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
evaluate if r=12 s= -4 t= -6
8-r/-2
Answer:
8-r/-2
8-12/-2
-4/-2
2
This is the answer
I think this will help you
A cat gave birth to 3 kittens who each had a different mass between 147 and 159 g. Then the cat gave birth to a 4th kitten with the mass of 57 g. How will the birth of the 4th kitten affect the mean and median?
what value is equivalent to -30-2^3*3
- 30 - 2³ × 3
= - 30 - 8 × 3
= - 30 - 24
= - 54
Follow the order of PEMDAS.
P =》Parenthesis
E =》Exponents
M =》Multiplication
D =》Division
A =》Addition
S =》Subtraction
____
Hope it helps ⚜
The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?
Answer:
the second triangle
Step-by-step explanation:
because the point of intersection is out the triangle
In mosquito, more itchy bites are dominate to less itchy bites. If a male mosquito with a heterogeneous, more itchy bite mates with a less itchy, homologous female, what will the offspring likely be like?
4 Points Total:
Key (assign letters and traits) 1
Correct Punnet square 1
Correct phenotype 1
Correct prototypes 1
Answer:
a rash
Step-by-step explanation:
WILL GIVE BRAINLIEST
What is the domain and range ?
Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y
Step-by-step explanation:
HELP WITH MATH!! MARKUPS AND MARKDOWNS! I’LL PUT BRAINLIEST IF ITS CORRECT!
Answer:
1. $62.50
2. $41.25
3. $90.35
4. $2,160
5. $343
6. $66,602.25
7. $220
Step-by-step explanation:
6. The Gonzales family has three children. On summer break, they went to an amusement park. They bought 3 child tickets for $18.50 and 2 adult tickets. If they spent a total of $104.50, how much was the price of each adult ticket? and what is the equation.
Answer:
$24.50
Step-by-step explanation:
18.50*3=55.50 dollars
104.50-55.50=49.00 dollars
49 divided by 2=24.50 dollars
$24.50 dollars per adult ticket
Find the value of x.
Answer:
11
Step-by-step explanation:
Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.
Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.
In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:
YXZ+YOZ=180
6x-11+125=180
Simplify
6x+114=180
Solve
6x=66
x=11
Therefore, our value of x is 11 and the angle YXZ is 55 degrees.
A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]
[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]
Or, [tex]V=136.119 \ cubic \ inches[/tex].
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
For more details on the volume of cone follow the link:
https://brainly.com/question/1578538
can somebody please tell me if this is correct or not
Answer:
I would have done it the same way. Believing it is correct.
Step-by-step explanation:
Answer: Looks precise
Step-by-step explanation:
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.
Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren
(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1
5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5
(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren
The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
5 times open paren x plus 1 close paren and 5 x plus 5 is correct.Learn more about word problems here:
https://brainly.com/question/2610134?referrer=searchResults
Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
please help, am not good at word problems. I will also give the brainliest answer.
Answer:
Plain is $7 and Holiday is $15
Step-by-step explanation:
Castel: 2p + 5h = 89
Kali: 9p + 10h = 213
Double Castel's: 4p + 10h = 178
Subtract fro Kali's 9p + 10h = 213
- 4p + 10h = 178
5p = 35
p = 7 Plain is $7
Substitute 7 into one of the equations and solve for h:
2(7) + 5h = 89
14 + 5h = 89
5h = 75
h = 15 Holiday is $15
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
18 of the 23 tables at Paul's Italian Restaurant are full. What is the ratio of the number of full tables to the number of empty tables?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer: 18:23
Step-by-step explanation:
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Help for brainliest plz
Answer:
oh uhm that is 3,4 <3
Step-by-step explanation:
Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?
A. 28
B. 24
C. 20
D. 12
Answer:
B. 24
Step-by-step explanation:
If N1 = 8;
N1 + 4
8 + 4 = 12 =N2
N2 + 4
12 + 4 = 16 = N3
N3 + 4
16 + 4 =20 = N4
N4 + 4
20 + 4= 24 = N5
which is the next two equivalent fractions of 2/3 , 5/7
Answer:
[tex]\frac{2}{3}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{6}{9}[/tex]
Ans: [tex]\frac{2}{3}[/tex] => [tex]\frac{4}{6}[/tex] and [tex]\frac{6}{9}[/tex]
[tex]\frac{5}{7}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{5}{7}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]
Ans: [tex]\frac{5}{7}[/tex] => [tex]\frac{10}{14}[/tex] and [tex]\frac{15}{21}[/tex]
Help help help help math math
Answer:
5
Step-by-step explanation:
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answer:
88
Step-by-step explanation:
Find the slope of the line that passes through (-39, -32) and (-40, 41). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: The answer is that the slope is 9.
Identify the constant of proportionality from the graph.
Please help I’ll give brainlist just please help and please no links or spamming just please hurry and give me the answer thank you!!!
Answer:
y=3x
Step-by-step explanation:
you have to figure out what mutiply by your x give you y
2/1
3/6
when you divide you get 2
please help me with this. really need this
Answer:
(a) 1
Step-by-step explanation:
When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.
If you want 4 solutions, the value of c in f(x)=c cannot be 1.
my Christmas present to you
Answer:
super man
Step-by-step explanation:
Bro this is so hard
Answer:
c = 50 degrees and d = 30 degrees
Answer:
C = 80 degrees
D = 30 degrees
Step-by-step explanation:
To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.
50 + 30 = 80
Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.
To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees. Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.
180 - 30 = 150
Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.
7+2x/3=5 please give me an answer as soon as you can
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
3 . 7 + 2x
-------------- = 5
3
21 + 2x
----------- = 5
3
PLEASE ITS DUE 5 MINS
Answer:
I'm sorry pls retake the pic really quickly.. I can't see the entire problem!
Then I'll add my answer if I can! Thx!
whats the slope of (-5,-11) and (-2, 1)
Answer:
4
Step-by-step explanation:
