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
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
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
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
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
How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!
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]
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:
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.
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
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
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.
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?
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
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
Identify two ANGLES that are marked congruent to each other on the diagram below
Answer:
Angle J is congruent to Angle G
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 ^_^
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 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
What is 2 rounded to the nearest whole number?
Answer:
2
Step-by-step explanation:
1. 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 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
I need help with this question it Is math
Answer:
.y+1=4(i-2)
Step-by-step explanation:
|-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
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 helpsexpand 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
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.
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.
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.
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