Kim is building a triangular dog pen. She will use an existing 10 m wall as one side. She will then build a fence going out at a 45°
angle on one side of the wall and a 65° angle on the other side. How much chain-link fence is needed to complete the fence?
es )

Answers

Answer 1
The correct answer would 27.2 m
Answer 2

Answer:

  17.2 ft

Step-by-step explanation:

The angle that the fence makes opposite the wall is ...

  180° -45° -65° = 70°

The law of cosines can be used to find the lengths of fence needed.

The fence opposite the 45° angle will have a length of ...

  short side = (10 ft)·sin(45°)/sin(70°) = 7.525 . . . feet

The fence opposite the 65° angle will have a length of ...

  long side = (10 ft)·sin(65°)/sin(70°) = 9.645 . . . feet

Then the total length of fence required is ...

  7.525 ft +9.645 ft = 17.170 ft

About 17.2 feet of chain-link fence is required to complete the enclosure.

_____

We have assumed there is no chain-link fence along the 10 ft wall.

_____

The Law of Sines tells you that for sides a, b, c and opposite angles A, B, C, you have ...

  a/sin(A) = b/sin(B) = c/sin(C)

For some given side 'a' and opposite angle A, the other two sides can be found from their opposite angles as ...

  b = sin(B)·a/sin(A)

  c = sin(C)·a/sin(A)

Kim Is Building A Triangular Dog Pen. She Will Use An Existing 10 M Wall As One Side. She Will Then Build

Related Questions

Jenny is baking 56 cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 56 will fit inside of the container. Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.

Answers

Answer:

Part A: 5 inches³.

Part B: 302 inches³.

Part C: Yes. Explanation below.

Step-by-step explanation:

Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.

In this case, the h = 1 inch and r = 1.25 inches.

pi * 1.25^2 * 1

= pi * 1.5625

= 3.14 * 1.5625

= 4.90625.

So, the volume of a single cookie sandwich is about 5 inches³.

Part B: As stated before, the volume of a cylinder is pi * r^2 * h.

In this case, the r = 4.5 inches, and the h = 4.75 inches.

pi * 4.5^2 * 4.75

= 3.14 * 20.25 * 4.75

= 63.585 * 4.75

= 302.02875.

So, the volume of the food storage container is about 302 inches³.

Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.

Hope this helps!

Answer:

Part A: 5 inches^3

Part B: 302 inches^3

Part C: Yes, Jenny will be able to transport all the cookie sandwiches in the food container. This is because there are 56 cookie sandwiches and they each have a volume of 5 cubic inches. So, 56 times 5 equals 280 cubic inches of space. There are 302 cubic inches inside the container, so all the cookie sandwiches will fit inside.

Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.

Answers

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

It’s d=(-infinity,-2) and r=(3, plus infinity) :) hope this helped

0 3C = n
Use the data in the table to give an equation to represent the proportional relation
ship.
X Y
0.5 7
1. 14
1.5 21
2 28

y = 14x
y = 7x
7y = x
21y = x

Answers

Answer:

[tex]\huge \boxed{y=14x}}[/tex]

Step-by-step explanation:

x=0.5, y=7

x=1, y=14

x=1.5, y=21

x= 2, y=28

Let’s take the first equation.

y = 14x

y = 14(0.5) = 7

When x is 0.5, y is 7.

y = 14(1) = 14

When x is 1, y is 14.

y = 14(1.5) = 21

When x is 1.5, y is 21.

y = 14(2) = 28

When x is 2, y is 28.

y=14x i hope this helped you

Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6)

Answers

Answer:

Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:

Step-by-step explanation:

The Solution for the linear equation is ( 6, -7)

What is Linear Equation?

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.

Given:

2x + y = 5.......................(1)

and, 3x + 2y = 4....................(2)

Multiply the equation (1) by 2 we get

4x + 2y = 10 ....................(3)

Solving Equation (2) and (3), we get

  3x  +  2y  = 4      

  4x  +  2y  = 10

-         -           -

_____________

    -x = -6

      x= 6

and, y= 5- 2x = 5-2(6) = -7

Hence, the solution is (6, -7)

Learn more about linear equation here:

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4. EF is the median of trapezoid ABCD.
B
X +12
с
E
4x-18
F
3x-4
A
Part I: Solve for x. Show your work. (4 points)

Answers

Answer:

x = 11

BC = 23

AD = 29

EF = 26

Step-by-step explanation:

Given:

Trapezoid ABCD, having,

median = EF = 4x - 18

base BC = x + 12

base AD = 3x - 4

Required:

Part I: value of x

Part II: Length of BC, AD, and EF.

