Using reference angles, it is found that the correct option is:
The angles do not have the same reference angle.Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, [tex]\frac{\pi}{2} < \frac{5\pi}{6} < \pi[/tex].
On the second quadrant, the tangent is negative, as the sine is positive and the cosine is negative.The reference angle is found subtracting [tex]\pi[/tex] from the angle, hence:[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, [tex]\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi[/tex].
On the second quadrant, the tangent is negative, as the sine is negative and the cosine is positive.The reference angle is found subtracting [tex]2\pi[/tex] from the angle, hence:[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
They have different reference angles, hence:
The angles do not have the same reference angle.For more on angles, you can check https://brainly.com/question/24787111
Answer:
A
Step-by-step explanation:
A
Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
[tex]\frac{54}{24}[/tex] = k = 2.25
z = 2.25xy ← equation of variation
Solving Linear Equations with the Distributive Property
BRAINLIEST IF RIGHT!
Answer:
c = $5.50
Step-by-step explanation:
Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:
c = cost of one cheeseburger
s = cost of one soda
Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.
5s + 5c = 33.75
We are given the price of soda, however, so we can insert that number into the equation for s.
5(1.25) + 5c = 33.75
Then we can simplify and solve for c.
6.25 + 5c = 33.75
5c = 27.5
Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.
c = 5.50
So one cheeseburger costs $5.50.
Hope this helps.
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
how do you write the equation of the line that passes through the points (-9,4) and (7,-2)
Answer:
y = -3/8x+5/8.
Step-by-step explanation:
First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.
Answer:
y = (-3/8)x + 5/8
Step-by-step explanation:
First we need to find the slope of the line connecting these two points. Slope is represented by m and is equal to rise/run.
Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise). Thus, the slope of this line is
m = rise/run= -6/16, or -3/8.
Adapt the slope-intercept formula y = mx + b to this situation. From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8. Then we have:
4 = (-3/8)(-9) + b, from which we get the y-intercept, b:
4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.
The equation describing this situation is y = (-3/8)x + 5/8.
When looking at a graph, explain how you would know two variables were not proportional.
Answer:
a straight line that does not go through the origin.
The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:
Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68
What is the constant of proportionality?
9
17
34
36
Answer:
The answer is a
Its a because 13 times 3 is 39
13 times 4 is 52
and 13 times 5 is 65
Credit to: alizahalder2007
What is the solution set for this inequality?
negative x plus 40 is greater than negative 16,
Answer:
x < 56
Step-by-step explanation:
- x + 40 > -16
-x + 40 - 40 > -16 -40
-x > -56
-x / -1 > -56 / -1
x < 56
How much is the bill for a person who uses 600kWh in a month?
Answer:
the correct answer is $80
Step-by-step explanation:
your welcome(:
can I get the brainliest?(:
thank me if it was right for you too
Identify two ANGLES that are marked congruent to each other on the diagram below
Answer:
Angle J is congruent to Angle G
In his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.
There are 7 dimes and 9 quarters in his pocket.
Let the number of dimes be xLet the number of quarters be yIf there are 16coins in total, hence;
x + y = 16 ......................... 1If hamid has $2. 95 in dimes and quarters, this is expressed as:
0.1x + 0.25y = 2.95 ............... 2From equation 1
x = 16 - y ................. 3Substitute equation 3 into 2 to have:
0.1x + 0.25y = 2.95
0.1(16-y) + 0.25y = 2.95
1.6 - 0.1y + 0.25y = 2.95
1.6 + 0.15y = 2.95
0.15y = 1.35
y = 1.35/0.15
y = 9
Since x + y = 16
x = 16 - y
x = 16 - 9
x = 7
Hence there are 7 dimes and 9 quarters in his pocket.
Learn more on simultaneous equations here: https://brainly.com/question/16863577
28-(3x+4)=2(x+6)+x In Distributive property please.
Answer:
X=4
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)
28+−1(3x)+(−1)(4)=2(x+6)+x
28+−3x+−4=2(x+6)+x
28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)
28+−3x+−4=2x+12+x
(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)
−3x+24=3x+12
−3x+24=3x+12
Step 2: Subtract 3x from both sides.
−3x+24−3x=3x+12−3x
−6x+24=12
Step 3: Subtract 24 from both sides.
−6x+24−24=12−24
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Answer:
x = 2
Step-by-step explanation:
28 - 3x + 4 = 2x + 12 + x
24 - 3x = 3x + 12
+ 3x +3x
24 = 6x + 12
-12 -12
12 = 6x
x = 2
Calculate the value of (225 ÷ 0.25) – 11.875
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
i need help please find the ans
you will get 15 points if you ans this
Answer:
the answer is 5 ^_^
Step-by-step explanation:
hopeee it helpss ^_^
What is the slope of a line that is perpendicular to the line that passes through the points (4, 7) and (9, 3)?
Answer:
5/4
Step-by-step explanation:
The original line is
7 - 3 / 4 - 9
4/-5, so the slope is -4/5
Perpendicular means the opposite sign and reciprocal.
5/4
The answer I need for this question is of how to solve this question and not what x is.
Step-by-step explanation:
You know that all the degrees in a hexagon is 720.
84+87+128+150+103=552
Subtract 552 from 720.
You don't want x so just do 720-552=x
|-13| = I do not get how I solve this equation could you please help me
Answer:
13
Step-by-step explanation:
whenever you take the absolute value of something it changes from negative to positive
Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?
Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.
His sales tax will be $2.75.
Which is NOT a line of symmetry?
1
2
3
4
5
Answer:
Line 3 is the only one that is not a line of symmetry.
how do you solve 9-3(5-4x)
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x
Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon
Answer:
21mi/gnStep-by-step explanation:
7mi/1/3gncalculate the product7mi/gn/3simplify the complex fraction
So the answer is=21mi/gnHope it helps1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
how many solutions does the following system have?
-4x + 5y = 7
4x - 5y = -7
a. one solution
b. no solution
c. infinitely many solutions
Answer:
It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0
8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?
How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!
regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?
Answer:
she sold 680 chocolate chip cokies
Step-by-step explanation:
What is 2 rounded to the nearest whole number?
Answer:
2
Step-by-step explanation:
I need help with this question it Is math
Answer:
.y+1=4(i-2)
Step-by-step explanation:
expand and simplify (x-2)³
Step-by-step explanation:
(x-2)³ = (x-2) × (x-2) × (x-2)
(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4
(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8
x³ -6x² +12x - 8
If the new minimum wage of $8.75 per hour is 102.9412% of the old minimum wage, what was the old minimum wage?
Using proportions, it is found that the old minimum wage was of $8.50.
The new minimum wage is of $8.75 per hour.The old minimum wage was of x.The new minimum wage is 102.9412% of the old minimum wage, hence it can be represented as 1.029412x.The equation for the relationship between these wages is:
[tex]1.029412x = 8.75[/tex]
[tex]x = \frac{8.75}{1.029412}[/tex]
[tex]x = 8.50[/tex]
The old minimum wage was of $8.50.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]