Answer with explanation:
Equation of line Passing through two points (a,b) and (c,d) is given by:
[tex]\frac{y-b}{x-a}=\frac{d-b}{c-a}[/tex]
Equation of line Passing through two points (8,0) and (3,7) is given by:
[tex]\rightarrow \frac{y-7}{x-3}=\frac{7-0}{3-8}\\\\\rightarrow \frac{y-7}{x-3}=\frac{7}{-5}\\\\\rightarrow -5 y+35=7 x - 21\\\\\rightarrow 5 y= -7 x +35 +21\\\\ y=\frac{-7 x}{5}+\frac{56}{5}\\\\y=-1.4 x +11.2[/tex]
Comparing with slope intercept form of line,
y= m x+c, where , m is slope and c is y intercept.
⇒Y intercept = 11.2
Equation of line Passing through two points (5,5) and (3,7) is given by:
[tex]\rightarrow \frac{y-7}{x-3}=\frac{7-5}{3-5}\\\\y-7= -1 \times (x-3)\\\\y=7-x+3\\\\y=-x +10[/tex]
Comparing with slope intercept form of line,
y= m x+c, where , m is slope and c is y intercept.
⇒Y intercept = 10
Equation of line is, y= -x +10.
The y-intercept of the line passing through point A (8, 0) and B (3, 7) is 56/5. The equation of the line that passes through these points and point D (5, 5) is y = (-7/5)x + (56/5).
To determine the y-intercept and the equation of a line, we first need to find the slope of the line. The slope (m) is given by the rise over run, which can be calculated using the coordinates of two points on the line. We have point A with coordinates (8, 0) and point B with coordinates (3, 7). The slope is therefore:
m = (Y2 - Y1) / (X2 - X1) = (7 - 0) / (3 - 8) = 7 / (-5) = -7/5
Now, we use the slope-intercept form of a line equation, which is y = mx + b, where b is the y-intercept. We can determine b by substituting the slope and the coordinates of one of the given points (we'll use point A). So:
0 = (-7/5)(8) + b
b = (7/5)(8) = 56/5
Therefore, the y-intercept is 56/5.
Knowing point D with coordinates (5, 5) is also on the line, we can use our slope m and this point to write the equation of the line:
y = (-7/5)x + (56/5)
However, since we know point D lies on this line, we can check if our equation is correct by substituting x = 5 and seeing whether y = 5:
5 = (-7/5)(5) + (56/5)
5 = -7 + 56/5
5 = 5
This confirms that our calculated equation is indeed correct and passes through all given points.
A factory makes 12 bags in three hours making both at the same rate how many bags would have made an eight hours
Known: 12 bags in 3 hours
Question: X bags in 8 hours
1) Find the amount of bags made in 1 hour
12/3 = 4 bags per hour
2) If each hour makes 4 bags, and the factory is running for 8 hours then multiply the rate of bag production by the time running
8*4=32
Final Answer = 32 bags
I tried to personal message you but it didn't work. I have a question about your question it says "making both at the same rate". My question is both what?
25) A group of 35 people are going to run a
race. The top three runners earn gold,
silver, and bronze medals.
A) Permutation: 39,270
B) Combination: 78,540
© Combination: 19.635
Permutation: 157,080
Answer:
A
Step-by-step explanation:
There are calculators online that you can use to answer this, some even show you the work step by step
In a certain college, 33% of the physics majors belong to ethnic minorities. find the probability that, from a random sample of 10 physics majors, exactly 4 do not belong to an ethnic minority.
If a random student has a 33% probability of belonging to a minority, then there is a 67% chance that they do not. In a sample of 10 students, the probability that exactly 4 do not belong to a minority is
[tex]\dbinom{10}40.67^4(1-0.67)^{10-4}\approx0.0547[/tex]
Kari wants to measure the height of a tree. She walks exactly 105 feet away from the base of the tree and looks up to the top of it. The angle from the ground to the top of the tree is 33 degrees. This particular tree grows at an angle of 86 degrees with respect to the ground rather than vertically. How tall is the tree to the nearest tenth of a foot?
