line Item Description Value
HID watt hour consumption per fixture 500 watts per hr.
LED watt hour consumption per fixture 300 watts per hr.
Number of fixtures 800
Lifetime investment cost (in present value terms)
to replace each HID fixture with LED $300
Operating hours per day 10
Operating days per year 300
Metered utility rate per kilowatt-hour (kwh)* $0.12
*Note: A kilowatt-hour is equal to 1,000 watts per hour.

a. Determine the investment cost for replacing the 800 fixtures.
$240,000
b. Determine the annual utility cost savings from employing the new energy solution.

c. Should the proposal be accepted?
Yes
Evaluate the proposal using net present value, assuming a 15-year life and 8% minimum rate of return. (Click here to view Present Value of Ordinary Annuity.)

Answers

Answer 1

a)

The investment cost for replacing the 800 fixtures is $240,000.

b)

Annual utility cost savings is $57,600/year.

c)

Since the NPV is positive, the proposal should be accepted as it generates a positive return and is expected to be profitable.

We have,

a.

The investment cost for replacing the 800 fixtures is given as $300 per fixture, so the total investment cost would be:

Total Investment Cost = Number of fixtures x Investment cost per fixture

Total Investment Cost = 800 x $300

Total Investment Cost = $240,000

b.

To calculate the annual utility cost savings, we need to find the difference in the watt-hour consumption per fixture between HID and LED lighting, and multiply it by the number of fixtures, operating hours per day, operating days per year, and the metered utility rate per kilowatt-hour:

Energy consumption savings per fixture per hour = HID watt hour consumption - LED watt hour consumption

Energy consumption savings per fixture per hour = 500 watts/hr - 300 watts/hr

Energy consumption savings per fixture per hour = 200 watts/hr

Total energy consumption savings per hour for 800 fixtures:

= Energy consumption savings per fixture per hour x Number of fixtures

Total energy consumption savings per hour for 800 fixtures.

= 200 watts/hr x 800

Total energy consumption savings per hour for 800 fixtures.

= 160,000 watts/hr

Total energy consumption savings per year = Total energy consumption savings per hour x Operating hours per day x Operating days per year

Total energy consumption savings per year = 160,000 watts/hr x 10 hrs/day x 300 days/year

Total energy consumption savings per year = 480,000,000 watt-hours/year

Total energy consumption savings per year in kilowatt-hours (kWh):

= Total energy consumption savings per year / 1,000

Total energy consumption savings per year in kWh = 480,000,000 / 1,000

Total energy consumption savings per year in kWh = 480,000 kWh/year

Annual utility cost savings:

= Total energy consumption savings per year in kWh x Metered utility rate per kWh

Annual utility cost savings = 480,000 kWh/year x $0.12/kWh

Annual utility cost savings = $57,600/year

c.

To evaluate the proposal using net present value (NPV), we need to calculate the present value of the investment cost and the present value of the annual utility cost savings over a 15-year period.

Using the Present Value of the Ordinary Annuity formula with a 15-year life and 8% minimum rate of return, we get:

PV of Investment Cost = -$240,000 (negative because it's a cash outflow)

PV of Annual Utility Cost Savings = $514,883.81

NPV = PV of Annual Utility Cost Savings - PV of Investment Cost

NPV = $514,883.81 - (-$240,000)

NPV = $754,883.81

Therefore,

The investment cost for replacing the 800 fixtures is $240,000.

Annual utility cost savings is $57,600/year.

Since the NPV is positive, the proposal should be accepted as it generates a positive return and is expected to be profitable.

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Related Questions

A cone has an apex. True False

Answers

Answer:

True, a cone has an apex which is the point where the sides of the cone meet to form a tip.

Find the surface area of the composite solid. Round your answer to the nearest hundredth.


The surface area is about square centimeters.
WILL GIVE BRAINLIEST

Answers

The surface area of the composite figure is about 98.56 sq.cm

What is the surface area of the composite figure?

The composite figure is made up of a cylinder and a cuboid.

The formula for surface area of a cylinder is:

A = 2πr² + 2πrh

In this case, we only have top and not bottom. Thus:

A = πr² + 2πrh

A = π(1)² + 2π(1 * 6)

A = 37.7 sq.cm

Surface area of cuboid is:

A = 2(4 * 4) + 4(2 * 4) - π(1)²

A = 32 + 32 - π

A = 60.86 sq.cm

Total surface area = 37.7 sq.cm + 60.86 sq.cm

= 98.56 sq.cm

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Just Need the blanks filled in PLEASE HELP

Answers

The Equation based on the function will be: t = (1/0.07) * ln(P/1,500,000)

How to explain the function

Initially, the exponential expression is extracted and formulated as follows:

It should be noted that to obtain e^(0.07t) = P/1,500,000

Secondly, in order to determine the value of t, take the natural logarithm of both sides of the equation such that:

Take ln(e^(0.07t)) = ln(P/1500000)

It can now be represented by 0.07t = ln(P/1500000)

Finally, on dividing both components of the term through 0.07, it results in the isolation of t where:

Equation: t = (1/0.07) * ln(P/1,500,000)

In conclusion, this function's inverse describes the number of years, since the year 1990, for a determined population figure, P - its formation being previously outlined above.

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5. Which graph represents 4x - 2y = 8?

Answers

Answer:

A

Step-by-step explanation:

4x - 2y = 8

x - int y = 0

4x = 8

x = 2

(2, 0)

y-int, x = 0

-2y = 8

y = -4

please help me thank you!!​

Answers

Answer: 75%

Step-by-step explanation:

     We will divide the wanted outcome by the total number of possible outcomes. Note that a decimal times 100 becomes a percentage.

[tex]\displaystyle \frac{\text{not picking a diamond card}}{\text{cards in the deck}} =\frac{39}{\text{52}} =0.75\;\;\;0.75*100=75\%[/tex]

use a unit 2 multiplayer to convert 5.4 square meters to square centameters

Answers

To convert 5.4 square meters to square centimeters is 54,000 cm²

How to convert convert 5.4 square meters to square centimeters?

To convert 5.4 square meters (m²) to square centimeters (cm²),

We need to multiply it by 10,000 (since 1 meter = 100 centimeters).

5.4 m² = 5.4 x 10,000 cm² = 54,000 cm²

Therefore, 5.4 square meters is equal to 54,000 square centimeters.

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Use the frequency data in the table below to compute the phi correlation coefficient.

Therapist's Approach Satisfaction Totals

Cognitive-Behavioral Psychodynamic
Client Satisfied
by Therapy?

Yes 26 15 41
No 11 24 35
Approach Totals 37 39 N = 76
What is the Fobt for the regression line?
What is the critical value (Fcrit ) for the significance test of the regression line?
Based on the Fobt you calculated is the regression line statistically significant? (i.e., Should you reject the null hypothesis?)
Use the information you computed for the regression line significant test's source table to calculate the standard error of prediction (se). What is its value? (Round your answer to 2 decimal places)

Answers

Based on the information, we cannot reject the null hypothesis because our calculated phi coefficient (0.245) is smaller than the critical value (3.84).

How to explain the hypothesis

It should be noted that to establish whether the phi coefficient is statistically significant, we can compare it to a crucial value. However, the significance level (i.e., alpha) must be specified ahead of time.

Assume a 0.05 level of significance. We calculate the crucial value for a 2x2 contingency table with 1 degree of freedom and a significance level of 0.05 using a phi coefficient table or calculator.

We cannot reject the null hypothesis because our calculated phi coefficient (0.245) is smaller than the critical value (3.84). As a result, we find that there is no statistically significant relationship between the therapist's method and client satisfaction.

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Problems 2 and 3 refer to the following drawing.

Answers

2. The side AC corresponds to side AE of the other triangle.

3. The length of side BC is 15.

What are similar triangles?

Two or more triangles are said to be similar if on comparing their properties, there exist some common relations. Some of the common relations are; measure of internal angles, scale factor etc.

From the diagram given, we have;

2. Given that the triangles are similar, thus:

The side AC corresponds to side AE of the other triangle.

3. On comparing the corresponding length of the triangles, we have;

15/ 25 = 9/ BC

15BC = 9 x 25

         = 225

BC = 225/ 15

     = 15

The length of side BC is 15.

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Find the exact volume of a cylinder with radius 4 ft. and height 10 ft.

Answers

The answer is 502.65ft^3

Select the correct answer.
Which of these statements defines the term resources?
O A. materials that help you achieve your goals
OB. all the goods and services provided to people
OC. the government's ability to deal with economic problems
Reset
Next

Answers

The statements that defines the term resources is A. materials that help you achieve your goals.

What is resources?

Resource  can be described as all the materials available  that is available in individual environment  and can be seen as one that is  technologically accessible.

It should be noted that resources do help us to achieve most of our goals and can be seen as one that is economically feasible  as welll as culturally sustainable and they serves as things that can help us and thjat can  satisfy our needs and wants which is needed on daily basis.

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Can a rectangle be a parallelogram

Options
A. Sometimes
B. Always
C. Never

Answers

Answer:

B always because a rectangle has two sets of parallel sides

Hope this helps

How many lines are shown in the drawing

Answers

The given images shows us that we have a total of two lines

How to identify the lines?

In mathematics, a point is referred to as the particular location on a plane. A point is identified by a dot.  It has no length, shape or size.

A line is straight, without any type of thickness and it is the shortest distance that exists between 2 points. It has only length. It is without width.

A line segment has two end points. The difference that a line segment has with a line is that a line is extensive while the line segment has two end points.

Ray is defined as a line that has only one endpoint. The other end of the line just goes on. It has one start point and one end point.

From the attached image, it is vert clear that we have two lines which are the horizontal line and the line that divides it.

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What meaning of the statement this?

Answers

This statement defines the concept of left and right sets of elements x of G with respect to the subgroup H of G.

How does the statement express it's meaning?

The left set of x in G, denoted by xH, is the set of all elements of G obtained by multiplying x to the left by all elements of H. Formally xH = {xh: h ∈ H}, where "xh" denotes the product of x and h in G.

Similarly, the right-hand set of x in G, denoted Hx, is the set of all elements of G obtained by multiplying x on the right by all elements of H. Formally Hx = {hx: h ∈ H}, where "hx" denotes the product of h and x in G.

Generally, left and right sets are different sets and may contain different numbers of elements. However, if the group G is commutative (ie the order of multiplication does not matter), then the left and right sets are equal.

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QUESTION SIX Solve the following problems: (a) Find the gradient, x and y intercepts of 3x + 4y + 12 = 0. Sketch the graph. (6 Marks) (b) Find the gradient, x and y intercepts of the line I, passing through the points P (-1,4) and Q (3,0). Sketch the graph. (6 Marks) (c) A line 1₂ is perpendicular to 4. Find its gradient. (2 Marks) (14 Marks)​

Answers

The sketches of the graphs are added as an attachment and the gradient of the perpendicular line l₂ is 1

Finding the gradient, x and y intercepts

Given that

3x + 4y + 12 = 0

Set x = 0 to determine the y-intercept

4y + 12 = 0

So, we have

y-intercept = -3

Set y = 0 to determine the x-intercept

3x + 12 = 0

So, we have

x-intercept = -4

For the gradient, we make y the subject in 3x + 4y + 12 = 0.

y = -3/4x - 12/4

y = -3/4x - 3

So, the gradient is -3/4

The sketch of the graph is attached.

Finding the gradient, x and y intercepts

Here, we have the points P (-1,4) and Q (3,0).

The gradient is

gradient = (0 - 4)/(3 + 1)

gradient = -1

From the point, we have

x-intercept = 3

For the y-intercept, we have

(0 - 4)/(3 + 1) = (y - 4)/(0 + 1)

(y - 4)/(0 + 1) = -1

y - 4 = -1

y-intercept = 3

So, the equation is

y = -x + 3

The sketch of the graph is attached.

Finding the gradient of l₂

We understand that l₂ is perpendicular to l

The gradients of perpendicular lines are

Gradient 1 = -1/Gradient 2

So, we have

l₂ = -1/-1

Evaluate

l₂ = 1

Hence, the gradient of line l₂ is 1

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What is the measure of EACH interior angle of a
regular 16-sided polygon?

Answers

The measure of  each interior angle of a regular 16-sided polygon is 157.5 degrees

How to determine the value

To determine the value of the interior angle, we need to note that;

The formula for calculating the sum of the interior angles of a polygon is expressed with the expression;

(n -2)180

Such that the variable n in the expression represents the number of sides of the polygon

From the information given, we have that;

(16- 2)180

expand the bracket

14(180)

multiply the values

2520 degrees

Then, we have;

16x = 2520

Make 'x' the subject

x= 157. 5 degrees

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. Find the exact circumference in terms of pi of the circles. (5 points each)

Answers

Step-by-step explanation:

The hypotenuse of each of these right triangles can be found using Pythagorean theorem....the hypotenuse is also the DIAMETER of the circle

   diamter * pi = circumference

First one:

  Hypot^2 = 13^2 + 13^2

    hypot ^2 = 338

     hypot = diameter = sqrt (338)

   circumference = diamter * pi  =  sqrt 338 pi   ft   ( or 13 sqrt(2) pi   ft )  

The second one is the same with slightly different numbers...you try it ...

Answer:[tex]\sqrt{338}\pi[/tex], [tex]25\pi[/tex]

Step-by-step explanation:

I will start with the second one, since it will be easier. Because this is a right triangle, you can use the given side lengths of the triangle to find the hypotenuse, which is also equal to the diameter of the triangle. Since the pythagorean theorem states that a^2(the shorter leg, squared) + b^2 (the longer leg, squared) = c^2 (the hypotenuse, squared) we can turn it into an equation like this:

[tex]7^{2\ }+\ 24^{2}\ =\ c^{2}[/tex]

(lets use x in place of c in the next few equations, for algebraic simplicity)

Simplify

[tex]49+\ 576\ =x^{2}[/tex]

[tex]625=x^{2}[/tex]

Get the square roots

[tex]\sqrt{625}=\sqrt{x^{2}}[/tex]

[tex]x=25[/tex]

Since x is equal to the hypotenuse, we know that the hypotenuse is also 25. This means the diameter of the second circle is 25, and we can now find the circumference. The EXACT circumference of the second circle is 25π, but a simplified version can be created by calculating it as if it were an equation. This comes out to around 78.5398163397, which would trail for infinity. which is why to get an exact measurement of the diameter, the most simplified exact version is displayed by multiplying the diameter by the pi symbol, because it is impossible to fit an infinite number in a finite space.

Now for the first circle, which I am now realising is no more difficult than the last one. We can do the same thing in this case, using pythagorean theorem, because there are two dash lines marking two of the lines on the circle to be equal to one another, we know that the two marked lines are equal to 13, despite not appearing to be.

We can use the same equation as we did before, but slightly modified.

[tex]13^{2}+13^{2}=x^{2}[/tex]

Simplify:

[tex]169+169=x^{2}[/tex]

[tex]338=x^{2}[/tex]

Now we can take the square roots of both sides of the equation.

[tex]\sqrt{338}=\sqrt{x^{2}}[/tex]

This is where we come to a bit of a pause. Because the square root of 338 is an irrational constant number, we have to use the unsimplified square root in our answer for the circumference, otherwise, our answer would not be exact.

The diameter of our circle is [tex]\sqrt{338}[/tex], which means that we can use an equation like this to find the circumference:

[tex]\sqrt{338}\pi[/tex]

But since we cannot simplify this any further without it not being exact, we must leave it as is.

A flashlight can light a circular area of up to 6 feet in diameter. What is the maximum area that can be lit? Round to the nearest tenth if needed!

Answers

Answer: 28.3

Step-by-step explanation:

The question is just asking for the area of a circle with a diameter of 6. The equation for that is [tex]A = \pi r^{2[/tex].

Since the Radius (r) is half the diameter, your equation will look like this: [tex]A=\pi 3^2[/tex].

When plugged into a calculator, 28.27443 is the answer. Rounded to the nearest tenth would be 28.3. Hope this helps!

PLEASE HELP (WILL GIVE BRAINLIEST

Answers

Answer:

V = (1/2)(4/3)π(6.5^3) = 575.17 cubic inches

V = (1/2)(4/3)(3.14)(6.5^3) =

574.88 cubic inches

The correct answer is 574.9 cubic inches.

Hurry pls
50pts
Time limit
Tell me the domain and range
Tell me whether the graph is a function or not.
The answer choices are below

Answers

Examining the graph, it can be deduced that the graph is not a function.

the domain is x ≥ -3the range is  all real numbers

What is domain and range?

Domain and range are mathematical notation utilized to define the spectrum of possible accepted input values (domain) as well as the corresponding output values (range) in a given function or relation.

A definitive domain correspondingly denotes the compilations of all plausible inputs that generate a valid result when put essentially into the relation or operation.

Conversely, the range defines the plethora of conceivable outputs that this very same function or relation can devise, considering its specified domain.

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Mia and Lia are competing in a race. 50 people are in the race and medals are given 1st, 2nd, and 3rd place. What is the likelihood that Mia and Lia place in 1st or 2nd?

Answers

The likelihood that Mia and Lia place in 1st or 2nd is unlikely

What is the likelihood that Mia and Lia place in 1st or 2nd?

From the question, we have the following parameters that can be used in our computation:

People = 50

Positions = 1st, 2nd, and 3rd place

The probabilities are

P(1st) = 1/50

P(2nd) = 1/49

Using the above as a guide, we have the following:

P = 1/50 * 1/49

Evaluate

P = 0.00040816326

This value is less than 50%

So, the likelihood is unlikely or less likely

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What is an angle that is adjacent to

Answers

Answer:

<HAG

Step-by-step explanation:
Two angles are adjacent when they have a common side and common vertex, and they do not overlap one another. In this case, <EAG, A is the vertex. <HAG has the same vertex, A, and it shares side AG.

What term refers to the basic characteristics of a population segment such as gender age and income?

Answers

The term that refers to the basic characteristics of a population segment such as gender, age, and income is demographics.

We have,

Demographics refers to statistical data that describes a population and its characteristics, such as age, gender, income, education level, marital status, and other relevant factors.

Demographic information is commonly used by businesses and organizations to analyze consumer behavior, market trends, and patterns in the population.

By understanding the demographics of a particular population segment, businesses can tailor their products and services to better meet the needs and preferences of their target audience.

Demographic information is also used by government agencies and policymakers to allocate resources, plan for future development, and assess the needs of the population.

Thus,

The term that refers to the basic characteristics of a population segment such as gender, age, and income is demographics.

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Two buses leave a station at the same time and travel in opposite directions. One bus travels 8 mih slower than the other. If the two buses are 432 miles apart after 3 hours, what is the rate of each bus?

Answers

The rate of each bus which leave a station at the same time are 76 mi/h and 68 mi/h respectively.

Given that,

Two buses leave a station at the same time and travel in opposite directions.

Let x be the distance travelled by the the first bus in 3 hours.

Then the distance travelled by the other bus in 3 hours = 432 - x

Rate of first bus = x/3 miles per hour

Rate of second bus = (432 - x) / 3 miles per hour

One bus travels 8 mi/h slower than the other bus.

x/3 - (432 - x) / 3 = 8

(x - 432 + x) / 3 = 8

2x - 432 = 24

2x = 456

x = 228

Rate of one bus = 228/3 = 76 mi/h

Rate of second bus = (432 - 228)/3 = 68 mi/h

Hence the rate of each bus are 76 mi/h and 68 mi/h respectively.

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A researcher is interested in how client expectations of success before therapy relate to satisfaction with the sessions afterward. Ratings (on a 1-10 scale) for 10 participants are presented in the table below. This dataset will be used for Questions 1-4. Compute the Pearson r correlation coefficient for these data. Note: Show your work on a separate sheet of paper. You will be asked to upload a scan/picture of your work at the end of the test.

Client Expectations (x) Satisfaction (y)
1 3
1 1
2 3
3 7
3 9
4 5
6 8
6 7
7 10
7 7

Questions:
1.) What is the value of the Pearson correlation coefficient (r)? Please round your answer to 3 decimal places.

2.) What would the critical value (rcrit) be for a 2-tailed test with a .05 alpha level using the Client Expectation-Satisfaction dataset shown in Question 1? (Express your answer to 3 decimal places)

3.) Based on the correlation you calculated in Question 1 and the critical value you identified in Question 2, was the correlation statistically significant (i.e., would you reject the null hypothesis)?

Answers

1. Using the formula for Pearson correlation coefficient, we have:

x y xy x^2 y^2

1 3 3 1 9

1 1 1 1 1

2 3 6 4 9

3 7 21 9 49

3 9 27 9 81

4 5 20 16 25

6 8 48 36 64

6 7 42 36 49

7 10 70 49 100

7 7 49 49 49

n = 10

sum(x) = 40, sum(y) = 53, sum(xy) = 286, sum(x^2) = 214, sum(y^2) = 506

r = [n(sum(xy)) - sum(x)sum(y)] / sqrt{ [n(sum(x^2)) - sum(x)^2][n(sum(y^2)) - sum(y)^2] }

r = [10(286) - (40)(53)] / sqrt{ [10(214) - (40)^2][10(506) - (53)^2] }

r = 0.832 (rounded to 3 decimal places)

2. The critical value (rcrit) for a 2-tailed test with a 0.05 alpha level and 8 degrees of freedom is 0.632 (using a t-distribution table or calculator).

3. The calculated correlation coefficient (r = 0.832) is greater than the critical value (rcrit = 0.632), which means that the correlation is statistically significant. We would reject the null hypothesis and conclude that there is a significant positive correlation between client expectations and satisfaction with therapy sessions.

