The set of points (-3, 4), (-1, 1), (-3,-2), and (-5,1) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
parallelogram
please help

The Set Of Points (-3, 4), (-1, 1), (-3,-2), And (-5,1) Identifies The Vertices Of A Quadrilateral. Which

Answers

Answer 1

Answer:

Option (4). Rhombus

Step-by-step explanation:

From the figure attached,

Distance AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

                     = [tex]\sqrt{(1-4)^2+(-5+3)^2}[/tex]

                     = [tex]\sqrt{(-3)^2+(-2)^2}[/tex]

                     = [tex]\sqrt{13}[/tex]

Distance BC = [tex]\sqrt{(4-1)^2+(-3+1)^2}[/tex]

                     = [tex]\sqrt{9+4}[/tex]

                     = [tex]\sqrt{13}[/tex]

Distance CD = [tex]\sqrt{(-2-1)^2+(-3+1)^2}[/tex]

                     = [tex]\sqrt{9+4}[/tex]

                     = [tex]\sqrt{13}[/tex]

Distance AD = [tex]\sqrt{(1+2)^2+(-5+3)^2}[/tex]

                     = [tex]\sqrt{9+4}[/tex]

                     = [tex]\sqrt{13}[/tex]

Slope of AB ([tex]m_{1}[/tex]) = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                           = [tex]\frac{4-1}{-3+5}[/tex]

                           = [tex]\frac{3}{2}[/tex]

Slope of BC ([tex]m_{2}[/tex]) = [tex]\frac{4-1}{-3+1}[/tex]

                            = [tex]-\frac{3}{2}[/tex]

If AB and BC are perpendicular then,

[tex]m_{1}\times m_{2}=-1[/tex]

But it's not true.

[[tex]m_{1}\times m_{2}=(\frac{3}{2})(-\frac{3}{2})[/tex] = -[tex]\frac{9}{4}[/tex]]

It shows that the consecutive sides of the quadrilateral are not perpendicular.

Therefore, ABCD is neither square nor a rectangle.

Slope of diagonal BD = [tex]\frac{4+2}{-3+3}[/tex]

                                    = Not defined (parallel to y-axis)

Slope of diagonal AC = [tex]\frac{1-1}{-1+5}[/tex]

                                    = 0 [parallel to x-axis]

Therefore, both the diagonals AC and BD will be perpendicular.

And the quadrilateral formed by the given points will be a rhombus.


Related Questions

Un fabricante de carteras de la marca "C&L" vende cada cartera a su distribuidor argentino al precio de (230 - q) soles si la cantidad q es menor que 210. Si el costo unitario de cada cartera es S / 20 y el monto de los costos fijos a S / 2,000. A. Determine las ecuaciones de ingreso y costo total para el fabricante al producir y vender carteras q. Si. Determine la ecuación de utilidad del fabricante al vender q unidades de carteras. C. ¿Cuántas carteras se distribuirán, si la ganancia obtenida es de 1800 soles, sabiendo que es mayor que 50? D concentración

Answers

Answer:

A. 101 × q / 2000 S

B. Ingresos totales de q unidades = 230 · q - q²

Costo total para producir q unidades = 101 × q / 2000 S

C. 222 carteras

Step-by-step explanation:

A. Ingresos totales = q × (230 - q) = 230 · q - q²

El costo unitario = S / 20

El costo fijo = S / 2000

Costo total para producir q unidades = q × (S / 20 + S / 2000) = 101 × q / 2000 S

B. Las ganancias totales = Ingresos totales- Costo total

Las ganancias totales = 230 · q - q² - 101 · q / 2000

Las ganancias totales = 229.9495 · q - q²

C, cuando las ganancias obtenidas = 1800 soles, tenemos;

1800 = 229.9495 · q - q²

q² -229.9495 + 1800 = 0

(q - 8.114) × (q - 221.84) = 0

Por lo tanto, q = 8.114 o q = 221.84

Por lo tanto, sabemos que q> 50, por lo tanto, el valor correcto de q = 221.84 o 222 carteras.

√125 x √5 is equal to a) 50 b) 250 c) 25

Answers

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

Solve the inequality. |3x + 6| x > 2 C. –2 < x < 2 D. –6 < x < 2

Answers

Answer:

-6 < x < 2

Step-by-step explanation:

hope this helps :)

Select correct answer pls^^

Answers

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

1st question I want to solve

Answers

Answer:

34.64

Step-by-step explanation:

take tan value and solve the triangle

Please explain how you can find the circumference (perimeter) of a circle given its area.

Answers

Answer:

You have 2 equations:

One for area: A = πr²

One for circumference: C = 2πr

If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.

When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.

