(a) Find an angle between 0° and 360° that is coterminal with 600°.(b) Find an angle between 0 and 2n that is coterminal withЗп2

Answers

Answer 1

Coterminal Angles are angles that share the same initial side and terminal sides.

Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

QUESTION A

The angle is given as 600°.

To find the coterminal angle between 0° and 360°, we subtract 360° from the angle.

Therefore,

[tex]\text{Coterminal angle = 600 - 360 = 240}\degree[/tex]

The coterminal angle is 240°.

QUESTION B

The angle is given as

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

To get an angle between 0 and 2π, we will add 2π to it.

Hence, we have

[tex]\begin{gathered} \text{Coterminal angle = 2}\pi-\frac{3\pi}{2} \\ =\frac{\pi}{2} \end{gathered}[/tex]

The coterminal angle is π/2.


Related Questions

Please help!! Math is not my cup of tea and I’m really struggling!! ASAP

Given the function:

f(x)=x²-3x - 4

Find the following values.

a) f(2)
f(2)=

b) f(4)
ƒ(4)=

c) f(-3)
ƒ(-3) =

Answers

Answer: [tex]-6, 0, 14[/tex]

Step-by-step explanation:

[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]

Answer:

5782

Step-by-step explanation:

td j envalentonado 8jdjdyzh d

What is the slope of y = -5x - 11

Answers

Answer:

0

Step-by-step explanation:

Find the distance between the ordered pairs.
(w + 2, m) and (2t, c - 3) when w = 6, m = 3, t = 4
and c = 10.

Answers

The distance between the ordered pairs is 4 units

What is distance formula?

Distance formula calculates the distance between two coordinates. it calculates the straight line distance between two points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2}+(d-b)^{2} }[/tex] for the coordinates (a, b) (c, d)

We are given the ordered pair (w+2,m) and (2t,c-3)

We are given the value w = 6, m = 3, t = 4 and c = 10.

Substituting the values in the pairs

We get,

(6+2,3),(2(4),10-3)

(8,3),(8,7)

We use distance formula to find the distance

[tex]d=\sqrt{(8-8)^{2} +(7-3)^{2} }\\ d=\sqrt{4^{2} }\\ d=4[/tex]

Hence the distance between the ordered pairs is 4 units.

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at the annual dog show, chantel noticed that there were three more scotties than schnauzers. she also realized that the number of wirehaired terriers was five less than twice the number of schnauzers. if there were dogs in all (counting schnauzers, scotties, and wirehaired terriers), how many schnauzers were there? write and solve an equation.

Answers

The no. of schnauzers in the annual dog show are 20.

Assume that there are x Schnauzers at the annual dog show.

Scotties entered in the yearly dog show: x + 3

There are 2x - 5 Wirehaired Terriers entered in the annual dog show.

There are 78 dogs in all competing in the yearly dog show.

Consequently, the equation becomes

x + x + 3 + 2x - 5 = 78.

4x - 2 = 78

4x = 78 + 2

4x = 80

x = 80/4

  = 20

In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.

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Given the following image, what additional information would you need to know to prove the triangles really are similar by SAS Similarity?


Given the following image, what additional information would you need to prove that the triangles are actually similar by AA Similarity?

Answers

1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.

2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.

What is the SAS Similarity?

The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.

What is the AA Similarity?

The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.

1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC

We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.

The additional information needed is: c. AB/DB is proportional to EB/CB.

2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.

The additional information needed would be: a. ∠A ≅ ∠D.

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1. Given the function g(x)=(x-4)² + 3
I’ve been asked to graph the function but they gave me no reference points to be able to find my corresponding points how do I find them with just the function?

Answers

There is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above. The graph is attached in the end.

What is a function?

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -

f(x) = 2x + 5

g(x) = 4x + 9

Given is function g(x) = (x - 4)² + 3

There is no need of any reference points to graph this function. You can take the reference points in a specific range. For example, you can plot the graph for the values of [x] from x = -5 to x = 5. It can be noticed that we have taken 5 - 5 points on both sides of the [x] axis. Make sure that you ensure this symmetry. Range could be any, for example from x = - 7 to 7, x = - 10 to 10 etc. The given function is -

g(x) = (x - 4)² + 3

We will plot the graph for x = -3 to x = 3

g(-3) = 52

g(-2) = 39

g(-1) = 28

g(0) = 19

g(1) = 12

g(2) = 7

g(3) = 4

Now, we will plot these coordinates on the graph. The plotted graph is attached with the answer.

Therefore, we can conclude that, there is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above.

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Which relation is a function?
Responses

(1, 0), (3, 0), (1, 1), (3, 1), (1, 3)
(1, 0), (3, 0), (1, 1), (3, 1), (1, 3)

(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)

(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)

(9, -3), (9, 3), (4, -2), (4, 2), (0, 0)

Answers

Answer:{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

Step-by-step explanation: hope this helps

Find −2⋅[g(−2)].


Select one:

a. 8

b. -40

c. 20

d. -16
pls help <3

Answers

the correct answer is a so write it

What is the slope of the line that passes through the points (-2, 2) and (-4, -1)?
Write your answer in simplest form.

Answers

The slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .

How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)

Given, the line passes through the points (-2, 2) and (-4, -1)
Now, using the formula established in the literature, we get:
slope = m = (y₂ - y₁)/(x₂ - x₁) = (-1 - 2)/(-4 - (-2)) = -3/-2 = 3/2 = 1.5
Therefore, the slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .

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Which of the following is used to identify outliers in a set of data?

1.5(IQR)
1.5(range)
2(mean)
2(median)

Answers

A) 1.5 (IQR) is used to identify outliers in a set of data.

What is the Interquartile range (IQR)?

The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.

The middle 50%, fourth spread, or H-spread are additional names for the IQR.

It is described as the discrepancy between the data's 75th and 25th percentiles.

The interquartile range is the best tool to use to find all of your outliers (IQR).

Knowing the IQR makes it simple to identify outliers because it represents the middle portion of your data.

Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR).

Quartile 1 (Q1) and Quartile 3 are these values (Q3).

The IQR represents the variation between Q3 and Q1.

As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).

Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.

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The correct question is given below:

Which of the following is used to identify outliers in a set of data?

(A) 1.5(IQR)

(B) 1.5(range)

(C) 2(mean)

(D) 2(median)

P.s hopes this helps

48/8 6/w

1=?



Help me please helpp

Answers

Answer:

w = 1

Step-by-step explanation:

You have to divide 48 by 8 to get 6, so you have to divide 8 by 8 to find w.

8/8 = 1

The width of a rectangle is 5 feet, and the diagonal length of the rectangle is 12 feet. Which measurement is closest to the length of this rectangle in feet?

Answers

The measurement is closest to the length of the rectangle is √119 ft.

What is the measure of the length of the given rectangle?

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c = √( a² + b² )

Where c is the diagonal that divides the rectangle into two equal triangle, a and b are the other legs of the triangle.

Given the data in the question;

With ( First leg ) a = 5ftDiagonal c = 12ftSecond leg b = ?

Plug the values into the formula and solve for b.

12ft = √( (5ft)² + b² )

Take the square of both sides

( 12ft )²  = (5ft)² + b²

144ft²  = 25ft² + b²

b² = 144ft² - 25ft²

b² = 119ft²

b = √( 119ft² )

b = √119 ft

Therefore, the measure of the length is √119 ft.

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Nancy spent 2 1/2 hours working on her homework on the weekend. she spent 4/5 of her time working her ela homework. how much time did nancy spend working on her ela homework?

Answers

The time Nancy spent working on her ela homework is equal to 2 hours.

The time Nancy spent working on her ela homework can be calculated by multiplication.

We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.

As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;

2 1/2 = 5/2 = 2.5 hours

Now multiplying it by the fraction of her time spent on ela homework,

Time spent on ela homework = 4/5 × 2.5

Time spent on ela homework = 10/5

Time spent on ela homework = 2 hours.

Hence Nancy spent 2 hours working on her ela homework.

