Answer:
[tex]tan165^0 = -2 + \sqrt{3}[/tex]
Step-by-step explanation:
Given;
tan165⁰
165⁰ is in the second quadrant, and sine is positive in this quadrant, thus tan will be negative.
In second quadrant, tanθ = -tan(180 - θ)
tan165⁰ = -tan(180-165)
tan165⁰ = -tan15⁰
[tex]- tan15^0 = -tan(60 - 45)\\\\ tan(\alpha - \beta) = \frac{tan \alpha -\ tan \beta}{1 + tan \alpha tan \beta}\\\\ -tan(60 - 45) = -(\frac{tan 60 - tan 45}{1+tan60tan45} )\\\\ -(\frac{tan 60 - tan 45}{1+tan60tan45} )= -(\frac{\sqrt{3} \ - 1}{1+ \ \sqrt{3} } ) = \frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} }\\\\\frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} } =( \frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} })(\frac{1 - \ \sqrt{3}}{1 - \ \sqrt{3}} ) = \frac{1-\sqrt{3} -\sqrt{3} \ +\ 3 }{1\ -\ 3} = \frac{4-2\sqrt{3} }{-2}[/tex]
[tex]\frac{4-2\sqrt{3} }{-2} = -2 + \sqrt{3}[/tex]
Therefore, [tex]tan165^0 = -2 + \sqrt{3}[/tex]
Answer:
- sqrt(7-4sqrt(3)) = -0.26794
tan165º = -0.26794
Step-by-step explanation:
On EDG
An equation of the line that has a slope of 3 and a y intercept of -2
Answer:
y=3x-2 or y=3x+2
Step-by-step explanation:
Answer: y = 3x-2
Step-by-step explanation:
What is a car speed in m/s if it travels 5m in 0.2s
Write the ratio 5 to 8 as a fraction, decimal,
and percent.
fraction:
decimal:
percent:
Help meeeeee
Answer:
5/8
.625
62.5%
Step-by-step explanation:
Line b passes through the point ( (6,4) and has a slope of -2. What is the equation of Line b in standard form?
2x + y = -11
x + 2y = -14
x + 2y = -16
2x + y = 16
Answer:
Equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equation of line b that passes through the point ( (6,4) and has a slope of -2.
First we need to find y-intercept of line using formula: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Using m=-2 , x=6 and y=4 the y-intercept will be:
[tex]y=mx+b\\4=-2(6)+b\\4=12+b\\b=4-12\\b=-11[/tex]
Now finding the equation of line having slope m=-2 and y-intercept b=-11
[tex]y=mx+b\\y=-2x-11[/tex]
Writing the equation in standard form
[tex]y=-2x-11\\2x+y=-11[/tex]
So, equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]
Option A is correct.
jeremy can row 1/3 of a mile in 1/4 of an hour what is the unit rate
Answer:
Step-by-step explanation:
1/3 of a mile in 15 minutes. 1.333 (4/3) miles an hour
Use the graph at the right. If the
y-intercept increases by 2 and
the slope remains the same,
what will the x-intercept be?
F. –3
H. 1
G. –2
J. 4
Danielle has $20 more than her sister has, X. Write an equation to find y, the amount of
money Danielle has.
Answer:
I think the equation is 20$+X=Y
Step-by-step explanation:
y = x + 20
Topic: algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Timothy went to a baseball Timothy went to a baseball game. after the game, he wanted to ride the bus home. the red line and the blue line buses both stop at the stadium. ●A red line and a blue line bus both left the stadium at 4:00 p.m. ●Red line buses were scheduled to leave the stadium every 6mins ●Blue line buses were scheduled to leave If the busses run on schedule when is the next time a red line and a blue line bus will leave together?
Answer:
I have no clue how to slide this I don't quite understand the problem can you try to explain better?
HCF of 200 and 240 pls Not gcf I need HCF!
Answer:
40
Step-by-step explanation:
200 divided by 40 is 5
240 divided by 40 is 6
line a passes through the points (-1,0) and (3,-8)
what’s the slope?
Answer: 2
Step-by-step explanation:
(x1,y1) = (-1,0)
(x2,y2) = (3,8)
m = (8–0)/(3-(-1))
m = 8/(3+1)
m = 8/4
m = 2
PLEASE HELP! URGENT!