Answer:
68.2 feet
Step-by-step explanation:
The angle of elevation, the one from the ground up, is given as 33 degrees. If Kari is 105 feet from the tree, that serves as the measure of the base of the right triangle. We are looking for the height of the tree, which is the side opposite the angle. What we have, then, is the angle (33 degrees), the side adjacent to the angle (105 ft), and we are looking for the side opposite the angle (x). What we need to use is the tangent ratio, which relates the side opposite the angle to the side adjacent to the angle, as follows:
[tex]tan33=\frac{x}{105}[/tex]
To solve for x we multiply both sides of the equation by 105 to get 105tan33°=x. Plug that into your calculator in degree mode to get 68.18779729. Round from there to get 68.2 feet.
20 points!!! Hurry hurry hurry!! Distance between points
Answer:
This is just a guess so I'm sorry if its wrong but I'd guess that it's A
Answer:
It is A
Step-by-step explanation:
You can use the Pythagorean Theorem a^2+b^2=c^2
3^2+5^2=c^2
9+25=c^2
34=c^2
square root of 34=c
Solve. 10x^2 = 6 + 9x10x 2 =6+9x10, x, start superscript, 2, end superscript, equals, 6, plus, 9, x Choose 1 answer: Choose 1 answer: (Choice A) A x =\dfrac{5 \pm \sqrt{65}}{-2}x= ?2 5± 65 ? ? x, equals, start fraction, 5, plus minus, square root of, 65, end square root, divided by, minus, 2, end fraction (Choice B) B x =\dfrac{9 \pm \sqrt{321}}{20}x= 20 9± 321 ? ? x, equals, start fraction, 9, plus minus, square root of, 321, end square root, divided by, 20, end fraction (Choice C) C x =\dfrac{4 \pm \sqrt{26}}{10}x= 10 4± 26 ? ? x, equals, start fraction, 4, plus minus, square root of, 26, end square root, divided by, 10, end fraction (Choice D) D x =\dfrac{-1 \pm \sqrt{109}}{18}x= 18 ?1± 109 ? ?
Answer:
Option B.
Step-by-step explanation:
If a quadratic equation is defined as
[tex]ax^2+bx+c=0[/tex] .... (1)
then the quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The given equation is
[tex]10x^2=6+9x[/tex]
It can rewritten as
[tex]10x^2-9x-6=0[/tex] .... (2)
On comparing (1) and (2) we get
[tex]a=10,b=-9,c=-6[/tex]
Using quadratic formula we get
[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(10)(-6)}}{2(10)}[/tex]
[tex]x=\dfrac{9\pm \sqrt{81+240}}{20}[/tex]
[tex]x=\dfrac{9\pm \sqrt{321}}{20}[/tex]
Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
I got it right
Find the equation of the line specified. The line passes through the points ( -2, 3) and ( -4, 7)
Answer:
[tex]y=-2x-1[/tex]
Step-by-step explanation:
Let the first coordinate point be (x_1,y_1) and the second coordinate point be (x_2,y_2)
So
x_1 = -2
y_1 = 3
x_2 = -4
y_2 = 7
Now we can use the formula for equation of line to figure it our.
Equation of line formula is [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Plugging in the known values and arranging in slope-intercept form, we have:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-3=\frac{7-3}{-4-(-2)}(x-(-2))\\y-3=\frac{4}{-2}(x+2)\\y-3=-2(x+2)\\y-3=-2x-4\\y=-2x-4+3\\y=-2x-1[/tex]
This is the equation of the line passing through the points ( -2, 3) and ( -4, 7)
Final answer:
To find the equation of the line, the slope is calculated as -2, using the point-slope form with one of the points yields y - 3 = -2(x + 2). Simplifying this, the equation of the line is y = -2x - 1.
Explanation:
To find the equation of a line passing through two points, first, determine the slope (m) of the line. The slope is calculated as the change in y (vertical) divided by the change in x (horizontal). For the points (-2, 3) and (-4, 7), the slope is:
m = (y2 - y1) / (x2 - x1) = (7 - 3) / (-4 + 2) = 4 / (-2) = -2.
Next, use the point-slope form:
y - y1 = m(x - x1),
where (x1, y1) is a point the line passes through. Using point (-2, 3) and the slope -2:
y - 3 = -2(x + 2).
Rewrite this equation in slope-intercept form (y = mx + b) by simplifying and solving for y:
y = -2x - 4 + 3,
y = -2x - 1.