Solution:

Part I: Value of X

The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.

Therefore, EF = ½(BC + AD)

4x - 18 = ½((x + 12) + (3x - 4)

4x - 18 = ½(x + 12 + 3x - 4)

4x - 18 = ½(x + 3x +12 - 4)

4x - 18 = ½(4x + 8)

Multiply 2 by both sides

2(4x - 18) = 4x + 8

8x - 36 = 4x + 8

Add 36 to both sides

8x - 36 + 36 = 4x + 8 + 36

8x = 4x + 44

Subtract 4x from both sides

8x - 4x = 4x + 44 - 4x

4x = 44

Divide both sides by 4

x = 11

Part II:

BC = x + 12 = 11 + 12 = 23

AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29

EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26

According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass m
that moves in an acceleration a is equal to m . a
An object whose mass in 80 grams has an acceleration of 20 meters per seconds square.
What calculation will give us the sum of the forces that act on the object, in Newtons (which are
kg.m/s2)?

Choose 1 answer.
A 80 . 20
B 80 . 1000 . 20
C 80/1000 . 20
D 80/602. 20

Answers

Answer: 80/1000 • 20

Answer:

Screenshots attached! Hope it helps :)

Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?

Vertex (1,3),maximum
Vertex (3,1) minimum
Vertex (1,3),minimum
Vertex (3,1) maximum

Answers

(3, 1) minimum

It is a minimum because it is at the bottom, whereas a maximum would be at the top. The coordinates are read off the graph to find the point.

Answer:

Vertex (3,1) minimum

Step-by-step explanation:

Hello, I attached a graph with two examples where you can see the Vertex and when this is a minimum vs maximum.

You can see in your graph that the vertex is the point (3,1) and this is a minimum.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?

Answers

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Find the value of a. A. 52 B. 26 C. 104 D. 93.5

Answers

Answer:

Option (A)

Step-by-step explanation:

To find the value of 'a' we will use the tangent-chord theorem,

"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"

Angle 'a' is formed between the chord and the tangent.

Measure of the intercepted arc = (2 × 52)°

Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]

a = 52°

Therefore, Option (A) will be the correct option.

It’s a because it is in obtuse angle and obtuse angels are the largest angles

What are all of the real roots of the following polynomial? f(x) = x^4 - x^3 - 13x^2 + x + 12
a) -1 and 1
b) -3, -1, 1, and 3
c) -3 and 3
d) -3, -1, 1, and 4

Answers

Answer:

1,-1,4,-3 so D

Step-by-step explanation:

0 = x^4 - x^3 -13x^2 + x + 12

x = 1,-1,4,-3

The final answer is -3,-1,1 and 4

What is the relation between roots and the biquadratic equation?

The biquadratic equation is of the form ax⁴+bx³+cx²+dx+e and hence

The sum of roots is -b/a, the sum of the product of two roots is c/a, the sum of the product of three roots is -d/a, and the product of all four roots is e/a.

Solving the given problem

There is no specific method of solving a biquadratic equation, hence we use the trial and error method and also some form of the root.

So finding f(1) = 1-1-13+1+12 = 0 hence 1 is a root.

finding f(-1) = 1-(-1)-13-1+12 = 0 hence -1 is also a root.

So let other roots be p,q

Now we can use sum of roots formula which is p+q+1-1= 1, hence p+q=1

product of roots p*q*1*-1=12, pq= -12 substituting p = -12/q

-12/q+q = 1, multiplying q on both sides

q²-12=q, q²-q-12=0, q²-4q+3q-12 = 0, q(q-4q)+3(q-4)=0

(q-4)(q+3) = 0 hence the roots are 4,-3 also

Hence 1,-1,4, and -3 are the roots of the equation.