What is the value of x? Enter your answer in the box.
Answer:
x = 61°
Step-by-step explanation:
Property of a triangle,
Sum of interior angles of a triangle = 180°
By applying this property in ΔABC,
m∠A + m∠B + m∠C = 180°
x° + 67° + 52° = 180°
x + 119° = 180°
x = 180 - 119
x = 61°
Therefore, measure of angle A = x = 61°
Please help !!!!!!!!
(4u + 9) + 9u^2
adding & subtracting polynomials
Answer:
9u² + 4u + 9
Respond w/ any questions...
Answer:
9u^2 + 4u + 9
Step-by-step explanation:
eliminate parentheses - 4u + 9 + 9u^2
rearrange terms - 9u^2 + 4u + 9
Joe’s favorite basketball team is the Tigers. Joe’s favorite basketball team is in first place right now. What can you conclude?
Answer:
The Tigers are in first place and Joe has a good taste in basketball teams. I'm not sure if you can conclude anything else from that.
Someone help please I’ll mark brainliest! Leave a small explanation
Answer:
D. (-3,1)
Step-by-step explanation:
When putting pairs it is (X,Y) (horizontal,vertical)
The ones both meet at point D. (-3,1)
Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C only. You will need to use both Soh-Cah-Toa and the Pythagorean Theorem to solve for side AB.
Answer:
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
[tex]Sin\ C = \frac{h}{a}[/tex]
Make h the subject:
[tex]h = aSin\ C[/tex]
Also, in BOC (Using Pythagoras)
[tex]a^2 = h^2 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = a^2 - h^2[/tex]
Substitute [tex]aSin\ C[/tex] for h
[tex]x^2 = a^2 - h^2[/tex] becomes
[tex]x^2 = a^2 - (aSin\ C)^2[/tex]
[tex]x^2 = a^2 - a^2Sin^2\ C[/tex]
Factorize
[tex]x^2 = a^2 (1 - Sin^2\ C)[/tex]
In trigonometry:
[tex]Cos^2C = 1-Sin^2C[/tex]
So, we have that:
[tex]x^2 = a^2 Cos^2\ C[/tex]
Take square roots of both sides
[tex]x= aCos\ C[/tex]
In triangle BOA, applying Pythagoras theorem, we have that:
[tex]AB^2 = h^2 + (b-x)^2[/tex]
Open bracket
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
Substitute [tex]x= aCos\ C[/tex] and [tex]h = aSin\ C[/tex] in [tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2[/tex]
Open Bracket
[tex]AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C[/tex]
Reorder
[tex]AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C[/tex]
Factorize:
[tex]AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C[/tex]
In trigonometry:
[tex]Sin^2C + Cos^2 = 1[/tex]
So, we have that:
[tex]AB^2 = a^2 * 1 + b^2-2abCos\ C[/tex]
[tex]AB^2 = a^2 + b^2-2abCos\ C[/tex]
Take square roots of both sides
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
Find all solutions for the following equations. Write your answers in radians using exact values. (Enter your answers as a comma-separated list. Let k be any integer.) sin 2x cos x cos 2x sin x
Answer:
Step-by-step explanation:
Given that:
sin2xcos x + cos2xsin x = -1
Recall that;
SInAcosB + cosASinB = SIn (A+B)
SIn (2x +x) = -1
Sin (3x) = -1
[tex]x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ][/tex]
[tex]x = \dfrac{\pi}{2} + \dfrac{2 \pi \ k}{3}[/tex]
[tex]x = \dfrac{\pi}{2}, \dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}[/tex]
: What is 40% of 200 Using table
Answer:
80
Step-by-step explanation:
40% of 200=80
Answer:
80
Step-by-step explanation:
40% of 200
40/100×200
80
Answer is 80
i currently have alot of points im only giving out a little but i will give thanks, brainliest, and 5 star
Answer:
ilyilyilyilyily thank you
Answer:
thats so sweet thank you!!!
Step-by-step explanation:
Con un diámetro de 4x y un ares de 28.26cm cual es el valor de X
Answer:
2826/25
Step-by-step explanation:
28.26×4=========2826/25
At the animal shelter, there are 4 dogs for every 3 cats. Only dogs and cats are accepted (let in) at the shelter. If there are 24 dogs currently at the shelter, how many animals are at the shelter?
