Find the perimeter and area of the regular polygon with the given consecutive vertices. Round to the nearest tenth, if necessary.

pentagon A B C D E ; A(1,4), B(3,1)

Answers

Answer 1

The perimeter of the pentagon is:

\(AB + BC + CD + DE + EA = \sqrt{(10)} + \sqrt{(25)} + \sqrt{(13)} + \sqrt{(5)} + 6 = 23.1\)

To find the perimeter and area of a regular polygon, we need to know the number of sides, the length of each side, and the apothem, which is the distance from the center of the polygon to the midpoint of a side. However, in this problem, we are not given enough information to determine whether the polygon is regular or not.

Instead, we can find the perimeter and area of the pentagon with the given vertices using the distance formula to find the length of each side, and then using the formula for the area of a polygon:

Perimeter:

To find the length of each side, we can use the distance formula:

\(AB = \sqrt{((3-1)^2 + (1-4)^2)} = \sqrt{(10)\)

\(BC = \sqrt{((0-3)^2 + (5-1)^2)} = \sqrt{(25)\)

\(CD = \sqrt{((2-0)^2 + (8-5)^2)} = \sqrt{(13)\)

\(DE = \sqrt{((1-2)^2 + (10-8)^2)} = \sqrt{(5)\)

\(EA = \sqrt{((1-1)^2 + (4-10)^2) }= 6\)

Therefore, the perimeter of the pentagon is:

\(AB + BC + CD + DE + EA = \sqrt{(10)} + \sqrt{(25)} + \sqrt{(13)} + \sqrt{(5)} + 6 = 23.1\)

Area:

To find the area of the pentagon, we can divide it into five triangles and then use the formula for the area of a triangle:

Area of triangle ABC = (1/2) * AB * h1, where h1 is the perpendicular distance from C to line AB.

Area of triangle BCD = (1/2) * BC * h2, where h2 is the perpendicular distance from E to line BC.

Area of triangle CDE = (1/2) * CD * h3, where h3 is the perpendicular distance from A to line CD.

Area of triangle DEA = (1/2) * DE * h4, where h4 is the perpendicular distance from B to line DE.

Area of triangle EAB = (1/2) * EA * h5, where h5 is the perpendicular distance from C to line EA.

To find each height, we can use the formula for the distance from a point to a line:

\(h1 = |(2-1)(1-4) - (3-1)(0-4)| / \sqrt{((2-1)^2 + (3-1)^2)} = \sqrt{(10)} / 2\)

\(h2 = |(4-1)(3-1) - (3-1)(5-1)| / \sqrt{((4-1)^2 + (3-1)^2) }= \sqrt{(13)} / 2\)

\(h3 = |(4-2)(4-5) - (1-2)(8-5)| / \sqrt{((4-2)^2 + (8-5)^2)} = \sqrt{(5)} / 2\)

\(h4 = |(8-10)(1-8) - (2-1)(10-8)| / \sqrt{((8-10)^2 + (2-1)^2) }= \sqrt{(13)} / 2\)

\(h5 = |(4-1)(4-10) - (1-1)(5-4)| / \sqrt{((4-1)^2 + (5-1)^2)} = 3 \sqrt{(10)} / 2\)

Therefore, the area of the pentagon is:

Area = Area of triangle ABC + Area of triangle BCD + Area of triangle CDE + Area of triangle DEA + Area of triangle EAB

\(= (1/2) * \sqrt{(10)} * (\sqrt{(13)}/2) + (1/2) * \sqrt{(25)} * (\sqrt{(13)}/2) + (1/2) * \sqrt{(13)} * (\sqrt{(5)}/2) + (1/2) * \sqrt{(5)} * (\sqrt{(13)}/2) + (1/2) * 6 * (3 \sqrt{(10)}/2)\)

≈ 27.5

Therefore, the approximate perimeter of the pentagon is 23.1 units, and the approximate area of the pentagon is 27.5 square units.

Learn more about "perimeter and area of a regular polygon" : https://brainly.com/question/3571561

#SPJ11


Related Questions

In a standard deck of cards, P(heart)

Answers

Answer:

13/52 (0.25) (25%)

Explanation:

There are 52 cards in a standard deck and there are four suits.