Therefore, the equation of the line passing through the points ( -2, 3) and ( -4, 7) is y = -2x - 1.
CAN LIFT 10 POUNDS BY PUTTING 30 POUNDS OF WEIGHT ON A LEAVER HOW MUCH FORCE NEEDED TO LIFT A 25 POUND WEIGHT
Answer:
Is it a decimal?
Step-by-step explanation:
What is the slope of the line shown below?
A. 2/3
B. -3/2
C. 3/2
D. -2/3
Answer:
A
Step-by-step explanation:
The line passes through the points (-3,-7) and (9,1).
The slope of the line can be calculted using formula
[tex]\dfrac{y_2-y_1}{x_2-x_1}.[/tex]
Thus, the slope of the given line is
[tex]\dfrac{1-(-7)}{9-(-3)}=\dfrac{8}{12}=\dfrac{2}{3}.[/tex]
Answer:
A
Step-by-step explanation:
slope is given by the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We need 2 points to find a line's slope.
The first point is (-3,-7) hence x_1 = -3 & y_1 = -7.The second point is (9,1) hence x_2 = 9 & y_2 = 1.Plugging these into the slope formula, we will get the slope:
[tex]\frac{1--7}{9--3}\\=\frac{1+7}{9+3}\\=\frac{8}{12}\\=\frac{2}{3}[/tex]
correct answer is A
If sin x = -3/5 and x is in quadrant 3, then tan2x
Answer:
i think it should be tan2x = 24/7, i hope i am not wrong
Step-by-step explanation:
If sin x = -3/5 and x is in quadrant 3, then tan 2x = 24/7.
How to estimate the value of tan 2x?
Given:
[tex]$Sin x = \frac{-3}{5}[/tex]
To estimate cos x by identity
[tex]$Cos^{2} x=1-Sin^{2} x[/tex]
[tex]$Cos^{2} x =1-\frac{9}{25}[/tex]
[tex]$=\frac{16}{25}[/tex]
cos x = ±(4/5)
Since x exists in Quadrant III, then cos x exists negative.
tan x = Sin x/Cos x
= (−35)/(−54) = 3/4
By using the trigonometric identity, we get
tan 2x = 2 tan x / [tex]$1-tan^{2} x[/tex]
tan 2x = (6/4) / (1−9/16)
= (6/4)(16/7)
= 24/7
Therefore, tan 2x = 24/7.
To learn more about trigonometric identity
https://brainly.com/question/25024376
#SPJ2
PLEASE HELP WITH THESE!!
THANK U SOOO MUCH!!
Answer:
Step-by-step explanation:
One
Since you are asked to solve this using a graphing tool, here is the results as graphed by Desmos.
The point you want is (3,2)
The answer is 2.
Two
Multiply the second equation by 2
2[0.5x - y = 10]
x - 2y = 20 Add the first equation
x + 2y = 16
2x = 36 Divide by 2
x = 36/2
x = 18
Since this is all you are asked for, x = 18 is the answer.
Three
y is an exterior angle.
It is the sum of the two (given) remote interior angles.
y = 35 + 105
y = 140
x and y are supplementary (they add up to 180o
x + y = 180
x + 140 = 180
x = 180 - 140
x = 40
y - x = 140 - 40
y - x = 100
4Σn=! n/n!
I understand what the denominator, n! is by definition. I just don't understand what to put for the numerator when n = !
Can anyone help me figure this out?
I think the sum is supposed to be
[tex]\displaystyle\sum_{n=1}^4\frac n{n!}=\sum_{n=1}^4\frac1{(n-1)!}[/tex]
since [tex]n!=n\cdot(n-1)![/tex]. Then
[tex]\displaystyle\sum_{n=1}^4\frac1{(n-1)!}=\frac1{0!}+\frac1{1!}+\frac1{2!}+\frac1{3!}[/tex]
and [tex]0!=1[/tex] by definition so that the sum has a value of [tex]\dfrac83[/tex].
The second term of an arithmetic sequence is 7. The sum of the first 4 terms of the arithmetic sequence is 12. Find the first term, and the common difference, d, of the sequence.
*Please help*
Answer:
15 is the answer
Step-by-step explanation:
Explain the steps used to convert a temperature from Celsius to Fahrenheit.