Answer:
There are 42 animals at the shelter
Helps pls I rlly don’t know ?
Answer:
it's easy u stupido perra
Step-by-step explanation:
Answer:
Your first point should be at (0,-2), because of the y intercept. Then, since the slope is 3, you want to rise 3 and run 1. Go up 3, then to the right 1. That should be your next point. Then do it again, and again, how many ever times you need to.
The access code for a car's security system consists of digits. The first digit cannot be and the last digit must be . How many different codes are available?
Complete Question
The access code for a car's security system consists of 6 digits, the first digit cannot be 8 and the last digit must be odd, how many different codes are available
Answer:
There are 450000 possible different codes
Step-by-step explanation:
Given
Code = 6 digits
First = All but 8
Last = Odd
Required
Determine the possible number of codes
Analyzing each individual digit that makes up the code.
First: can be any of 0,1,2,3,4,5,6,7,9 ----- 9 possible numbers
Second, Third, Fourth and Fifth can be any of 0,1,2,3,4,5,6,7,8,9 since there's no restriction ----- 10 possible numbers
Last can be any of: 1,3,5,7,9 ----- 5 possible numbers
So, the number of possible selections is:
[tex]Selection = 9 * 10 * 10 * 10 * 10 *5[/tex]
[tex]Selection = 450000[/tex]
Hence, there are 450000 possible different codes
What is -(-9y+2)-3y=-8
Lily has 2 rows of 3 model dolls on each of her 3 shelves. How many dolls does she have in all?
Answer:
18
Step-by-step explanation:
Which is the solution for 3 (10x+4) = 8(3x + 6)
Answer:
x=6
Step-by-step explanation:
Answer:
3(10x+4)=8(3x+6)
Step 1: Simplify both sides of the equation.
3(10x+4)=8(3x+6)
(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)
30x+12=24x+48
Step 2: Subtract 24x from both sides.
30x+12−24x=24x+48−24x
6x+12=48
Step 3: Subtract 12 from both sides.
6x+12−12=48−12
6x=36
Step 4: Divide both sides by 6.
6x = 36
Answer:
x=6
A penguin randomly sends three penguins out of his army of 20 penguins on a secret mission. What is the probability that a penguin named Bella will be chosen?
Answer:
1 out of 17
Step-by-step explanation:
A bus travels at 182 miles in 4 hours. How many miles can the bus travel in 1 hour?
Answer: 45.5 miles
Step-by-step explanation: divide182 by 4
Answer:
182/4=45.5
the bus travels 45.5 miles in 1 hour
I hope this helps!!
Step-by-step explanation:
Mrs. Larson was making gift bags for the 6 students in her reading group she was putting little erasers in the bags she had bag of 20 erasers how many erasers did each student get show all work
Answer:
each student gets 3 erasers
Step-by-step explanation:
You have to divide 20 total erasers by the 6 students and you get about 3.33... and this number rounded down is 3.
Have an stupendous day! I hope this answer was helpful to you.
Each student get 3 erasers.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Total number of students = 6
Number of erasers = 20
Now,
Since, Total number of students = 6
And, Number of erasers = 20
Hence, Number of eraser getting by each students = 20 ÷ 6
= 3.33
Thus, Each student get 3 erasers.
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Find the exact value of sin A in simplest radical form.
Answer:
[tex] \sin A= \frac {1} {\sqrt {82}}[/tex]
Step-by-step explanation:
[tex]\sin A= \frac {BC} {BA} \\\\
\sin A= \frac {1} {\sqrt {82}} \\\\[/tex]
The exact value of sin A in simplest radical form is 1 /√82.
What is sine?In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.
Now from the given triangle we have,
Hypotenuse, AB = √82
Perpendicular, BC = 1
Base, AC = 9
Since, sine function is the ratio of the length of the opposite side to that of the hypotenuse.
Thus, Sin A = Perpendicular / Hypotenuse
⇒ Sin A = 1 /√82
which is the required the exact value of sin A in simplest radical form.
Thus, the exact value of sin A in simplest radical form is 1 /√82
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