52/4 = 13

So, the probability (assuming that’s what you are asking for) is a 13/52 chance you will pull a hearts card.

Answer:

1/4

Step-by-step explanation:

probabillty of hearts. deck of cards is 52 there are 13 hearts so its 13/52 or 1/4

What is the interest practice of combining campaign contributions from several sources into one larger contribution from the group, so as to increase the groups impact on the candidate

Answers

The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.

Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.

This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.

Learn more about decision-making here:

https://brainly.com/question/28900762

#SPJ11

When the genetic material was first being isolated and studied, there was a controversy about it being protein or DNA. Those that backed protein as the genetic material almost got it's right. Explain. What was the connection between the two molecules that was missed

Answers

According to the information we can infer that the connection between proteins and DNA that was missed during the controversy was the role of DNA as the carrier of genetic information, while proteins played a crucial role in executing the instructions encoded in DNA.

What was the connection between the two molecules that was missed?

During the early stages of studying genetic material, there was a controversy between proteins and DNA as the carrier of genetic information. Those who supported proteins overlooked the crucial role of DNA in carrying genetic instructions. In 1944, an experiment demonstrated that DNA, not proteins, transmitted genetic information.

The overlooked connection was that DNA carries instructions for building proteins. DNA's specific nucleotide sequences encode the information needed to synthesize proteins, which fold into functional structures. While proteins exhibit complexity and diversity, it is DNA that serves as the blueprint for building proteins and carrying genetic information.

Learn more about DNA in: https://brainly.com/question/30006059
#SPJ4

6x+2y-3z=-17
7x-5y+z=72
2x+8y+3z=-21

Answers

Answer:

what exacly are you trying to figure out

Step-by-step explanation:

If P = (-3,-2) and Q = (1, 6) are the endpoints of the diameter of a circle, find the equation of the circle.


(x +?)^2 + (y - ?)^2 = ?

Answers

Answer:

(x+1)²+(y-2)²= 20

Step-by-step explanation:

P = (-3,-2)

Q = (1, 6)

Center (h, k)

C = ((-3+1)/2 , (-2+6)/2)

C = (-2/2 , 4/2)

C = (-1 , 2)

Radius = Distance from the center to point Q

R = √((1-(-1))² + (6-(2))²)

R = √((2)² + (4)²)

R = √(4+ 16)

R = √20

Equation

(x-h)²+(y-k)²= R²

(x-(-1))²+(y-2)²= (√20)²

(x+1)²+(y-2)²= 20

If P = (-3,-2) and Q = (1, 6) are the endpoints of the diameter of a circle, find the equation of the

tell weather 9(w−9) −2 = −7 + 7(w−8) is one soultion no solution or infinty solution

Answers

Answer:

One Solution

Step-by-step explanation:

Calculating  9(w−9) −2 = −7 + 7(w−8)
is on paper is w = 10.

Hope this helps you! :))
Please let me know if its incorrect

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−8
x=4
Choose the correct answer below.
A.
Perpendicular
B.
Neither
C.
Parallel

Answers

Answer:

A. Perpendicular

Step-by-step explanation:

**I recommend going to desmos; desmos is a graphing calculator and is super useful!

What is the height, to the nearest tenth of a foot, of a tree that creates a 35-foot shadow when the sun is at an angle of elevation of 35⁰? (do NOT type in units, just the value)

Answers

The height of the tree is approximately 20.1 feet.

What is the height of a tree that produces a 35-foot shadow when the sun is at an angle of 35 degrees?

To determine the height of the tree, we can use the tangent function, which relates the opposite side (the height of the tree) to the adjacent side (the length of the shadow) of a right triangle.

tan(35°) = height of tree / 35 feet shadow

Rearranging this formula, we get:

height of tree = 35 feet shadow x tan(35°)

Plugging in the given values and using a calculator, we get:

height of tree = 35 x tan(35°) ≈ 20.1 feet

Therefore, the height of the tree is approximately 20.1 feet.

