tan ( - pie / 12 ) =
- tan ( pie / 12 ) =
_________________________________
Remainder formula :
tan^2 (x) = [ 1 - 2Cos(2x) ] ÷ [ 1 + 2Cos(2x) ]
_________________________________
Thus :
tan^2 ( pie/12) =
[ 1 - Cos( 2pie/12 ) ] ÷ [ 1 + Cos( 2pie/12 ) ] =
[ 1 - Cos( pie/6 ) ] ÷ [ 1 + Cos( pie/6 ) ] =
[ 1 - √3/2 ] ÷ [ 1 + √3/2 ] =
[ 2 - √3 / 2 ] ÷ [ 2 + √3 / 2 ] =
[ 2 - √3 ] ÷ [ 2 + √3 ] =
2 - √3 / 2 + √3 =
(2 - √3)(2 - √3) / (2 + √3)(2 - √3) =
(2 - √3)^2 / 4 - 3 =
(2 - √3)^2 / 1 =
(2 - √3)^2
So :
tan^2 ( pie/12 ) = (2 - √3)^2
Take a square root from both sides
tan( pie/12 ) = 2 - √3
_________________________________
Thus ;
- tan ( pie/12 ) = - ( 2 - √3 )
- tan ( pie/12 ) = - 2 + √3
Approximately :
- tan ( pie/12 ) = - 2 + 1.732
- tan ( pie/12 ) = - 0.268
n the evening, the temperature is 9 degrees. By midnight it has dropped 1515 degrees lower. Between midnight and 4 am, it goes down 3 more degrees. Then, by 9 am, the temperature goes up 10 degrees.
Answer:
1 at 9 am
Step-by-step explanation:
Say 9 PM the temperature is 9
Midnight -15
4 am -3
9am 10
So the result is 9 - 15 - 3 + 10
19 - 18
Result = 1 degree. You really don't have a question, so I'm guessing at what it is.
sam has to read 2 books for school. sam read 1/6 of the first book on monday, and 10/11 of the second book on sunday. what total fraction of these two books has sam read.
Answer:
71/66
Step-by-step explanation:
total = 1/6+10/11
= (60+11)/66 (btw if you are confuse i took LCM here)
= 71/66
Total fraction = 71/66
Jana is making cookies use a recipe that calls for 3/4 cup of sugar if she doubles the recipe how many did she use
Answer:
6/4 or 1 1/2 or 1 2/4
Step-by-step explanation:
Hope this helps! Please leave any questions or concerns in the comments byeee <3
can some one do my homework plz
Over winter break, Alex took a trip to Montana and recorded the temperatures for the week. The temperature for the first six days of his trip are listed below. If the average temperature for the week he was on vacation was 1.2 degrees Fahrenheit, what was the temperature for Sunday?
Monday -5.3F
Tuesday 3.6F
Wednesday 6.7F
Thursday 0F
Friday 10F
Saturday -4.3F
Sunday ?F
Answer:
The temperature for Sunday was -2.3F
Step-by-step explanation:
When we have a set of N values:
{x₁, x₂, ..., xₙ}
The mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case, we have the set:
{-5.3F, 3.6F, 6.7F, 0F, 10F, -4.3F, X}
Where X is Sunday's temperature.
So we have a set of 7 values, and we know that the mean of this set is 1.2F
Then we have the equation:
[tex]1.2F = \frac{-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X}{7}[/tex]
If we multiply both sides by 7, we get:
[tex]1.2F*7 = 8.4F =-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X[/tex]
Now we can just solve this for X
8.4F + 5.3F - 3.6F - 6.7F - 10F + 4.3F = X
-2.3F = X
The temperature for Sunday was -2.3F
hiiii! help asap, 15 points (:
Answer:
D
Step-by-step explanation:
HELP
Let f(x) = sin 1 x. Then, the domain of f(x) is (-1,1] and the range is all real
numbers.
A. True
B. False
Option-B- False is the correct choice
We have a function - f(x) = sin x
We have to justify, whether the statement provided to is true or false.
Statement - the domain of f(x) is (-1,1] and the range is all real numbers.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
We have -
[tex]f(x)=sin\;x[/tex]
Refer to the figure attached, the graph represents [tex]y=f(x)=sin\;x[/tex]. It can be seen that the domain of [tex]sin\;x[/tex] is between [1,1] (including both 1 and -1) and range of the function [tex]sin\;x[/tex] is all possible real numbers.
In the statement - it is mentioned that the domain is (-1, 1], including 1 and excluding -1, and range is all real numbers. But the domain of the function [tex]sin\;x[/tex] includes -1 in its domain. Hence the statement is false.
Hence, Option-B- False is the correct choice
To solve more questions on finding the domain and range of functions visit the link below -
https://brainly.com/question/1632425
#SPJ2
30 POINTS PROBABILITY AND STATISTICS PLEASE HELP PHOTO INCLUDED, THANK YOU!
Answer: A
O The median-median regression line is a better prediction.
Step-by-step explanation:
The given median-median line for a dataset is
y 1.133x+ 0.489
The least-squares regression line for the same dataset is
y = 1.068x0.731
The given point is (50,60).