Step-by-step explanation:

The figure is made up of two cones and a cylinder. Both cones and the cylinder have a 10 mm diameter. What is the exact volume of this figure? What is the volume of this figure? 250πmm³ 400πmm³ 625πmm³ 2500πmm³ Two 15 millimeter high cones with 10 millimeter diameters are connected to each other at their vertices. A 15 millimeter high cylinder with a diameter of 10 millimeters is connected to the cone on the right.

Answers

Answer:

625πmm³

Step-by-step explanation:

The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.

Volume of a cone = 1/3πr²h

r is the radius of the cone

h is the height of the cone

Since the cone are 15mm high, their individual height = 15mm

Diameter = 10mm, radius = 5mm

Volume of a cone = 1/3× π × 5²×15

Volume of a cone = 1/3 × π × 25 × 15

Volume of a cone = 125πmm³

Volume of both cones = 2(125π) = 250πmm³

Volume of a cylinder = πr²h

Height of the cylinder = 15mm

Radius of the cylinder = 5mm

Volume of the cylinder = π(5)²×15

Volume of the cylinder = 375πmm³

Volume of the composite solid = volume of the two cones + volume of cylinder.

= 250πmm³+375πmm³

= 625πmm³

Answer: 625pimm^3

Step-by-step explanation:

What is the midpoint of the line segment with endpoints (-5.5,-6.1) and (-0.5,9.1)

Answers

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

A two digit number less than 30 is written down at random. What is the probability that it Will be a prime number?

Answers

Answer:

there are 20 2 digit numbers less than 30.

out of all of them 6 are prime

then there is only a 6/20 chance that it will be a prime number, or a 30% chance.

the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.

To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.

The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.

Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 5 / 29

Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.

Learn more about probability here

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Quien me ayuda
(((2) ³) ²) ⁰
((((-3) ²) ²) ³) ⁰

Answers

Answer:

la respuesta a ambos es 1 porque si elevas cualquier numero a un exponente de 0 este queda en 1

Can someone please help me with this?

Answers

Answer:

First option is the correct answer

Second option is the correct answer

Step-by-step explanation:

Five added to a number, then divides by two equals eight

[tex] \frac{x+5}{2} = 8[/tex]

Three added to one fourth of a number gives seven.

[tex] \frac{1}{4} x+3= 7[/tex]

Answer:

Step-by-step explanation:

1) option A

Let the number be x

Five added to a number = x +5

Then divided by 2 :    [tex]\frac{x+5}{2}[/tex]

Equation:

[tex]\frac{x+5}{2}=8[/tex]

2) option B

one fourth of a number: (1/4)x

Three added to one fourth of a number : [tex]\frac{1}{4}x+3[/tex]

Equation:

[tex]\frac{1}{4}x+3=7[/tex]

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V=πr2h

Answers

Answer:

72π

Step-by-step explanation:

To solve this, we just have to find the volume of the cylinder.

We know the formula for the volume of a cylinder is V=πr^2h as given.

That said, we can plug our values in.

V=π3^2(8)

Simplify.

V=π9*8

V=72π

It needs 72π cubic inches of water.

This is also equivalent to around 226.19 cubic inches of water.

Please give me the answer

Answers

Answer:

the median increases by 0

Step-by-step explanation:

what's meep + meep + meep + meep ? i'm having a hard time with this

Answers

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

Find the measure of angle x in the figure below:

Answers

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

one tennis club charges $30 per session to play tennis.another tennis club charges an annual fee of $48 plus $22

Answers

Answer: Dear Stella, I love you

Step-by-step explanation:

I've loved you ever since the first time I saw you but I was too much of a coward to express this love. and if you report this i understand... because it means you dont love me back and that will be okay because I will just jerc off to you changing in your bedroom. thats right i watch you cause I love you.

Can someone help me :(

Answers

Answer:

The answer is B. Two Foci, hope this helps! :)

Answer:

center of focus

Step-by-step explanation:

i hope this help "whole lotta love" NUNU

With this diagram, what could be the values of c and d?

Math item stem image
CLEAR CHECK

c=4.2,d=−12

c=−5,d=−84

c=−15,d=11

c=7,d=−54

Answers

The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

How to determine the values of c and d?

The complete question is added as an attachment

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

d = integers

c = rational numbers

Integers are numbers without decimal and rational numbers can be expressed as fractions

Using the above as a guide, we have the following possible values

c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

Read more about numbers at

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Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta

Answers

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

Please answer this question immediately ...I need help pls

Answers

Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

pls anwers the question pls it has pictures as well pls pls pls pls pls pls pls

Answers

Answer:

a = $80.3

b = $80

c = 4

d = 16

e = 4

f = 88

g = $132

h = 33%

i = 6

j = 30

k = 21

l = $90

m = $36

o = 21/50

p = 105

q = 7

r = 8 cm

s = 2.4

t = 4

u = 400cm

v = $280

Step-by-step Explanation:

==>Increasing $72 by 10% to get a

a = 110% of $72 = 110% × $73

a = 1.1 × 73

a = $80.3

==>a ($80.3) rounded to the nearest 10 to find b = $80

b = $80

==>Writing b (80) as the product of its primes I.e.

