The Entertainment Center accumulates the following cost and net realizable value (NRV) data at December 31.
Inventory
Cost
Categories Data
Camera
Camcorders
DVDs
$11,600 $10,100
8,500
8,000
Market
Data
13,500
12,900
What is the lower-of-cost-or-net-realizable-value of the inventory?
Lower-of-cost-or-net-realizable-value $

Answers

Answer 1

The lower-of-cost-or-net-realizable-value of the inventory is $31000.

Define net-realizable-value.

An asset's worth is often assessed using the net realizable value (NRV) approach for inventory accounting. It is discovered by calculating the difference between the asset's anticipated selling price and all of the expenses related to the asset's eventual sale. The cash sum that a corporation anticipates receiving is known as net realizable value (NRV). Consequently, net realizable value is also known as cash realizable value. The terms "net realizable value" and "current assets" are frequently used in relation to inventory and accounts receivable.

Given,

Camera

Cost = 11600

Market value = 10100

(Market value is less. so 10100.)

Camcorders

Cost = 8500

Market value = 8000

( Market value is less so 8000)

DVD

Cost = 13500

Market value = 12900

(Market value is less, so 12900)

the lower-of-cost-or-net-realizable-value of the inventory:

= 10100 + 8000 + 12900

= 31000

The lower-of-cost-or-net-realizable-value of the inventory is $31000.

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Related Questions

Professor Ahmad Shaoki please help me! The length of each side of a square is extended 5 in. The area of the resulting square is 64 in,2 Find the length of a side of the

original square. Help me! From: Jessie

Answers

The length of the original square must be equal to 3 inches.

Length of the Original Square

To find the length of the original square, we have to first assume the unknown length is equal x and then use formula of area of a square to determine it's length.

Since the new length is stretched by 5in, the new length would be.

[tex]l = (x + 5)in[/tex]

The area of a square is given as

[tex]A = l^2[/tex]

But the area is equal 64 squared inches; let's use substitute the value of l into the equation above.

[tex]A = l^2\\l = x + 5\\A = 64\\64 = (x+5)^2\\64 = x^2 + 10x + 25\\x^2 + 10x - 39 = 0\\[/tex]

Solving the quadratic equation above;

[tex]x^2 + 10x - 39 = 0\\x = 3 or x = -13[/tex]

Taking the positive root only, x = 3.

The side length of the original square is equal to 3 inches.

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If there are 78 questions on a test , how many do you have to get correctly to get an 84 % or better on the exam ?

Answers

To answer this question, we have to multiply the number of questions times 0.84 (which is 84% written as a decimal):

[tex]78\cdot0.84=65.52\approx66[/tex]

Yo have to get 66 questions correctly to get an 84% or better on the exam.

Need help figuring out if the following is Real or Complex Question number 10

Answers

Explanation:

We have the expression:

[tex]i^3[/tex]

where i represents the complex number i defined as follows:

[tex]i=\sqrt{-1}[/tex]

To find if i^3 is real or complex, we represent it as follows:

[tex]i^3=i^2\times i[/tex]

And we find the value of i^2 using the definition of i:

[tex]i^2=(\sqrt{-1})^2[/tex]

Since the square root and the power of 2 cancel each other

[tex]\imaginaryI^2=-1[/tex]

And therefore, using this value for i^2, we can now write i^3 as follows:

[tex]\begin{gathered} \imaginaryI^3=\imaginaryI^2\times\imaginaryI \\ \downarrow \\ \imaginaryI^3=(-1)\times\imaginaryI \end{gathered}[/tex]

This simplifies to -i

[tex]\imaginaryI^3=-\imaginaryI^[/tex]

Because -i is still a complex number, that means that i^3 is a complex number.

Answer: Complex

I need to find the length x of KL

Answers

Answer:

3.6

Step-by-step explanation:

We're going to use length DC and ML, along with DA and MJ

[tex]\frac{DC}{ML} = \frac{5}{6}[/tex] which is 0.833333333

now for

[tex]\frac{DA}{MJ} =\frac{7}{8.4}[/tex] which is 0.833333333 (again)

as you can see since the shapes ABCD and JKLM are similar, they have a relationship which in this case is 0.833333333

and we can use this 0.833333333 to help us find the length of KL

knowing that any length for ABCD divided by JKLM is 0.833333333

we can do

[tex]\frac{CB}{LK}=0.833333333[/tex]

since we don't know what KL is, we can switch the spots and enlongate it, to become:

[tex]\frac{CB}{0.833333333} =LK[/tex]

put in the value for CB

[tex]\frac{3}{0.833333333} =LK[/tex]

and we get 3.6

The length of x of KL is...