For this case we have that by definition, to move from Celsius to Fahrenheit we must apply the following formula:
[tex]F = \frac {9} {5} C + 32[/tex]
Example, we want to convert 45 degrees Celsius to Fahrenheit:
[tex]F = \frac {9} {5} (45) +32\\F = 9 * 9 + 32\\F = 81 + 32\\F = 113[/tex]
Thus, 45 degrees Celsius equals 113 degrees Fahrenheit.
ANswer:[tex]F = \frac {9} {5} C + 32[/tex]
For anyone who still needs this:
1. Multiply your Celsius measurement by 9/5 (or 1.8)
2. Add 32 to the result
Formula: F = (9/5)°C + 32
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The owner of a chain of dance studios releases a report to the media. The report shows that participation in dance classes has increased by 5% in each of the past three years.
Which statement describes the most likely reason the owner releases the report?
Answer:
B
Step-by-step explanation:
I would say that the owner wants people to believe that dance classes are a good form of exercise.
Rachel is making nachos for a party. The recipe calls for 2/3 cups of cheese for each plate of nachos. How many plates can she make with five cups of cheese
Answer:
[tex]7\frac{1}{2}\ plates[/tex]
Step-by-step explanation:
we know that
The recipe calls for 2/3 cups of cheese for each plate of nachos
so
using proportion
Find out how many plates can she make with five cups of cheese
let
x ----> the number of plates
[tex]\frac{1}{(2/3)}\frac{plate}{cups} =\frac{x}{5} \frac{plates}{cups}\\ \\x=5/(2/3)\\ \\x=7.5\ plates[/tex]
Convert to mixed number
[tex]7.5=\frac{14}{2}+\frac{1}{2}=7\frac{1}{2}\ plates[/tex]
She can make 7.5plates with 5 cups of cheese
Ratios and proportionsAccording to the question, we are told that the recipe calls for 2/3 cups of cheese for each plate of nachos. This is expressed as:
2/3 cups of cheese = 1 plate of nachos
In order to calculate the number of plates she can make with five cups of cheese
5 cups = x
Cross multiply
2/3x = 5
2x = 15
x = 7.5 plates
Hence she can make 7.5plates with 5 cups of cheese
learn more on ratios and proportions here: https://brainly.com/question/2328454
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
A number generator was used to simulate the percentage of students in a town who enjoy playing video games. The process simulates randomly selecting 100 students from the town and was repeated 20 times. The percentage of students who play video games is shown in the dot plot. Which statement is true about the student population of the town?
Answer:
Step-by-step explanation:
Notice that the greatest number of dots is over the '70,' indicating that 70% of the students in the town enjoy playing video games.
This problem has to do as much with your ability to interpret graphs as to apply statistics concepts correctly.
What is the limit of e^x, as x approaches pi.
Answer:
[tex]\lim_{x \to \pi } e^x=e^\pi[/tex]
Step-by-step explanation:
Can someone please help with NUMBER 7?!! It’s my last one I will mark brainliest to the best answer
Answer:
1, 3, 9, 27
Step-by-step explanation:
[tex] a_n = 3^{n - 1} [/tex]
You need the first 4 terms, so let n = 1, and evaluate the expression. Then do the same for n = 2, n = 3, and finally n = 4.
n = 1
[tex] a_1 = 3^{1 - 1} = 3^0 = 1 [/tex]
n = 2
[tex] a_2 = 3^{2 - 1} = 3^1 = 3 [/tex]
n = 3
[tex] a_3 = 3^{3 - 1} = 3^2 = 9 [/tex]
n = 4
[tex] a_4 = 3^{4 - 1} = 3^3 = 27 [/tex]
Help me find the mean of this data set.