Learn more about  tangent function

brainly.com/question/30034780

#SPJ11

Solve dy/dx = xy, y(0) = 2. Find the interval, on which the solution is defined.

Answers

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X

Answers

Answer:

x = 13

Step-by-step explanation:

When we say side AB is congruent to Side AC it means both side are the same.

This is written Mathematically as:

AB = AC

We are asked to find x

angle B = 5x +9 , angle C = 8x-30

5x + 9 = 8x - 30

Collect like terms

9 + 30 = 8x - 5x

8x - 5x = 30 + 9

3x = 39

Divide both sides by 3

x = 39/3

x = 13

Which of the following expressions does not represent “half of three times a quantity b”?
A. 2/3b
B. 0.5(3b)
C. 3/2b
D. 1.5b

Answers

A does not represent half of three times a quantity b

2/3b

Jorge tiene que viajar de Cancún a Tijuana realizando escala en el D.F. De Cancún salen 2 vuelos diferentes al D.F. Y del D.F. Salen 6 vuelos diferentes. ¿Cuál es el total de combinaciones que puede elegir Jorge?

Answers

Answer:

12.

Step-by-step explanation:

Dado que Jorge tiene que viajar de Cancún a Tijuana realizando escala en el D.F., y de Cancún salen 2 vuelos diferentes al D.F. mientras que del D.F. salen 6 vuelos diferentes hacia Tijuana, para determinar cuál es el total de combinaciones que Jorge puede elegir se debe realizar el siguiente cálculo:

2 x 6 = X

12 = X

Así, Jorge puede realizar 12 combinaciones diferentes para elegir sus vuelos.

A DMM in ABC stock on the NYSE is approached at the same time by a floor broker who wishes to buy ABC stock at the market and another floor broker who wishes to sell ABC stock at the market. The DMM buys the stock from the floor broker who wants to sell; and then immediately sells that stock for $.01 more to the floor broker who wants to buy. This is an example of:

Answers

The DMM buys the stock from the floor broker who wants to sell; and then immediately sells that stock for $.01 more to the floor broker who wants to buy. This is an example of scalping or trading ahead.

Designated Market Maker (DMM) on the New York Stock Exchange (NYSE), the DMM has certain obligations and responsibilities to maintain fair and orderly markets for the stocks they oversee. They are expected to provide liquidity by facilitating trades and maintaining an orderly market.

However, in the scenario you provided, the DMM takes advantage of the situation by executing a trade with a floor broker who wants to sell ABC stock and immediately selling it to another floor broker who wants to buy at a slightly higher price. By doing so, the DMM profits from the price difference, earning an extra $.01 per share.

This practice goes against the principles of fair and orderly markets, as the DMM is essentially prioritizing their own profit over providing fair execution prices for buyers and sellers. It can be considered unethical and may be subject to regulatory scrutiny or penalties, as it undermines the integrity and fairness of the market.

To know more about stock click here :

https://brainly.com/question/32077505

#SPJ4

Describe the distribution of streak lengths. What is the typical streak length for this?

Answers

We can see that the distribution of Kobe Bryant's distribution is somewhat similar to that of the distribution of streak lengths for the simulated shooter. The distribution of Kobe Bryant's is fewer longer compared to streak lengths. Using the comparison, I found no evidence that the hot hand model fits shooting patterns because if the hot hand model is held for Kobe,I could have more length of Kobe but in this case, the length is only up to 4

A streak length of 1 means a hit followed by a miss.

3 hits in one run and he has 6 misses. The calc_streak user-defined function loaded with the

data can be used to calculate the length of all shooting streaks and examine their distribution.

Learn more about distribution  here: https://brainly.com/question/12892403

#SPJ4

Describe the distribution of streak lengths. What is the typical streak length for this?
Describe the distribution of streak lengths. What is the typical streak length for this?
Describe the distribution of streak lengths. What is the typical streak length for this?

At charles school, 15 of the 75 students in seventh grade play in the jazz band. How many seventh graders play in the jazz band?.

Answers

The jazz band has 15 seventh graders playing according to the ratio.

What is the ratio?

A ratio, which is a number, is a way to represent one quantity as a portion of another. A ratio can only be compared when the two numbers in it have the same unit. To compare two objects, ratios are utilized.