Learn more about the Biquadratic equation here

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Which graph shows Point P as (–5,6) and Point Q as (3,–4)?

Answers

Answer:

The third graph from the left.

Step-by-step explanation:

The points are located on the graph that was given below. Then the correct option is C.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points are given below.

P(5, 6) and Q(3, -4)

Point P is located by moving 5 units towards the left and 6 units upwards.

Point Q is located by moving 3 units towards the right and 4 units downwards.

The points are located on the graph that was given below.

Then the correct option is C.

More about the coordinate geometry link is given below.

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$12,800 at 12% for 3 years find the total amount ?

Answers

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

17,408 is the amount

(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.

Answers

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

Answer:

5.3589 or 5.36

Step-by-step explanation:

tan (15) = x / 20

x = 40 - 34.64

x = 5.36

1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.

Answers

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

what are the four different ways to solve a quadratic equation? When would you prefer to use each method?

Answers

Answer:

4

Step-by-step explanation:

factoring , using square roots , completing the square and the quadratic formular

Answer:

See below.

Step-by-step explanation:

The four main ways to solve a quadratic equation are:

1) Factoring, 2) Completing the Square, 3) Graphing, and 4) Quadratic Formula.

Each method has it's own pros and cons.

1) Factoring. You should factor when the given equation is easily factor-able or already factored. For instance:

[tex]0=x^2-4x-12\\0=(x+7)(x-1)[/tex]

These problems are easily factored so factoring is preferred here. However, factoring will not always work.

2) Completing the Square. You complete the square if you are able to complete the perfect square trinomial with only integers. For instance:

[tex]x^2-2x-7=0\\(x^2-2x+1)-7-1=0\\(x-2)^2-8=0[/tex]

However, you wound't use completing the square if:

[tex]x^2-3x+2=0\\(x^2-3x+9/4)+2-9/4=0[/tex]

The perfect square trinomial includes fractions so you would use alternative methods here (and factoring works here!).

Despite the complexity of completing the square, if done correctly, it works every time. However, sometimes, it can be time-consuming.

3) Graphing. Graphing (if on paper) is time-consuming. You would only use graphing when you only need an approximation. Unless directed to, you probably won't need to use graphing.

However, if you have a graphing calculator, graphing the equation can allow you to check your answer. So, graphing won't get you precise answer, but it will allow you to check your answer is necessary.

4) Quadratic Formula. Use the quadratic formula if the equation isn't factor-able and completing the square is too tedious. For instance:

[tex]4.1x^2-3x-7=0\\[/tex]

This doesn't seem factor-able and completing the square will take a while. Graphing won't get the exact answer, so the quadratic formula is the only avenue left.

The quadratic method, like completing the square, will always work.

Only con is that you need to memorize the formula.

How do I determine if -3x+y =8 is a function?

Answers

Answer- To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.

NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?

Answers

Answer:

Bottom right.

Step-by-step explanation:

The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Answers

The right question is:

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Answer:

[tex]x = 6[/tex]

[tex]y = -2[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Required

Solve for x and y

Make y the subject of formula in the second equation

[tex]y = 28 - 5x[/tex]

Substitute [tex]y = 28 - 5x[/tex] in the first equation

[tex]\frac{1}{2}x - 3(28 - 5x) = 9[/tex]

Open the bracket

[tex]\frac{1}{2}x - 3*28 - 3*- 5x = 9[/tex]

[tex]\frac{1}{2}x - 84 + 15x = 9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x + 15x = 9+ 84[/tex]

[tex]\frac{x}{2} + 15x = 9+ 84[/tex]

[tex]\frac{x+30x}{2} = 93[/tex]

[tex]\frac{31x}{2} = 93[/tex]

Multiply both sides by 2

[tex]2 * \frac{31x}{2} = 93 * 2[/tex]

[tex]31x = 186[/tex]

Divide both sides by 31

[tex]\frac{31x}{31} = \frac{186}{31}[/tex]

[tex]x = \frac{186}{31}[/tex]

[tex]x = 6[/tex]

Recall that [tex]y = 28 - 5x[/tex]

So;

[tex]y = 28 - 5 * 6[/tex]