Substitute x=50 in each given equation.
y = 1.133(50) + 0.489
57.139
y = 1.068(50) + 0.731 = 54.131
Since the value of median-median line at x=50 is near to 60 than the value of least-squares regression at x=50.
The median-median line regression line is a better prediction. Therefore the correct option is A.
Eleri mows grass in her neighborhood. She charges $35 per yard. Eleri offers a discount to repeat customers, where she charges $3 less than the previous time to cut the grass. Suppose Eleri is cutting your grass for the 8th time. Which explicit formula describes how much she will charge your?
a)24-(n+1)(-3)
b)35-(n-1)(3)
c)35+(n-1)(-3)
d)30+(n-1)(8)
Answer:
b) 35-(n-1)3
Step-by-step explanation:
Thenks and mark me brainliest :))
Find the range of the parent function below. y=√x
Answer:
The parent function of the functions of the form f(x)=√x−a+b is f(x)=√x . Note that the domain of f(x)=√x is x≥0 and the range is y≥0 .
good 4 u I guess u moved on rlly easily. found a new girl and it only took a couple weeks. remember when u said that u wanted to give me the world. good 4 u I guess that you've been working on yourself. I guess that therapist I found for u she rlly helped. so u can be a better man for ur brand new girl. well good 4 u, u look happy and healthy, not me, if u ever cared to ask. good 4 u, ur doing great out there without me, baby, god I wish that I could do that. I've lost my mind I've spent the night crying on the floor of my bathroom. but ur so unaffected I rlly don't get it, but I guess, good 4 u.
Answer:
I fricking love this songg like sooo relatable Imfao
This song makes me cry-
Step-by-step explanation:
help !!! what are the coordinates of the vertices in the image ???
Answer:
the coordinates are-
(3,3)
(0,5)
(0,3)
thenks and mark me brainliestt :))
Let f(x) = 2^x and g(x) = x-4. The graph of (fºg)(x)
is shown below.
What is the range of (fºg)(x)?
y>0
All real numbers except y=0
y<=0
All real numbers
Answer:
I believe it is b but I'm not completely sure sorry if I'm wrong
Answer:
D all real numbers
Step-by-step explanation:
just did the test on edge plz vote brainliest
Whats the answer easy 20 points
Step-by-step explanation:
Option C is the correct one.
I hope it is helpful.Give brainliest answer if u satisfied with my answer.
Guys pls help me!!!!!
PLEASE HELP ASAP
There are 4 yellow, 8 purple, and 3 orange popsicle sticks in a container. Without looking, Kevin selects one popsicle stick from the container. Which color has a 1/5 chance of being chosen?
Answer:
It would be the orange popsicle sticks
Step-by-step explanation:
The color Orange has a 1/5 chance of being chosen.
Step-by-step explanation:Find the total: 4 + 8 + 3 = 15
Yellow = 4
[tex]\frac{4}{15}[/tex]
[tex]\frac{4}{15}[/tex], cannot be reduced any further so we know the color yellow is not the correct answer.
Purple = 8
[tex]\frac{8}{15}[/tex]
[tex]\frac{8}{15}[/tex], cannot be reduced any further so we know the color yellow is not the correct answer.
Orange = 3
[tex]\frac{3}{15}[/tex] simplifies into [tex]\frac{1}{5}[/tex]
So Orange is the correct answer.
Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% . How much is this increase in dollars? How much money was in his account at the end of last year?
Answer:
a) 1316 dollars
b) 6916 dollars
Step-by-step explanation:
Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% .
a) How much is this increase in dollars?
The increase on dollars is calculated as:
5600 × 23.5%
= 1316 dollars
b) How much money was in his account at the end of last year ?
The amount of money in his account at the end of last year is calculated as:
Increase + Initial amount invested
=( 1316 + 5600) dollars
= 6916 dollars
PLEASE HELP :)
This dot plot is symmetric, and the data set has no
extreme values
What is the best measure of center for this dot plot?
A. The smallest value
B. Either the mean or the median
C. The interquartile range (IQR)
O D. The mean absolute deviation (MAD)
Answer:
B. Either the mean or the median
Step-by-step explanation:
The given data in the dot plot are;
The number of data points at 7 on the number line = 3 data points
The number of data points at 8 on the number line = 5 data points
The number of data points at 9 on the number line = 3 data points
The mean = (3 × 7+ 5 × 8 + 3 × 9)/11 = 8
The median = The value of the (11 + 1)/2 th = The value of the 6th data point
Therefore, the median = 8
Therefore, given that the distribution of the data points are symmetrical about the number 8 on the number line (5 points at 8 and 3 points each at 7 and 9) the best measure of the center for the dot plot is the mean or the median.
Answer:
B Either the mean or the median
4. A spinner and a number cube numbered 1 to 6 are used in a game. The spinner is divided into 4 equal sections: red.
blue yellow, and green. A player must spin the spinner and roll the cube to move on the game board. What is the
probability of a player's spinning red and rolling a 5 or 6?