74
67
74.25
64
72
67.75
73
66
68
72
68
68
69
70
72
76
70
68
68
72
74
71
66
71
67
70
71.5
71
72
70
71.5
74
69
70.5
72
75.5
71.5
72
69.5
71
74
74
72
74
75
Answer:
Finding the mean is very simple, add them all together and divide that sum by the number of data points you have; in this case there are 45
Step-by-step explanation:
[tex]\frac{74+67+74.25+64+72+...}{45}[/tex] = mean
What is the difference of 21x / 3x^2 - 2 and 7 / 3x^2 - 2. Show steps
Answer:
Final answer is [tex]\frac{21x-7}{3x^2-2}[/tex]
Step-by-step explanation:
We have been given two terms [tex]\frac{21x}{3x^2-2}[/tex]
and [tex]\frac{7}{3x^2-2}[/tex]
Now we need to find their difference. So let's subtract them
[tex]\frac{21x}{3x^2-2}-\frac{7}{3x^2-2}[/tex]
Denominators are equal so we can easily subtract numerators
[tex]=\frac{21x-7}{3x^2-2}[/tex]
We may factor the numerator but we won't get any factor in denominator that can be cancelled with numerator.
Hence final answer is [tex]\frac{21x-7}{3x^2-2}[/tex]
Explain how to solve this, step by step?
Together, a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Calculate the cost of the chair, the table, and the lamp.
Answer:
The cost of chair is [tex]\$260[/tex]
The cost of a lamp is [tex]\$65[/tex]
The cost of a table is [tex]\$237[/tex]
Step-by-step explanation:
Let
x----> the cost of chair
y----> the cost of lamp
z----> the cost of table
we know that
[tex]x+y+z=562[/tex] ----> equation A
[tex]x=4y[/tex] -----> [tex]y=x/4[/tex] -----> equation B
[tex]z=x-23[/tex] ------> equation C
substitute equation C and equation B in equation A and solve for x
[tex]x+(x/4)+(x-23)=562[/tex]
[tex](9/4)x=562+23[/tex]
[tex](9/4)x=585[/tex]
[tex]x=585*4/9=\$260[/tex]
Find the value of y
[tex]y=260/4=\$65[/tex]
Find the value of z
[tex]z=260-23=\$237[/tex]
therefore
The cost of chair is [tex]\$260[/tex]
The cost of a lamp is [tex]\$65[/tex]
The cost of a table is [tex]\$237[/tex]
Henry gargles with mouthwash. Which is a responsible amount of mouthwash for Henry to use? 2 fluid ounces, 8 fluid ounces, 12 fluid ounces, or 20 fluid ounces.
Answer:
2 fluid ounces
Step-by-step explanation:
8 is a lot of mouthwash to use and anything aove that is a just alot...
I really need help on this I have no clue how to do this and my new teacher have a foreign accent so I can’t understand her
Answer:
sinθ = 12/15 -> 4/5
cosθ = 9/15 -> 3/5
tanθ = 12/9 -> 4/3
cscθ = 15/12 -> 5/4
secθ = 15/9 -> 5/3
cotθ = 9/12 -> 3/4
Step-by-step explanation:
The theta is where you would use to identify the numbers for the trig functions. The adjacent side is the one closest to the theta (but not the diagonal line, that is the hypotenuse), and the opposite line is the line next to the adjacent line.
For the first three trig functions, would use the method Soh Cah Toa.
Sin = opp/hypotenus, Cosine = adjacent/hypotenuse, and Tangent = opposite/adjacent. Then, there is cosecant(csc) = hyp/opp, secant = hyp/adj, and cotangent = adj/opp.
TIMED!!!
Marlon built a ramp to put in front of the curb near his driveway so he could get to the sidewalk more easily from the street on his bike.
If the ramp includes the flat piece as well as the angled piece and is made entirely out of concrete, what is the total amount of concrete in the ramp?
768in^3
936in^3
984in^3
1,080in^3
Answer: Last option.
Step-by-step explanation:
The total amount of concrete in the ramp ([tex]V_t[/tex]) will be the sum of the volume of the rectangular prism ([tex]V_{rp}[/tex]) and the volume of the triangular prism ([tex]V_{tp}[/tex])
[tex]V_t=V_{rp}+V_{tp}[/tex]
The formulas are:
[tex]V_{rp}=lwh[/tex]
Where "l" is the lenght, "w" is the width and "h" is the height.
[tex]V_{tp}=\frac{bhl}{2}[/tex]
Where "l" is the lenght, "b" is the base and "h" is the height.