[tex]y = 28 - 30[/tex]

[tex]y = -2[/tex]

Hence;

[tex]x = 6[/tex] and [tex]y = -2[/tex]

the answer to the question is x=6 and y=-2

3. The ratio of boys to girls in the 9th grade is 7 to 8. There are 304 girls. How many boys are there?
266 boys
243 boys
303 boys
347 boys

Answers

Answer: 266 boys
Because there are 304 girls we do 304/8=38 now we do 38 multiplied by 7 (as that is the ratio for the number of boys) 38*7=266 boys
Hope this helped
266
Because
304/8 is 38 then multiply it by 7
Equation:

(304/8) x 7 = 266

Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100

Answers

Answer:

D. 100°

Step-by-step explanation:

Refer to picture attached

Lines QP and QR are tangent to radius of circle.

Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.

So as per sum of angles in right triangle, we have:

1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°

Then:

mPR(arc)= (100x)°= 100*1°= 100°

Correct answer choice is D. 100°

I THINK IT’S “D.100” because of how it angled

write the formula used to find length when the breadth height and volume are known........breadth when the length height and volume are known............ height when the breadth length and volume are known ..............Please answer this as fast as possible my homework is due tommorow

Answers

Answer: L = V/bh

b= V/Lh and h= V/Lb

Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is

Volume = Length × breadth × height

The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.

When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.

Your answer will be fine

Which expression can be used to convert 100 USD to Japanese yen?

wo competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

Answers

Not quite sure what you’re asking for but i can offer a couple(and by that i mean two) “answers” depending on what you need.

Usd>Yen~1->.009
Gym B costs 50%less

If the question is trying to compare hours to usd then Gym A is the most accurate representation of USD to Yen

$9.75 I think thats right

if
[tex] log_{x} \: a \: + log_{x} \: \frac{1}{a} = t[/tex]
what is the possible value of t?​

Answers

Answer:

t= 0

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

[tex]log_{b}[/tex] 1 = 0

Given

[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then

[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t

[tex]log_{x}[/tex] 1 = t , thus

t = 0

I’m pretty sure the answer is t=0

Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
A-Slider for Shape A
B-Slider for Shape B

Answers

Answer:

the answer would be shape b

Answer:

B

Step-by-step explanation:

Find the surface area and volume of the following figures.

Answers

White figure Area = 128[tex]\pi[/tex]

White surface area = appro. 301

Yellow area = 320[tex]\pi[/tex]

Yellow Surface area = approx. 653

Area found with = 2πrh+2πr2

Surface Area found with = 2πrh+2πr2

You need to memorize them for tests

Hope that helped!!! k

There a hinded message Jeff

Use the model below to find the area of the shaded region.

Answers

Answer:4/12

Step1- 3 times 4 is 12

Step2- count how many twelvths are shaded

Step3- 4 twelvths are shaded

Answer: 4/12

Answer:

C. 1/3 square yard

Step-by-step explanation:

Given:

The length of shaded area = 2/3 yardThe width of shaded area = 2/4 yard

To find:

The area of shaded region

Solution:

The shaded region is a rectangle. Area of a rectangle is the product of the length and width:

Area = 2/3 yard * 2/4 yard = 1/3 square yard

Answer choice: C. 1/3 square yard

write 0.895 with 95 repeating on and on as a simplified fraction
PLZ HELP WILL GIVE BRANLIEST

Answers

Answer:

887/990

Step-by-step explanation:

0.8959595....

895.95 - 8.95 = 887

1000 - 10 = 990

Answer:

[tex]\huge\boxed{x = \frac{887}{990}}[/tex]

Step-by-step explanation:

The number given is 0.895..........

Let x = 0.895........

Then

10x = 8.95.......   --------(1)

1000x = 985.95........   --------(2)

Subtracting (1) from (2)

1000x - 10x = 985.95..... - 8.95......

990 x = 887

Dividing both sides by 990

[tex]x = \frac{887}{990}[/tex]   (In simplest form)

what is (7*7*7*7*7*7) * (7*7) in exponential form? ​

Answers

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

There are four points on a line: A, B, C and D, so that AB=1, BC=2, CD=4. Find the length of segment AD .Consider all possibilities and draw a picture for each one of them.