Answer:
1/12 or 1 out of 12
Step-by-step explanation:
Landing on red with the spinner is a 1/4 chance and the chance of rolling a 5 or 6 is 1/3. Multiplying the two fractions gives us the final probability, which is 1 out of 12.
Quadrilateral ABCD has vertices at, A(1, 4), B(-1,-5), C(3,-2) and D(7,2). Slopes: Lengths: AB= AB=
Answer:
[tex]\triangle AB=4.5[/tex]
Step-by-step explanation:
From the question we are told that:
Quadrilateral ABCD Dimensions:
A(1, 4), B(-1,-5), C(3,-2) D(7,2).
Generally the equation for Slope is mathematically given by
[tex]\triangle AB=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\triangle AB=\frac{-5-4}{-1-1}[/tex]
[tex]\triangle AB=4.5[/tex]
Therefore the slope of length AB is
[tex]\triangle AB=4.5[/tex]
Are the given values in the table enough information to show an exponential function instead of a linear function? If not, explain why not then write the equations for both an exponential and linear function represented by the table.
x f(x)
1 4
2 8
Answer:
where is the table
Step-by-step explanation:
Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Answer:
(8,-1)
Step-by-step explanation:
The point of intersection can be found out by solving the system of equations.
x + 3y = 5 3x - 2y = 26Multiply (1) by 3 :-
→ 3 ( x + 3y ) = 5 × 3
→ 3x + 9y = 15
Subtracting 3(1) and 2 :-
→ 3x + 9y - 3x +2y = 15 - 26
→ 11y = -11
→ y = (-1)
Put it in 1 :-
→ x -3 = 5
→ x = 3 + 5
→ x = 8
Hence the point of intersection is (8,-1)Review the graph of the function f(x).
On a coordinate plane, a curve starts at closed circle (1, negative 2) and curves up through (0, 1) to (negative 5, 2).
The function shown has an endpoint discontinuity. Which statement describes the one-sided limits at the discontinuity?
Answer:
b
Step-by-step explanation:
edg 2020
'Function' is described as 'a relation in which each component of the domain is related to precisely one component of the codomain.'
B). The statement second "Limit of f(x) = - 2 as x approaches 1 minus. Limit of f(x) DNE as x approaches 1+" correctly elaborates the single-sided limits when the end-point dislocates.
'End-point discontinuity' is described as a function that carries a shut endpoint at its interlude.While 'one-sided limits' are described as the limit(any out of the two) belonging to a function (x) when x advances towards either side(left or right). Thus, it limits x and the rest values remain the same. In the given function, the one-sided limit of the function(x) equals to -2 when it advances towards -1 and DNE when it advances towards 1+.Thus, option B is the correct answer.
Learn more about 'function' here:
brainly.com/question/23505310
please help i dont understand
Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[tex]5x^\circ+110^\circ=180^\circ[/tex] [Supplementary angles]
[tex]5x^\circ=180^\circ -110^\circ[/tex]
[tex]x^\circ=\dfrac{70^\circ}{5}[/tex]
[tex]x^\circ=14^\circ[/tex]
The value of x is 14 degrees.
[tex]2y^\circ+104^\circ=180^\circ[/tex] [Supplementary angles]
[tex]2y^\circ=180^\circ -104^\circ[/tex]
[tex]y^\circ=\dfrac{76^\circ}{2}[/tex]
[tex]y^\circ=38^\circ[/tex]
Therefore, the value of x is 14 degrees and the value of y is 38 degrees.
How many times do the lines intersect? *
Y= - 4x +1
Y=7x + 2
Answer:
Once. The point of intersection is (-5/7, 3)
Step-by-step explanation:
Once. You have two straight lines here with different slopes, and neither is the negative reciprocal of the other. There is one solution to this system of linear equations.
Setting the two equations equal to each other, we get
y = -4 + 1 = 7x + 2, or
-3 = 7x + 2, or
7x = -5, or x = -5/7.
From the first equation and x = -5/7, we find y:
y = 7(-5/7) + 2, or y = -5 + 2, or y = 3.
The ONE solution is (-5/7, 3)
solve logX-2 log6= 2
Answer:
x= 3600
Step-by-step explanation:
See the steps below:) I can only show half of the steps, But you can use the app photo math. you just take a picture of the problem and it gives you the answers and explains the steps:)
PLZ HELP!! WILL GIVE BRAINLEST
Answer:
(2,5)
Step-by-step explanation:
If as commented it’s being reflected across the x- axis from the origin. Then, that should be the answer, I’m not positive but I hope I helped!
Good luck!
I need help with this please it’s?
Answer:
the answer to the question is C
Find the surface area of a square pyramid whose length of the side of the base is 12 cm with a slant height of 7 cm.
Answer:
I HATE BRAINLY
Step-by-step explanation:
22737
I need Answer Immediately!!!!!
Answer:
point of intersection are
(-2,0) and (0,1)
we have
equation of a line is :
(x-x1)=(y2-y1)(/(x2-x1)*(y-y1)
(x+2)=(1-0)/(0+2)*(y-0)
x+2=½y
y=2x+4 is a required equation in a slope intercept form.
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
Answer:
a triangle as 3 sides
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The triangle is a right triangle