Substituting, we get:
[tex]V_t=V_{rp}+V_{tp}\\\\V_t=lwh+\frac{bhl}{2}\\\\V_t=(18in)(6in)(6in)+\frac{(8in)(6in)(18in)}{2}\\\\V_t=1,080in^3[/tex]
Answer:
The guy above me is correct lol
Step-by-step explanation:
which is a rule that describes the translation of a point from 4, -8 to 7, -10
(x, y) > (x + 3, y - 2)
(x, y) > (x + 3, y + 2)
(x, y) > x - 3, y - 2
(x, y) > (x - 3, y + 2)
Answer:
[tex]\large\boxed{(x,\ y)\to (x+3,\ y-2)}[/tex]
Step-by-step explanation:
[tex](4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)[/tex]
Answer:
first choice: (x, y) ------> (x + 3, y - 2)
Step-by-step explanation:
The x-coordinate started as 4. Then it became 7. To change from 4 to 7, you add 3. The rule for x is to add 3.
The y-coordinate started as -8. Then it became -10. To go from -8 to -10, you subtract 2. The rule for y is to subtract 2.
Look at the choices, and pick the one that adds 3 to x and subtract 2 from y.
The answer is the first choice: (x, y) ------> (x + 3, y - 2)
The variables x and y vary inversely with a constant variation of 6. Find y when x=12.
Answer:
y = 1/2
Step-by-step explanation:
If two variables x and y vary inversely, then:
xy = k
where k is the constant variation.
In this case:
xy = 6
When x = 12:
12y = 6
y = 1/2
The value of y when x is 12 is 2 (option C)
What is inverse variation?Inverse variation is the relationship between two variables, such that if the value of one variable increases then the value of the other variable decreases. Example is the price of a commodity and the quantity acquired, the higher the price, the lower of commodity bought and vice- versa.
here, we have,
Inverse relationship between two quantities x and y is expressed as:
x= ky
where k is the constant
k = 6
when x = 12
12 = 6y
divide both sides by 6
y = 12/6
y = 2
therefore the value of y when x is 12 is 2
learn more about inverse variation from
brainly.com/question/13998680
#SPJ3
The diameter of an open parachute is 15 ft. if the distance from the parachute to the center of the diameter is 8 ft, what is the length of the suspension line (from the harness to the edge of the open chute)?
The length of the suspension line from the harness to the edge of the open chute is approximately 10.97 ft.
Explanation:To find the length of the suspension line, we can use the Pythagorean theorem. The distance from the parachute to the center of the diameter is the radius of the parachute, which is half the diameter. Therefore, the radius is 15 ft / 2 = 7.5 ft. The suspension line is the hypotenuse of a right triangle with one leg being the radius and the other leg being the distance from the parachute to the edge of the open chute. Using the Pythagorean theorem, we can calculate the length of the suspension line as follows:
https://brainly.com/question/30506629
#SPJ12
Jocelyn invests $1,600 in an account that earns 2.5% annual interest. Marcus invests $400 in an account that earns 5.4% annual interest. Find when the value of Marcus's investment equals the value of Jocelyn's investment and find the common value of the investments at that time. If necessary, enter the year to the nearest tenth and the value to the nearest cent.
Answer:
Total = Principal * (1 + rate) ^ years
We have to solve this for years:
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Jocelyn: Years = {log(total) -log(1,600)} ÷ log(1.025)
Marcus: Years = {log(total) -log(400)} ÷ log(1.054)
We know the years must be equal but we won't know the total so we'll call that "x".
[log(x) -log(1,600)] ÷ log(1.025) = [log(x) -log(400)] ÷ log(1.054)
EDITED TO ADD
Time is about 49 Years 8 Months and total is about 5,454.00
We know the years must be equal
Step-by-step explanation:
Which pair of angles are coterminal with 120°?
240°, 600°
-240°, -600°
180°, -360°
-60°, 300°
Answer:
-240°, -600°
Step-by-step explanation:
Coterminal angles are angles that land in the same spot around a circle.
So, that means they do full turns of the circle to reach each other.
To find coterminal angles of a given angle (here 120 degrees), you add or subtract 360 (the number of degrees in a full circle). That can go in both positive or negative directions.
So, from 120 degrees, let's find the coterminal angle that is 1 rotation above and one rotation below:
120 + 360 = 480
120 - 360 = -240
You see that 480 isn't among the possible answers, so one part of the answer is -240. If you subtract another 360 degrees, you end up with -600 degrees... so the answer is -240°, -600°