Answers

Answer:

The answer is 7

Length of all the the three segments is equal to the length of the line segment AD

AB (1)+BC (2)+CD (4)= 7
So AD would equal 7

Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere (half a sphere and boundary) that contains 4 points.

Answers

4 4 6 8 is the answer to this question
Other Questions
Which of the following describes the Mycenaean civilization? Multiple Choice burial of rulers in giant beehives construction of gigantic fortifications on the Greek mainland war with Troy that forms the setting for both the Iliad and the Odyssey All these answers are correct. fill in the blanks in the following story with the appropriate forms of the verbs or adjectives in parentheses. note that you will need to turn the adjectives in parentheses into adverbs and to conjugate the verbs in the present progressive or present subjunctive tense. pay attention to clues that will help you choose the correct tense. martha y juan ______ (hacer) un trabajo para la clase de historia. ellos _____ (investigar) la guerra civil. los dos trabajan ____ (cuidado), proque quieren sacar buenas notas. pero dudan de que ______ (poder) entregar el trabajo manana. yo no creo que la maestra lo _____ (aceptar) el lunes Identify the manipulated variable and the responding variable in this experiment. Explain your reasoning #3: Directions: Read the paragraph and answer the question. (1) Female astronauts, lawyers, and legislators are examples of the increasing number of women in leadership roles today. (2) Margaret Thatcher, Maya Angelou, Janet Reno, and Rita Moreno achieved great success in their fields. (3) In developing nations, women are particularly needed because much work must be done. (4) The contributions of women are essential in the process of finding solutions to the worlds problems. Select the correct answer. Which numbered sentence is the topic sentence? A. 1 B. 2 C. 3 D. 4 En la vida real, actuamos en forma "pura", escogiendo entre autonoma y heteronoma, entre libertad y necesidad, entre heteromorfismo y heteronomismo? A company purchased a tract of land for its natural resources at a cost of $1,500,000. It expects to mine 2,000,000 tons of ore from this land. The salvage value of the land is expected to be $250,000. If 150,000 tons of ore are mined during the first year, the journal entry to record the depletion is:_______.a. Debit Depletion Expense $93,750; credit Natural Resources $93,750.b. Debit Cash $112,500; credit Natural Resources $112,500.c. Debit Depletion Expense $93,750; credit Accumulated Depletion $93,750.d. Debit Cash $93,750; credit Accumulated Depletion $93,750.e. Debit Depletion Expense $112,500; credit Accumulated Depletion $112,500. In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8 Please answer this question now The complex ion Fe(CN)63- is paramagnetic with one unpaired electron. The complex ion Fe(SCN)63- has five unpaired electrons. Where does SCN- lie in the spectrochemical series with respect to CN-? Divide a 7-inch line into three parts so that each part is 1 inch longer than one before it. PLEASE HELP! (3/4) - 50 POINTS - Which of the following applies most generally to supply in the long run? Group of answer choices All original producers will leave the market. Producers are only able to make change in their variable factors of production. Average total cost must decline. Producers are able to make change in all their factors of production. A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play? J. Ross and Sons Inc. has a target capital structure that calls for 40 percent debt, 10 percent preferred stock, and 50 percent common equity. Ross' common stock currently sells for $40 per share. The firm recently paid a dividend of $2 per share on its common stock, and investors expect the dividend to grow indefinitely at a constant rate of 10 percent per year. J. Ross's cost of retained earnings is closest to: why does Nepal is under developed in the field of science and technology Which response includes all the following processes that are accompanied by an increase in entropy? 1) 2SO 2(g) + O 2(g) SO 3(g) 2) H 2O(l) H 2O(s) 3) Br 2(l) Br 2(g) 4) H 2O 2(l) H 2O(l) + 1/ 2O 2(g) You are given an annuity-immediate paying 10 for 10 years, then decreasing by one per year for nine years and paying one per year thereafter, forever. The annual effective rate of interest is 4%. Calculate the present value of this annuity. Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour? use order operation A force of pounds makes an angle of with a second force. The resultant of the two forces makes an angle of to the first force. Find the magnitudes of the second force and of the resultant.