3.6

Which system of linear equations could be used to determine the price of each book

Answers

Answer:

Let the price of the maths book be m and price of the novel book be n

Given that,

Total cost of the books is $54

The price of math book is $8 more than 3 times the price of novel book.

we get,

The system of equation as,

[tex]\begin{gathered} m+n=54 \\ m=8+3n \end{gathered}[/tex]

Hence the system of equation to determine the price of the maths and novel book is,

[tex]\begin{gathered} m+n=54 \\ m=8+3n \end{gathered}[/tex]

the equation of line u is y=2x+8/9. line v includes the point (7,9) and is parallel to line u. what is the equation of.line v

Answers

The linear equation parallel to line u that passes through (7,9) is y = 2x - 5

How to find the equation of line V?

Two lines are parallel if have the same slope, we know that line V is parallel to:

y = 2x + 8/9

Then line V will be of the form:

y = 2x + c

To find the value of c, we use the fact that the line passes through (7, 9), replacing these values we get:

9 = 2*7 + c

9 = 14 + c

9 - 14 = c

-5 = c

The linear equation is y = 2x - 5

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you started this year with $141 saved and you continue to save $27 per month. Write an equation to model this situation (use m for months and s for savings)

Answers

The money we would have at any time can be modeled as

M = 27k + 141

Why?

you started with $141, so that is the base amount,

every month you add 27 dollars,

in one month you add 27 dollars,

in two months you 27 again making 54 dollars,

so , in x months, you have added 27x dollars to the 141 dollars,

thus our equation is

M = 27k + 141

Evaluate the expression.If x=12, y=8, and z=3x3 + y + z3

Answers

We need to find the value of

[tex]x^3+y+z^3[/tex]

Where x = 12, y = 8, and z = 3

Substitute these values in the expression above

[tex](12)^3+8+(3)^3[/tex]

12^3 = 1728

3^3 = 27

Then

[tex]1728\text{ + 8 + 27 = 1763}[/tex]

The value of the given expression is 1763

A certain marine engine has cylinders that are 5.25 cm in diameter and 5.64 cm deep.Find the total volume of 4 cylinders (to the nearest hundredth). Use 3.14 as the approximate value of

Answers

Given:

A cylinder is given with 5.64 cm deep and 5.25 cm diameter.

Required:

Total volume of 4 cylinders.

Explanation:

Diameter of cylinder d = 5.25 cm

Height of cylinder or deepness of cylinder h = 5.64 cm

Radius r of cylinder is

[tex]r=\frac{d}{2}=\frac{5.25}{2}=2.625\text{ cm}[/tex]

volume of cylinder is

[tex]v=\pi r^2h=3.14*2.625^2*5.64=122.03\text{ cm}^3[/tex]

here we need volume of 4 cylinder

for this we just multiply v with 4

[tex]V=4v=4*122.03=488.121\text{ cm}^3[/tex]

Final Answer:

The volume of 4 cylinder is 488.121 cube cm

For the polynomial below, 1 is a zero.h(x) = x² – 3x? - 2x + 4Express h(x) as a product of linear factors.

Answers

Step 1

Given the zero, 1, we can use synthetic division to acquire the other factors

Using synthetic division we will write out all coefficients of the terms of h(x) and proceed thus

1 | 1 -3 -2 +4

1 -2 -4

-----------------------

1 -2 -4 0

Hence the quadratic equation we will need to split into linear factors is given as

[tex]x^2-2x-4[/tex]

Since the remainder is 0

Step 2

Factorize the quadratic equation above completely

[tex]\begin{gathered} x^2-2x-4=0 \\ we\text{ will use} \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}[/tex]

Where

a= 1

b= -2

c= -4

[tex]\begin{gathered} x=\frac{-(-2)\pm\sqrt[]{(-2)^2-4\times1\times-4}}{2\times1} \\ x=\frac{2\pm\sqrt[]{4+16}}{2} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{2\pm\sqrt[]{20}}{2} \\ x=\frac{2}{2}+\frac{\sqrt[]{20}}{2}=1+\frac{2\sqrt[]{5}}{2}=1+\sqrt[]{5} \\ Or \\ x=\frac{2}{2}-\frac{\sqrt[]{20}}{2}=1-\frac{2\sqrt[]{5}}{2}=1-\sqrt[]{5} \end{gathered}[/tex]

Hence the product of linear factor will be

[tex](x-1)(1+\sqrt[]{5})(1-\sqrt[]{5})[/tex]

Maria jogs 5 laps of a football field that
is 100 m by 50 m. How far does she jog?

Answers

Answer:

1500 m

Step-by-step explanation:

given that the field is 100m by 50m we can find that the perimeter of the field is 300m. if she jogged 300m 5 times she would have jogged 1500m

1) There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. The point (6,47.94) is shown on the graph below. 180 160 140 120 100 cost (dollars) 80 60 (6, 47.94) 40 20 16 18 8 20 22 2. 4 6 10 12 14 time (months)

Answers

Given:

The point which describes the relationship between the months and total amount is, (6, 47.94).

a) To find the constant proportionality:

6 months =47.94

Then, for 1 month,

[tex]\frac{47.94}{6}=7.99[/tex]

Hence, the constant proportionality is $7.99.

b) The constant proportionality tells that, if the month is increased then the cost is also increased by $7.99.

c) To find the three more points and label it:

For the month, m=1, then the cost c=$7.99

For the month, m=2, then the cost c=$15.98

For the month m=3, then the cost c=$23.97

Therefore, the three points are (1, 7.99), (2,15.98) and (3, 23.97).

The graph is,

d) The relationship between the months and the cost is,

C=7.99 m

The period T(In seconds) of a pendulum is given by T=2PI(Square root of L/32) Where L stands for length (in feet) of the pendulum If pi =3.14 and the period is 6.28 what is the length

Answers

Let me check your question

[tex]T\text{ = 2}\cdot\text{ 3.14}\cdot\text{ }\sqrt[]{L/\text{ 32}}[/tex]

[tex]\frac{T}{2\cdot\text{ 3.14}}\text{ = }\sqrt[]{L/\text{ 32}}[/tex]

T= the period = 6.28

[tex]\frac{6.28}{6.28}\text{ = }\sqrt[]{L/\text{ 32}}[/tex]

[tex]L/32=1^2[/tex]

[tex]L=32[/tex]

_________________

Answer

L= 32

A line has slope 3. Through which two points could this line pass? a. (24. 19), (8, 10) b. (10, 8). (16, 0) C. (28, 10). (22, 2) d. (4, 20). (0, 17) Please select the best answer from the choices provided D

Answers

Step 1: Concept

You are going to apply the slope formula to find the slope of the line through each coordinate.

Step 2: Slope formula

[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]

Find an equation of the line.Write the equation in the standard form.Through (8,4); parallel to 7x-y= 2.

Answers

Answer:

7x-y=53

Explanation:

Given the line

[tex]7x-y=2[/tex]

Making y the subject of the equation, we have:

y = 7x-2

Therefore, the slope of the line, m=7

• If two lines are parallel, their slopes are equal.

Therefore, the slope of the parallel line = 7

The equation of the parallel line through (8,4) will then be:

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-4=7(x-8) \\ y-4=7x-57 \\ 7x-y=-4+57 \\ 7x-y=53 \end{gathered}[/tex]

Find the value of variable a given the transformation is an isometry.

Answers

Answer:

• a =10

,

• b = 4

Explanation:

An isometry is a rigid transformation that preserves length and angle measures, as well as perimeter and area.

This means that the two right triangles are congruent.

Thus, we have that:

[tex]\begin{gathered} 3a=30 \\ 10b=40\degree \end{gathered}[/tex]

Next, we solve for a and b.

[tex]\begin{gathered} 3a=30 \\ \text{Divide both sides by 3} \\ \frac{3a}{3}=\frac{30}{3} \\ a=10 \end{gathered}[/tex]

Likewise:

[tex]\begin{gathered} 10b=40\degree \\ \text{Divide both sides by 10} \\ \frac{10b}{10}=\frac{40\degree}{10} \\ b=4 \end{gathered}[/tex]

The values of a and b are 10 and 4 respectively.

What kind of transformation converts the graph of f(x)=(5x+6)^2 into the graph of g(x)=-(5x+6)^2

Answers

In order to get from

[tex]f(x)=(5x+6)^2[/tex]

To

[tex]f(x)=-(5x+6)^2[/tex]

You have to reflect across the x-axis.

Remember that the x-axis is the line with equation

[tex]y=0[/tex]

Answer: Option A

I need help to know how to solve graphing a system of inequalities2x - 3y > -12x + y ≥ -2

Answers

Answer

2x - 3y > -12 (in red ink)

x + y ≥ -2 (in black ink)

The solution region is the region that the two shaded regions have in common.

Explanation

When plotting the graph of linear inequality equations, the first step is to first plot the graph of the straight line normally, using intercepts to generate two points on the linear graph.

If the inequality sign is (< or >), then the line drawn will be a broken line.

If the inequality sign is (≤ or ≥), then the line drawn is an unbroken one.

Step 1

For this question, we easily see that the first inequality will have a broken line and the second one will have an unbroken line.

To plot each of the lines, we will use intercepts to obtain the coordinates of two points on each line

Recall, we will first plot the lines like they are equations of a straight line.

To plot the graph

2x - 3y = -12

when x = 0,

2(0) - 3y = -12

-3y = -12

Divide both sides by -3

(-3y/-3) = (-12/-3)

y = 4

First point on the line is (0, 4)

when y = 0

2x - 3(0) = -12

2x = -12

Divide both sides by 2

(2x/2) = (-12/2)

x = -6

Second point on the line is (-6, 0)

For the second line,

To plot the graph,

x + y = -2

when x = 0

0 + y = -2

y = -2

First point on the line is (0, -2)

when y = 0

x + 0 = -2

x = -2

Second point on the line is (-2, 0)

So, for the plotting, we connect the two points for each of the lines.

Step 2

The shaded region now depends on whether the inequality sign is facing y or not.

If the inequality sign is facing y, it means numbers above the line plotted are the wanted region and the upper part of the graph is shaded.

If the inequality sign is not facing y, it means numbers below the line plotted are the wanted region and the lower part of the graph is shaded.

2x - 3y > -12

Can be rewritten as

-3y > -2x - 12

Divide through by -3 (this changes the inequality sign)

y < (2x/3) + 4

Here, we see that the inequality sign is not facing y, hence the numbers below the broken line plotted are the shaded region (in red ink)

x + y ≥ -2

We can rewrite this as

y ≥ -x - 2

Here, we see that the the inequality sign is facing y, hence, the numbers above the unbroken line plotted are the shaded region (in black ink)

The graph of this system of inequalities is presented above under 'Answer'

Hope this Helps!!!

Try This question out and I’ll give you brainliest no links or I will report you

Answers

Answer: ∠ABD = 19°

Step-by-step explanation:

The angle formed by ABC is a complementary angle. This means the sum of both angles adds up to 90 degrees.

Since angle DBC is 71 degrees, 90 - 71 equals ∠ABD

90 - 71 = 19

Therefore ∠ABD = 19°

Answer:

m∠ABD = 19°

Step-by-step explanation:

Hello!

Recall that all angles of a rectangle are 90° in measure.

Angle B is 90°, and is made up of angles ABD and DBC.

We know the measure of angle DBC, it's given as 71°. We can find the measure of ABD by subtracting 71° from 90°.

Find ABDABC = ABD + DBC90 = ABD + 7119 = ABD

So the measure of angle ABD is 19°.

3) Describe what ALL graphs of proportional relationships have in common

Answers

SOLUTION

What all graphs of proportional relationships have in common is a straight line.

This line is straight, no curves or bends. This straight line passes through the origin at an intersection of

[tex](0,0)[/tex]

Hence, the answer is "A straight line that passes through the origin and goes at a constant rate".

quadrilateral WXYZ is reflected across the line y=x to create quadrilateral W’X’Y’Z'. What are the coordinates of quadrilateral W’X’Y’Z'.

Answers

Explanation

We are required to determine the coordinates of W’X’Y’Z' when WXYZ is reflected across the line y = x.

This is achieved thus:

From the image, we can deduce the following:

[tex]\begin{gathered} W(-7,3) \\ X(-5,6) \\ Y(-3,7) \\ Z(-2,3) \end{gathered}[/tex]

We know that the following reflection rules exist:

Therefore, we have:

[tex]\begin{gathered} (x,y)\to(y,x) \\ W(-7,3)\to W^{\prime}(3,-7) \\ X(-5,6)\to X^{\prime}(6,-5) \\ Y(-3,7)\to Y^{\prime}(7,-3) \\ Z(-2,3)\to Z^{\prime}(3,-2) \end{gathered}[/tex]

Hence, the answers are:

[tex]\begin{gathered} \begin{equation*} W^{\prime}(3,-7) \end{equation*} \\ \begin{equation*} X^{\prime}(6,-5) \end{equation*} \\ \begin{equation*} Y^{\prime}(7,-3) \end{equation*} \\ \begin{equation*} Z^{\prime}(3,-2) \end{equation*} \end{gathered}[/tex]

This is shown in the graph bwlow for further undertanding:

which of the following are the coordinates of point B on the directed line segment AC, such that AB is 1/5 of AC?

Answers

Answer:

The coordinates of point B is;

[tex](5,-7)[/tex]

Explanation:

Given the attached image;

The coordinate of point A is;

[tex](8,-8)[/tex]

The coordinate of point C is;

[tex](-7,-3)[/tex]

If AB is 1/5 of AC;

[tex]\Delta x_{AB}=\frac{1}{5}(\Delta x_{AC})_{}_{}_{}_{}_{}_{}[/tex]

So; let (x,y) represent the coordinates of B;

[tex]\begin{gathered} (8-x)=\frac{1}{5}(8-(-7)) \\ 8-x=\frac{1}{5}(15) \\ 8-x=3 \\ x=8-3 \\ x=5 \end{gathered}[/tex]

The same applies to y coordinate;

[tex]\Delta y_{AB}=\frac{1}{5}(\Delta y_{AC})_{}[/tex]

So;

[tex]\begin{gathered} (-8-y)=\frac{1}{5}(-8-(-3)) \\ -8-y=\frac{1}{5}(-8+3) \\ -8-y=\frac{1}{5}(-5) \\ -8-y=-1 \\ y=-8+1 \\ y=-7 \end{gathered}[/tex]

Therefore, the coordinates of point B is;

[tex](5,-7)[/tex]

Bell Ringer -- Find the distance of each side of the triangle: A(-10, 6) B(-6, 9) C(-6, 6)

Answers

Answer:

It is c) (-6, 6)

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.y²-3y - 18/y²-9y + 18Rational expression in lowest terms:Variable restrictions for the original expression: y

Answers

Given: The expression below

[tex]\frac{y^2-3y-18}{y^2-9y+18}[/tex]

To Determine: The lowest term of the given rational fraction

Solution

Let simplify both the numerator and the denominator

[tex]\begin{gathered} Numerator:y^2-3y-18 \\ y^2-3y-18=y^2-6y+3y-18 \\ y^2-3y-18=y(y-6)+3(y-6) \\ y^2-3y-18=(y-6)(y+3) \end{gathered}[/tex][tex]\begin{gathered} Denominator:y^2-9y+18 \\ y^2-9y+18=y^2-3y-6y+18 \\ y^2-9y+18=y(y-3)-6(y-3) \\ y^2-9y+18=(y-3)(y-6) \end{gathered}[/tex]

Therefore

[tex]\begin{gathered} \frac{y^2-3y-18}{y^2-9y+18}=\frac{(y-6)(y+3)}{(y-3)(y-6)} \\ y-6-is\text{ common} \\ \frac{y^{2}-3y-18}{y^{2}-9y+18}=\frac{(y-6)(y+3)}{(y-3)(y-6)} \\ \frac{y^{2}-3y-18}{y^{2}-9y+18}=\frac{y+3}{y-3} \end{gathered}[/tex]

Hence, the rational expression in its lowest term is

[tex]\frac{y+3}{y-3}[/tex]

The variable for the original expression is as given as

[tex]\begin{gathered} \frac{y^{2}-3y-18}{y^{2}-9y+18}=\frac{(y-6)(y+3)}{(y-3)(y-6)} \\ y\ne3,y\ne6 \end{gathered}[/tex]

Quadrilateral ABCD with vertices A(0,7) B(1,3), C(-1,-4), and D(-5,1): <7,-3>

Answers

We will have the following:

2)

A(0, 7) : <7, -3>

[tex]A^{\prime}(7,4)[/tex]

B(1, 3) : <7, -3>

[tex]B^{\prime}(8,0)[/tex]

C(-1, -4) : <7, -3>

[tex]C^{\prime}(6,-7)[/tex]

D(-5, 1) : <7, -3>

[tex]D^{\prime}(2,-2)[/tex]

3)

From the graph we will have the following:

a.

[tex](x,y)\to(x+7,y+5)[/tex]

b.

[tex]\langle7,5\rangle[/tex]

***Explanation***

For point 2, we will simply apply the vector to the corresponding coordinates, that is:

We have the coordinates:

[tex]A(a,b)[/tex]

and the vector:

[tex]\langle c,d\rangle[/tex]

So, in order to determine the final image we will have to follow the transformation rule:

[tex]A^{\prime}(a+c,b+d)[/tex]

*For point 3, we will simply count the number of units the image has moved to the left or rigth and that will be our transformation rule for the x-axis, and the number of units the image has moved up or down and that will be our transformation rule for the y-axis.

In the case of the problem, the images moved 7 units to the rigth (+7) and then moved 5 units up (+5), so the transformation rule in coordinate notation is given by:

[tex](x,y)\to(x+7,y+5)[/tex]

And in order to write it in vector notation, we simply write the units the images move:

[tex]\langle7,5\rangle[/tex]

Find the variance for the set of data: 22, 26, 17, 20, 20.The variance is

Answers

The variance of a given data set with size N is given by the formula:

[tex]\begin{gathered} \sigma=\sqrt{\frac{1}{N}\sum_{i=1}^N(x_i-\mu)^2} \\ Var(X)=\sigma^2 \end{gathered}[/tex]

Then, for the data set {22, 26, 17, 20, 20} and N = 5, we have:

[tex]\begin{gathered} \mu=\frac{22+26+17+20+20}{5}=21 \\ \sigma=\sqrt{\frac{1^2+5^2+(-4)^2+(-1)^2+(-1)^2}{5}}=\sqrt{\frac{44}{5}}=2\sqrt{\frac{11}{5}} \\ \therefore Var(X)=\frac{44}{5}=8.8 \end{gathered}[/tex]

use the graph to complete the ordered pair solution (0,_) for f.

Answers

we must look the value of the graph when x=0

the graph trought x=0 when y=-1 so, the point is

[tex](0,-1)[/tex]

Select all the true statements about this graph A. The graph is nonlinearB. The function increases at the same rateC. The rate decreases after x = 2.D. The graph is a functionE. The graph is increasing in two intervals.SELECT ALL ANSWER CHOICES THATS RIGHT

Answers

In the graph the points are connected by the straight lines, so graph is linear graph. In nonlinear graph the points are connected by the curve. So option A is incorrect.

The slope of the line changes after x=2. The inclination of line with positive x axis is different before and after x=2. So the function not increases at same rate. Then option B is incorrect.

The rate is given by the slope of line. The inclination of line with positive x axis increase after x=2, so rate increases not decreases. Then option C is incorrect.

The graph of a straight line is function or not a function can be inspected by vertical line test.

If we draw a vertical line, then the vertical line intersect the line only once, so the graph is function. Option D is correct.

The value of y increases with increase in value of x but increase in value of y with x is different for two lines. So graph is increasing in two intervals. Option E is also correct.

Thus option D and E is only true for given graph.

Find the measures of the sine and cosine of the following triangles

Answers

Explanation:

Let x be the side opposite to angle 62 degrees

Let y be the adjacent angle.

The sine of the angle is given as follows:

[tex]\begin{gathered} \sin62=\frac{Opposite}{Hypotenuse}=\frac{x}{10} \\ \end{gathered}[/tex]

The cosine is given as:

[tex]\cos62=\frac{Adjacent}{Hypotenuse}=\frac{y}{10}[/tex]

polygon wxyz has vertices W( 1, 5 ), X( 6, 5), Y( 6, 10), and Z(1, 10)

If w' x' y' z' is a dilation of wxyz with scale factor 5, give the coordinates of w' x' y' z'

Answers

The coordinates of W'X'Y'Z' are W'(5, 25), X'(30, 25), Y'(30, 60) and Z'(5, 10) respectively.

Given that, polygon WXYZ has vertices W( 1, 5 ), X( 6, 5), Y( 6, 10), and Z(1, 10).

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

We know that, scale factor = Dimension of the new shape ÷ Dimension of the original shape

Dimension of the original shape W'= 5(1, 5) = (5, 25)

X' =5(6, 5) = (30, 25)

Y' =5(6, 10) = (30, 60)

Z' =5(1, 10) = (5, 10)

Therefore, the coordinates of W'X'Y'Z' are W'(5, 25), X'(30, 25), Y'(30, 60) and Z'(5, 10) respectively.

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