[tex]b = 2^{c} * 5[/tex]

Thus, 80 = 2⁴ * 5

c = 4

==>Calculating c² = d

d = 4² = 16

d = 16

==> ²/8 of d = e

e = ²/8 × 16

e = 2 × 2

e = 4

==> e% of 2200 = f

f = 4% × 2200

f = 0.04 × 2200

f = 88

==>Converting £f to $ = g

If £1 = $1.5,

£88 = $g

1 × g = 1.5 × 88

g = $132

==> Converting [tex]\frac{g}{400}[/tex] into % = h%

h = 132÷400 ×100

h = 0.33 × 100

h = 33%

==> √(h + 3) = i

i = √(33 + 3)

i = √36

i = 6

==> i × (3 + 2) = j

j = 6 × (3 + 2)

j = 6 × 5

j = 30

==> j% of 70 = k

k = j% × 70

k = 30% × 70

k = 0.3 × 70

k = 21

==> If k bottles = $63, 30 bottles = $l

21 bottles = $63

30 bottles = $l

21 × l = 63 × 30

21l = 1,890

l = 1,890/21

l = $90

==>If Tim and Mike (m) shares $90 in the ratio 3:2, Mike (m) would receive thus:

⅖ × $90 = m

m = 0.4 × 90

m = $36

==> √m + m = n

n = √36 + 36

n = 6 + 36

n = 42

==>Converting n% to fraction = o

Thus, o = 42/100

o = 21/50

==> o of 250 = p

p = 21/50 × 250

p = (21 × 250)/50

p = 21 × 5

p = 105

==> expressing p as a product of its primes i.e. p = 3 × 5 × q

105 = 3 × 5 × 7

Therefore, q = 7

==> Given a rectangle with dimensions of q cm and r cm, with an area of 56cm². Let's find r.

Area of rectangle = length × width = q × r

Area = 56 cm²

q = 7 cm

r = ?

56 = 7 × r

56/7 = r

8 = r

r = 8 cm

==> r × 0.3 = s

s = 8 × 0.3

s = 2.4

==> s ÷ 0.6 = t

t = 2.4 ÷ 0.6

t = 4

==> If t is in meters, converting t to cm will give us u

Since 1m = 100cm

4m = u cm

1 × u = 100 × 4

u = 400cm

==> Vikki (v) and John shares $u in the ratio 7:3. Thus, Vikki (v) would receive the following:

v = ⁷/10 × $400

v = 0.7 × 400

v = $280

What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer. Law of sines: answers- 1. 1.9 units 2. 4.7 units 3. 5.0 units 4. 5.7 units

Answers

Answer:

[tex]\boxed{\text{2. 4.7 units}}[/tex]

Step-by-step explanation:

Assume your triangle has the dimensions shown below.

Before we can use the Law of Sines, we must find ∠C.

1. Calculate ∠C

[tex]\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}[/tex]

2. Calculate b

Use the Law of Sines

[tex]\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}[/tex]

b) Work out the probability that a player
will select a red ball.

Answers

Answer:

The probability is equal to the number of times you chose the red ball out of the total balls.

A rectangular prism has a top face with an area of 20 ft2 and a height of 5 ft. What is the volume of this rectangular prism? This is a 5th grade Question

Answers

Answer:

the volume of the rectangular prism is 100 ft³  

Step-by-step explanation:

Given;

area of top face of a rectangular prism, A = 20 ft²

height of the rectangular prism, h = 5 ft

Volume of the rectangular prism =  Area of top face x height of the rectangular prism

Volume of the rectangular prism = A x h

Volume of the rectangular prism = 20 ft² x  5 ft

                                                       = 100 ft³

Therefore, the volume of the rectangular prism is 100 ft³                                      

First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?

Answers

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

Answer:

My starting number is 5

Step-by-step explanation:

Let's denote your number is a

We have:

Adding 1 => a + 1

Multiplying by 2 => (a + 1) x 2

Dividing by 3 => (a + 1) x 2/3

The final number is 4 => (a + 1) x 2/3 = 4

Now, we are going to work out a

Dividing both sides by 2/3:

(a + 1) x (2/3)/(2/3) = 4/(2/3)

then, we have:

(a + 1) x 1 = 4 x 3/2

then, we have:

a + 1 = 12/2

or

a + 1 = 6

=> a = 6 - 1 = 5

Hope this helps!

is the fraction 6 1/2 equal to 73?