2. Tell if the number shown is written in scientific notation. If it is, write correct, if incorrect
explain why and correct the mistake.
A. 0.5045 x 10
B. 2.804 x 10"
C. 12.04 x 10

Answers

The number shown is not written in scientific notation because the 10 do not raise to power of any number, and exponential on the second value do not represent a particular power.

What is Scientific notation?

Scientific notation  can be described as the way of writing very large  as well as very small numbers.

It should be noted that the  number is written in scientific notation which is been done as a result of the number falling between 1 and 10 and then this number is been multiplied by a power of 10 instance of this is 6.5 ✕ 10^8, then we can see that none of the given values have the sa,me expresion with this example.

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Coordinate Proof!

Given: Isosceles ∆ABC; M is the midpoint of AC-.
Prove: area ∆ABM = area ∆CBM
Proof

AM = √(x₂ − x₁)² + (y₂-y₁)²
= √(4-0)² + (0-0)²
= √4² = _

BM = √(x2-x₁)² + (1₂-y₁)²
= √(4-4)² + (6-0)2
= √6² = _

AM- ≅ CM- ____
AM = CM ____
CM = 4. Subst.

area ∆ABM

A = 1/2 bh
= 1/2 ___
= ___

area ∆CBM

A = 1/2 bh
= 1/2 ___
= ___

Therefore: Area ∆ABM = area ∆CBM by ___​

Answers

The completed calculation with regards to the area of the congruent triangles can be presented as follows;

The distance formula indicates;

AM = √((x₂ - x₁)² + (y₂ - y₁)²)

Therefore, we get;

AM = √((4 - 0)² + (0 - 0)²) = √(4²)

AM = √(4²) = 4

BM = √((x₂ - x₁)² + (y₂ - y₁)²)

BM = √((4 - 4)² + (6 - 0)²) = √(6²)

BM = √(6²) = 6

AM ≅ CM Definition of the midpoint of AC

AM = CM Definition of congruent segments

CM = 4 Substitution property

Area ΔABM

A = (1/2)·b·h

= (1/2) × 4 × 6

= 12

Area ΔCBM

A = (1/2)·b·h

= (1/2) × 4 × 6

= 12

Therefore Area ΔABM = area ΔCBM by congruence

What are congruent triangles?

Triangles are congruent if they have the same size and shape.

The details of the reasons for the calculation steps and values are presented as follows;

Definition of midpoint of a segment

The midpoint of a line segment is the point that divides the segment into two parts of the same length

Definition of congruence?

Congruence refers to the existence of compatibility or harmony between objects, which in geometry indicates that the two geometric figures have the same measurement

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Consider the sequence {3, 12, 21, 30, 39, 48, 57} What is a5

Answers

The value of the term a5 is 39

Calculating the value of a5

From the question, we have the following parameters that can be used in our computation:

{3, 12, 21, 30, 39, 48, 57}

The expression a5 means the 5th term of the sequence

In {3, 12, 21, 30, 39, 48, 57} , the fifth eterm is 39

Hence, a5 = 39

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Jason is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Jason's test score (out of o) if he got 9 questions wrong? What would be his score if he got a questions wrong?
Score with 9 questions wrong:

Score with x questions wrong:

Answers

The test score for Jason will be 55% for answering 11 questions right.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Jason is taking a multiple-choice test with a total of 20 points available. Each question is worth exactly 1 point.

The test score will be calculated as,

[tex]\text{Test score} =\dfrac{\text{Total questions - wrong answers}}{\text{Total questions}} \times100[/tex]

[tex]\text{Test Score}=\huge \text[\dfrac{(20-9)}{20}\huge \text] \times100[/tex]

[tex]\text{Test Score}=0.55\times100[/tex]

[tex]\text{Test Score}=0.55\%[/tex]

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What are the values of the trigonometric ratios for this triangle?



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Answers

The values of the trigonometric ratios for the given triangle are sinθ = 8/17, cosθ = 15/17 and tanθ = 8/15.

From the given right triangle hypotenuse= 17 units and legs of triangle are 15 units and 8 units.

We know that, sinθ = Opposite/Hypotenuse

sinθ = 8/17

We know that, cosθ = Adjacent/Hypotenuse

cosθ = 15/17

We know that, tanθ = Opposite/Adjacent

tanθ = 8/15

Therefore, the values of the trigonometric ratios for the given triangle are sinθ = 8/17, cosθ = 15/17 and tanθ = 8/15.

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I need help to solve this...

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Answer:

2.38888

Step-by-step explanation:

That's what is says hope this helps

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