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For f(x) = 4x + 1 and g(x) = x² - 5 find (g/f)(x)
I need help with this one :/

Answers

Answer:

always go with C- trust me its helped me alot

Step-by-step explanation:

(f+g)(x) = x2+4x−4

Explanation: add them together

f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4

Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.

Answers

Answer:

Step-by-step explanation:

What is x in this equation
2(x-7)=-4

Answers

x = 5

2x - 14 = -4

2x = -10

x = 5

Answer: 5

Step-by-step explanation: First I took away the 2 on the left which was multiplying the brackets.  Then because I did this I had to do the opposite to the other side. -4÷2

Then I just filled in the gaps 5-7=-2

the teacher wants to select 6 students from this class. the first selected student will be a media helper, the second one will be a pledge/flag helper, the third one will be a pencil sharpener, the fourth one will be attendance taker, the fifth one will be a board eraser and the sixth one will be a calendar helper. from this class of 13 students, how many different ways can this selection be done?

Answers

From this class, the teacher wishes to selected six students. 2,2,2,2,2,3 different ways are there to selected from this class of 13 students.

Given that,

From this class, the teacher wishes to selected six students. The first chosen student will assist with media, the second will assist with pledges and flags, the third will sharpen pencils, the fourth will take attendance, the fifth will wipe the board, and the sixth will assist with the calendar.

We have to find how many different ways are there to selected from this class of 13 students.

For 13 students,

We divide like 2,2,2,2,2,3.

The first 2 student will be a media helper,

The second 2 students will be a pledge/flag helper,

The third 2 students will be a pencil sharpener,

The fourth 3 students will be attendance taker,

The fifth 2 students will be a board eraser and

The sixth 2 students will be a calendar helper.

Therefore, This many ways we can selected the students.

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Find an equation for the line that passes through the points (3, -4) and (-3, -1).

Answers

This is the correct answer

Answer:

That is my own idea and I hope it is very helpful

Find the unit price (in dollars per ounce) if a 21-ounce can of pineapple costs $3.36.
a. $0.18 per ounce
b. $0.16 per ounce
c. $0.19 per ounce
d. $0.23 per ounce
e. $0.21 per ounce

Answers

B; $0.16 per ounce . I just finished the quiz and that’s the correct answer

May I please get help with this. I have tried multiple times to get the correct answer for this but still could not seem to get the right one.

Answers

Answer:

42

Explanation:

Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;

[tex]\begin{gathered} \frac{AB}{XY}=\frac{AC}{XZ} \\ \frac{30}{5}=\frac{AC}{7} \end{gathered}[/tex]

Let's cross multiply;

[tex]\begin{gathered} 5\cdot AC=30\cdot7 \\ 5AC=210 \end{gathered}[/tex]

Let's divide both sides of the equation by 5;

[tex]\begin{gathered} \frac{5AC}{5}=\frac{210}{5} \\ AC=42 \end{gathered}[/tex]

So the missing side length is 42

at an ice cream store with five flavors of ice cream (peppermint, hoarhound, chocolate malt, gingerbread, and squirrel), ice cream scoops are stored inside the ice cream containers. what is the smallest number of ice cream scoops that would need to be in use so that two of the scoops would have to be stored in the same flavor ice cream container? how many ice cream scoops must be in use if 3 of them have to be stored in the same flavor ice cream container?

Answers

ANSWER: 10 ICE-CREAM SCOOPS

There are 5 icecream flavors

For each we need 2 scoops so = 2*5 = 10 scoops

therefore ther must be 10 icecream scoops in use for five flavors.

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Question 1
Order from smallest to largest by selecting the dropdown beside each option. Mark the smallest with number 1.
• Number of pennies in a stack that is 1 ft high [Select]
• Number of books in a stack that is 1 ft high [Select]
• Number of dollar bills in a stack that is 1 ft high [Select]
• Number of slices of bread in a stack that is 1 ft high [Select]
.
Question 2

Answers

The order from smallest to largest is a book, bread, penny, bills

In decreasing size, they are a book, a loaf of bread, a penny, and a bill.

The following details must be taken into account;

The least number of books was thought to be necessary to reach one foot, followed by bread and then pennies.Finally, there should be bills.

We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.

Hence, The order from smallest to largest is a book, bread, penny, bills.

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what is the answer to 2x - 15

A.-10
B.9
C.8
D.12

Answers

Possible answers to the expression 2x - 15 are given as follows:

-10 if 2x - 15 = -35.9 if 2x - 15 = 3.8 if 2x - 15 = 1.12 is 2x - 15 = 9.

How to solve an expression?

An expression is solved isolating the variable of which we want to find the value.

In this problem, the expression is given as follows:

2x - 15 = c.

In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.

With c = -35, we have that the solution is found as follows:

2x - 15 = -35

2x = -20 (-35 + 15)

x = -20/2

x = -10.

Now, if c = 3, the solution is calculated as follows:

2x - 15 = 3

2x = 18

x = 18/2

x = 9.

In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.

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Tyler thinks he knows one of the linear factors of . After finding that , he suspects that is a factor of P(x). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?

Answers

Linear factors are the factors of a polynomial

What went wrong is that: Tyler's linear factors are incorrect

The polynomial function is given as:

Rewrite as:

Further rewrite as:

Factorize the above polynomial

Factor out x - 1 from the polynomial

This means that:

The linear factors are x - 1 and x^2 - 8x + 15

From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15

Hence, Tyler's linear factors are incorrect

PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER!!!!
1 3/5% of what number is 0.64?

Answers

Answer:

0.64 is 1 3/5% of 40

Step-by-step explanation:

3x3 determinant of -2, 3, 8 6, 7, 1 4, 5, 9

Answers

-2, 3, 8 | -2 3
6, 7, 1 | 6 7
4, 5, 9 | 4 5

Use the diagonal rule:

-2×7×9+3×1×4+8×6×5-(4×7×8+5×1×-2+9×6×3)

=-250

an ice cream shop sells small and large sundaes . one day, 30 small sundaes and 50 large sundaes were sold for $420.another day, 15 small sundaes and 35 large sundaes were sold for $270. sales tax is included in all prices .

Answers

Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.

How to solve for the cost of small and large sundae that were sold?

The ice cream  shop sells small and large sundaes .

One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.

Therefore,

let

x = cost of each small sundae

y = cost of each large sundae

Therefore,

30x + 50y = 420

15x + 35y = 270

multiply equation(ii) by 2

30x + 50y = 420

30x + 70y = 540

subtract equation(i) from equation(ii)

20y = 120

y = 120 / 20

y = 6

Hence,

30x + 50(6) = 420

30x + 300 = 420

30x = 420 - 300

30x = 120

x = 120 / 30

x = 4

Therefore,

cost of small sundae = 4 dollars

cost of large sundae = 6 dollars

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What is the distance between 3 and 15?

Answers

The most appropriate choice for distance between numbers will be given by -

Distance between 3 and 15 is 12 units

What is distance between two numbers?

At first it is important to know about number line.

A pictorial representation of real numbers has been done along a horizontal straight line. That horizontal straight line is called number line. On a number line, all the integers has been placed at equal distance apart. In between integers, fractions, decimal numbers, rational numbers and irrational numbers can be marked. Number line can be used for addition or subtraction.

Distance between two numbers indicates how far one number is situated from other number on the number line.

Here,

Distance between 3 and 15 = 15 - 3

                                              = 12 units

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Select the correct answer.
Which graph shows a function and its inverse?
A. The first graph
B. The second graph
C. The third graph
D. The last graph

Answers

Answer:

B

Step-by-step explanation:

It is asking which graph show (x,y) for one line and (y,x) for the other line.

For example, the blue line shows (0,2) as a point and the red line shows ( 2,0) and so on and so on.

2. The height (cm) of a plant during a period can be described with a function where time is 24 hours after planting. y=3+34x
How tall is the plant after 4 days?
What does the value y=3 mean?

Answers

The height of plant after 4 days  =  139cm .Here y = 3 means , corresponding function when y is 3 .

What is a function?A function is an expression, rule, or law in mathematics that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are commonly represented as y = f(x), which expresses y's dependence on x, or that y is a function of x. Function formulas define the mathematical rules for connecting one set of elements to another.

Here given ,

   y = 3 + 34x

 We have to find height of plant after 4 days,

 so, x = 4,

by substituting x,

y = 3 + 34 x 4

   = 3 + 136

   = 139 cm

here y = 3 means,

The corresponding function when the value of y =3 .

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There are 60 members in the school glee club. The glee club needs to raise at least $5,000 for a trip toa national competition. The school agreed to contribute $1,000 toward the trip. Which of theinequalities below shows the amount of money that each glee club member needs to raise to help payfor the trip.a) 60x + 1,000 > 5,000b) 60x + 5,000 > 1,000c) 1,000x + 60 < 5,000 Who was the vice president that served under the following two presidentsjohn quincy adams and andrew jackson?. by 1260, to successfully rule over the largest unified land empire in history, the mongols divided the empire into four regions called Can a triangle be formed with side lengths 13, 7, and 5? Explain. Describe the difference on table, graph and equation between discrete and continuous functions. Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.First, Shane finds that sin(4.5) 0.08. Using his calculator, he then calculates the length of the ramp as shown below.What could Shane do to make his calculation more accurate? A. Use sin(4.5) in his calculator instead of 0.08. B. Remeasure the angle with a different tool. C. Use the Pythagorean theorem to find the length of the ramp. D. Use a different trigonometric function to find the length of the ramp. Write a program that reads the student information from a tab separated values (tsv) file. the program then creates a text file that records the course grades of the students. each row of the tsv file contains the last name, first name, midterm1 score, midterm2 score, and the final score of a student. a sample of the student information is provided in studentinfo.tsv. assume the number of students is at least 1 and at most 20. If Earth's circumference at theequator is 40,070 km, what is thespeed of the stationary satelliteGOES above the equator in km/hour? (Use the formula: Speed =Distance/Time) Home Liquidators marks up its merchandise 35% on cost. What is the companys equivalent markup on selling price? The __________ shows the number of data items with values less than or equal to the upper class limit of each class. the flour beetle has 10 chromosomes, roughly equal in size, and it also has eight hox genes. if the eight genes were randomly distributed throughout the genome of the beetle, what is the probability that all eight would land on the same chromosome? a network administrator conducts a network assessment to determine where to implement a network intrusion detection system (nids). which sensor deployment option is most ideal if the admin is concerned about system overloads and resiliency in the event of power loss? using a perpetual inventory system, the effect on the accounting equation of purchasing merchandise on account includes a(n) . (check all that apply.) 13) Which of the following algebraic representations would result in a reduction dilation?A. (x,y) x,y)C. (x,y) x,0.75y)AnswerB. (x,y) (-2x.-2y)D. (x,y) x,y)acxiy) (tx, tyTriangles JKN and MKL are shown below.KMN14) Which of the following congruency statements is true about the two triangles?Angwer BA. L and ZN ZM B. ZNZL and ZK-ZK2N and CL areCongruentC. ZNZL and ZMD. UN and ZMZL Eck and Zk aze congruen15) Are triangles JKN and MKL similar?Yes16) If you answered YES for question 15, explain how you know they are similar. If you answered NO forquestion 15, explain how you know they are not similar. Question 12 pls help Find the missing side or angle. Round to the nearest tenth. a=4 b=5 c=7 2/4 turn into decimal How did the scientific research that started the Green Revolution affect society? Definition: This is a type of element or substance that is not a metal.Example: oxygen, nitrogen, hydrogen Which of the following is true? Question 1 options: (A) A person's weight on the moon is less than on Earth, due to the force of gravity. (B) A person's weight on the moon is the more than on Earth, due to the force of gravity. (C) A person's weight on the moon is the same as on Earth, due to the force of gravity. (D) A person's mass on the moon is more than on Earth, due to the force of gravity.