Answers

Answer:

No 6 1/2 is 6.5, which is not 73

Step-by-step explanation:

Answer:

no, 6+1/2 equals 6'5

if you mean 6*1/2, it still doesn't equal 73 but 3

Step-by-step explanation:


Three shops, Sainzbiri, Morrizan and Ko-op sell the same brand of washing powder but in different size boxes.
Calculate the price of 1 kg of washing powder for each shop.
Give your answers in pence.
Write which shop is better value in the comment box.


Answers

Answer:

Ko-op is better

Step-by-step explanation:

1

£2.58/3= 86 p

2

£4.25/5= 85 p

3

£6.72/8= 84 p

Last one Ko-op is better

find the area for the figure (square and circle)

Answers

Answer:

257 square m

Step-by-step explanation:

Area of the figure

= Area of square + Area of semicircle

[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]

Answer:

257 square meters

Step-by-step explanation:

i just took the test

-18/-32/41/8/-11 from least to greatest

Answers

Answer:

The answer is -32, -18, -11, 8, 41.

Step-by-step explanation:

For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )

For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

 

The maximum point on the graph of the equation
y = f(x) is (2,-3). What is the maximum point on
the graph of the equation y=f(x-4)?

Answers

Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

The maximum point on the graph after translation y = f( x -4) is (6 , -3)

What is translation of a graph?

Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .

Horizontal translation to the left is given by f (x+ c) ,c >0

: (x, y) → (x- c , y)

Horizontal translation to the right is given by f (x- c) ,c >0

: (x, y) → (x+ c , y)

Given that the maximum point on the graph of the equation

y = f(x) is (2,-3)

To find the maximum point on the graph of the equation y = f(x-4)

f(x -4) is Horizontal Translation to the right with 4 units , c= 4

then  (x, y) → (x+ c , y)

Thus the maximum point (2,-3) is moved to ( 2 +c , -3)

⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)

Therefore, the maximum point of the graph of the equation  y = f(x-4) becomes (6,-3)

Also, Learn more abut translation of graphs from the link below:

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Why are covalent substances gases and liquid rather than solids? Determining a Number of SolutionsQuickCheckDetermine whether the systems have one solution, no solution, or infinitely many solutions.3x - 2y = 3; 6x - 4y = 1One SolutionNo SolutionInfinitely Many Solutions3x - 5y = 8,5x - 3y = 23x + 2y = 8; 4x + 3y = 13x - y = 3; 2x - 4y = 23x - 4y = 2, 6x - y = 1IntroDone A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of theculture 6 days after inoculation? Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave a bus to Barton every 20 minutes A bus to Acton and a bus to Barton both leave the bus station at 9:00am When will a bus to Acton and a bus to Barton next leave the bus station at the same time? Solve for x: 3 < x + 3 < 6 What is the dependent variable for "how does changing your laundry detergent affect how clean your clothes are?" Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.A.) 0B.) 4C) 2D.) 26.7 The area of a sector of a circle with a radius measuring 15 cm is 235.62 cm^2 . What is the measure of the central angle, to the nearest degree that forms the sector? I need help pleassseee Read this dialogue between a parent and child:Dad: "Sam, please finish your chores before you go out with your friends."Sam: "I will."Dad: "Come back here and answer me again, with more respect, please."What is the likely reason Sam's dad responds to her as he does?Sam's verbal cues are rude.Sam's dad is already angry.Sam's nonverbal cues are rude.Sam's dad is not listening.SUBMIT ANSWERASK FOR HELP use substitution method 3x +4y+175x-2y=11 Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed? 1 2 8 10 Which is only active during a specific immune response?O A. LysozymesO B. NeutrophilsO C. MacrophagesO D. B cellsHelp me please how u answer this? 8(u-4)+3=43 help me pls :(((((((((( Evaluate 16x^0 if x= -3 4. What is Card Stacking? What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j? Alpha Industries is considering a project with an initial cost of $8.6 million. The project will produce cash inflows of $2.04 million per year for 6 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 5.79 percent and a cost of equity of 11.39 percent. The debtequity ratio is .66 and the tax rate is 35 percent. What is the net present value of the project? Multiple Choice $656,266 $625,015 $758,352 $506,837 $729,185 A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What arethe total distance and total displacement of the boat?OA. The total distance is 105 kilometers and the total displacement is 45 kilometers east.OB. The total distance is 60 kilometers and the total displacement is 60 kilometers east.OC. The total distance is 105 kilometers and the total displacement is 15 kilometers east.OD. The total distance is 60 kilometers and the total displacement is 45 kilometers east.