Given One fifth of the 75 seventh graders at Charles School participate in the jazz band.

Presented as a ratio

75 pupils, or 1/5 of them, participate in the jazz band.

75 pupils out of the total play in the jazz band.

15 kids in total participate in the jazz band.

15 seventh graders are therefore playing in the jazz band in accordance with the ratio.

Hence, The jazz band has 15 seventh graders playing according to the ratio.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ4

Taylor has 16 crayons, 12 markers, 8 pencils, and 4 pens in his locker. What is the ratio of markers to total items in Taylor’s locker?

Answers

Answer:

3:7

Step-by-step explanation:

12:28

6:14

3:7

brainliest please

Please help trying to answer it can be with or without step with step

Please help trying to answer it can be with or without step with step

Answers

a) 7x (x is a variable so it does not change)
b) (3a-a)+(4b+2b) = 2a+6b
c) 3bd+(5d+2d)+(-2b-b) = 3bd+7d-3b
d) -2ac-c+(4ab+3ab) = -2ac-c+7ab
e) (6a+8a)+(1+5) = 14a+6
f) (14x+12x)+(6-8) = 26x-2
g) (7b+3b)-(3+2) = 10b-5
h) (3j+8j)-(-4+6) = 11j-2
i) (-4g-6g)-(-5-12) —> (-10g)-(-17) = -10g+17

Carl stands 2. 47m from a tree. The angle of elevation to the tree is 34. 7

Answers

The height of the tree is approximately 1.68 meters. Note that this calculation assumes that Carl is standing directly on level ground and that his eye level is at the same height as the base of the tree. If these assumptions are not true, the calculation may not be accurate.

To solve this problem, we can use trigonometry. Let's assume that the height of the tree is represented by "h". Then, we can set up the following equation:

tan(34.7) = h / 2.47

We can then solve for "h" by multiplying both sides by 2.47:

h = tan(34.7) * 2.47

h ≈ 1.68 meters

Therefore, the height of the tree is approximately 1.68 meters. Note that this calculation assumes that Carl is standing directly on level ground and that his eye level is at the same height as the base of the tree. If these assumptions are not true, the calculation may not be accurate.

Learn more about  height from

https://brainly.com/question/73194

#SPJ11

Which of the following is an advantage of a lossless compression algorithm over a lossy compression algorithm

Answers

A lossless compression algorithm preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

A lossless compression algorithm is a type of data compression algorithm that preserves all of the original data without any loss. This means that when the original data is uncompressed, it is exactly the same as when it was compressed. On the other hand, a lossy compression algorithm is a type of data compression algorithm that discards some of the original data in order to reduce the size of the file. This means that when the original data is uncompressed, it may not be exactly the same as when it was compressed.

The advantage of a lossless compression algorithm over a lossy compression algorithm is that it preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

Learn more about algorithm here

https://brainly.com/question/29289479

#SPJ4

HELP ME FOR BRAINETEST

HELP ME FOR BRAINETEST

Answers

Answer:

1 7/8

Step-by-step explanation:

The answer is 1 7/8.

The equation A equals P equals quantity 1 plus 0.05 over 4 end quantity all raised to the power of 4 times t represents the amount of money earned on a compound interest savings account with an annual interest rate of 5% compounded quarterly. If after 15 years the amount in the account is $12,065.51, what is the value of the principal investment? Round the answer to the nearest hundredths place.

$5,725.90
$6,339.61
$10,014.53
$11,481.12

Answers

The value of the principal investment is given as follows:

$5,725.90.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

The parameters for this problem are given as follows:

t = 15, A(t) = 12065.51, r = 0.05, n = 4.

Hence the principal can be obtained as follows:

P(1 + 0.05/4)^(4 x 15) = 12065.51

2.1072P = 12065.51

P = 12065.51/2.1072

P = $5,725.90

More can be learned about compound interest at https://brainly.com/question/24274034

#SPJ1

what is x (its a parralleligram)

what is x (its a parralleligram)

Answers

Check the picture below.

what is x (its a parralleligram)

Suppose that some consumer's preference, using a Cobb-Douglas utility function U, where U: U(b, c) =b ^50 c^50 . Assuming that the consumer is able to buy $84 on two goods, b and c, where P b =6, and Pc = 7 1. Find the most - preferred, affordable bundle 2. Define the income expansion point 2. Consumer preferences are characterized axiomatically. These axioms of consumer choice give formal mathematical expression to fundamental aspects of consumer behavior and attitudes towards the objects of choice. Explain the axioms of consumer choice and present them in terms of binary relations.

Answers

The most-preferred, affordable bundle can be found by maximizing the utility function subject to the budget constraint.

How can we find the most-preferred, affordable bundle?

To find the most-preferred, affordable bundle, we need to maximize the utility function U(b, c) = b^50 * c^50 subject to the budget constraint. The budget constraint can be expressed as P_b * b + P_c * c = I, where P_b and P_c are the prices of goods b and c respectively, and I is the consumer's income.

In this case, P_b = 6, P_c = 7, and the consumer's income is $84. We can substitute these values into the budget constraint and rearrange it to solve for one variable in terms of the other. For example, we can solve for b in terms of c or vice versa.

Once we have the relationship between b and c, we can substitute it into the utility function and maximize it to find the combination of b and c that gives the highest utility. This will give us the most-preferred bundle that is affordable.

Learn more about most-preferred

brainly.com/question/32404465

#SPJ11

Hi! Can somebody pls explain to me how to do one of these problems pls......
will give brainliest lol

Hi! Can somebody pls explain to me how to do one of these problems pls......will give brainliest lol

Answers

1. Y = -3x
2. Y = -2
3. Y= x + 2
4. Y = 2/3x -1

Answer:

1. Y = -3x

2. Y = -2

3. Y= x + 2

4. Y = 2/3x -1

I HAVE A FELLING

i inserted a picture of the question 6, i can give you the answer to the previous question if it helps

i inserted a picture of the question 6, i can give you the answer to the previous question if it helps

Answers

For

\(w^2-3w=350\)

To be a perfect square trinomial, we need to find a such that

\(\begin{gathered} (w-a)^2=w^2-3w+b \\ b\to\text{constant} \end{gathered}\)

Thus,

\((w-a)^2=w^2-2aw+a^2\)

Then,

\(\begin{gathered} \Rightarrow w^2-2aw+a^2=w^2-3w+b \\ \Rightarrow-2a=-3 \\ \Rightarrow a=\frac{3}{2} \end{gathered}\)

Furthermore,

\(\begin{gathered} \Rightarrow a^2=b \\ \Rightarrow\frac{9}{4}=b \\ \end{gathered}\)

We need to add 9/4 to both sides of the equation, resulting in

\(\begin{gathered} w^2-3w+\frac{9}{4}=350+\frac{9}{4} \\ \Rightarrow(w-\frac{3}{2})^2=\frac{1409}{4} \end{gathered}\)

(-8) • 2/3 = I dont know and yea I'm confused lol

Answers

\(\begin{gathered} (-8)\text{ . }\frac{2}{3} \\ \\ =\text{ (-8) x }\frac{2}{3} \\ =\text{ }\frac{-8\text{ x 2}}{3} \\ =\text{ }\frac{-16}{3} \\ \\ \text{The dot mean multiplication.} \end{gathered}\)

The ellipse x^2/2^2 + y^2/4^2 = 1
can be drawn with parametric equations. Assume the curve is traced clockwise as the parameter increases. If x = 2 cos(t) then y = __

Answers

The parametric equations for the ellipse x^2/2^2 + y^2/4^2 = 1, traced clockwise as the parameter increases, are:
x = 2cos(t)
y = -2sin(t)

To find the corresponding y-value for a given x-value on the ellipse, we can rearrange the equation:

x^2/2^2 + y^2/4^2 = 1
y^2/4^2 = 1 - x^2/2^2
y^2 = 4^2(1 - x^2/2^2)
y = ±2sqrt(1 - x^2/2^2)

Since the curve is traced clockwise as the parameter t increases, we can set x = 2cos(t) and y = -2sqrt(1 - x^2/2^2) to trace the lower half of the ellipse:

x = 2cos(t)
y = -2sqrt(1 - (2cos(t))^2/2^2)
y = -2sqrt(1 - cos^2(t))

Using the identity sin^2(t) + cos^2(t) = 1, we can solve for sin(t):

sin^2(t) = 1 - cos^2(t)
sin(t) = ±sqrt(1 - cos^2(t))

Since we want the negative value to trace the lower half of the ellipse, we have:
y = -2sin(t)

Therefore, the parametric equations for the ellipse x^2/2^2 + y^2/4^2 = 1, traced clockwise as the parameter increases, are:
x = 2cos(t)
y = -2sin(t)

Know more about parametric equations here:

https://brainly.com/question/30451972

#SPJ11

A coast guard ship patrols an area of 125 square miles . The area the ship patrols is a square . About how long is each side of the square round to nearest mile ! PLEASE HELP

Answers

Answer:

11

Step-by-step explanation:

If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve \(\sqrt{125}\) which is 11.1803...When you round that number, you get 11.

What is the multiplication sentence for the following diagram?

What is the multiplication sentence for the following diagram?

Answers

Answer:

welllllllll thats is the confusion diagram

Noah’s soccer team played 12 games and won 10 of these. The ratio is 10:2 what is the percentage of the game won?

Answers

83%. knskskltntbtntmelapwl
Other Questions
The descending pathway controls sensory functions. begins in the spinal cord and ends in the brain. is only involved with involuntary muscle movements. consists of upper and lower motor neurons. consists of neurons located completely within the spinal cord. During gait analysis, a therapist notes that a patient is lurching backward during stance phase. What is the cause of this compensatory motion? 1 Welfare-enhancing tariffs (50 points) Tariffs never make small countries better off, but there are cases where they can make a large country better off. Draw side-by-side graphs for a good (call it forgot how to do this help plzzz By the time he (arrived) of the pub, they(run) out of beer The following information is for Blue Sky National Bank: Interest income $2,200 Interest expense $1,400 Total assets $45,000 Securities losses or gains $21 Earning assets $40,000 Total liabilities $38 In may cafe mocha raised their price for each cup of coffee $2.25 how much money did cafe mocha earn from their coffee of the month of may? 5. What is the relationship between global winds and global ocean currents? a. The pattern of global winds is one of the factors that drives global ocean currents. b. The pattern of global ocean currents is one of the factors that drives global winds. c. Both are caused by heat from the sun, and they do not affect each other. d. Both are caused by Earth's rotation, and they do not affect each other. Which property is used in the following expression ? 8(2 + 7) = 16 + 56 misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade? How were the American colonies influenced by the Iroquois Nation? A. The colonies decided to use the common Iroquois language to communicate. B. The colonies saw the power of the Iroquois Confederacy and chose to unite with Native Americans rather than fight them . C. The colonies gave more important roles to women because they saw how well it worked in Iroquois society. D. The colonies adopted the idea of lawmakers representing different groups from the Iroquois Nation Which button do I choose? Or the correct answer? PLEASE HELP when driving at night with no other vehicles ahead, a driver should use:high beam lights.low-beam lights.parking lights. A continuous random variable X that can assume values between x=4 and x=8 has a densty function given by f(x)= 41 , (a) Show that the area under the curve is equal to 1. (b) Find P(73 ( 41 )dx= 8=1 B. [infinity][infinity] ( 41 )dx=[infinity] [infinity][infinity] =1 C. 44 ( 41 )dx=4 44 =1 D. 78 ( 41 )dx= 78 =1 use in cleaning the computer system Which outlining practice ensures you're making valid arguments and your claims are well supported and logical? a. Principle of subordination b. Composing c. Direct quotation d. Speech thesis PLEASE HELP IM TIMED! In a periodic review system, the ____________ is fixed;while the ___________ varies due to random demand.Safety stock; base stockBase stock; safety stockTime between potential orders; order how to write the introduction of group research project feedback? Railroads and water services are examples of limited oligopolies natural monopoliesregional monopolies true monopolies