Answers
Answer:
The answer is 30°
Step-by-step explanation:
[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]
Related Questions
Points (0,1) and (2,7) fall on a particular line. Write the equation of the line in slope-intercept form (y=mx+b)
Answers
Answer:
Slope:
3
y-intercept:
(0, 1)
HELPPPPPPP pleaseeeee mathhhh
Answers
9514 1404 393
Answer:
y = 1/6x
Step-by-step explanation:
The constant of proportionality is the ratio of y to x:
k = y/x
Using the point you have circled, it is ...
k = 2/12 = 1/6
Then the equation y = kx can be written:
y = 1/6x
What's the answer pleaseewwww
Answers
Answer:
(B)
Step-by-step explanation:
You are welcome and can you please give me brainliest
Pls help FAST I’m giving brainliest
Answers
Find two points and slope !
Answers
Answer:
slope = 1
two points: (0,-6) and (6,0)
Step-by-step explanation:
Figuring out the slope:
Since we have the two points, we would need to use the slope formula of:
(y2-y1)/(x2-x1)
So it would be (-6 - 0) divided by (0 - 6) = -6/-6 = 1
slope is 1
Write the equation of the line that passes through the points (1,4) and (1,-3).
y = -7x+11
X=1
y = 7x - 3
Answers
if you try and find the gradient which is change in y/ change in x so 7/0 you get 0 (no gradient). And it can’t be y= 1 as the y values are 4 and -3
Is (9, 0) a solution to the equation y = 9? yes no
Answers
Answer:
I'm going to say no
Step-by-step explanation:
Because y in the pair y is zero not 9.
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles
A = 59°, a = 13, b = 14
Answers
Lets find remaining angles are B and C and the remaining side c.
Law of sines : a/sinA = b/sinB ⇒ sinB = (b*sinA)/a
sinB = (14*sin59o)/13 = (14*0.857167)/13 ≅ 0.923
B ≅ sin-1(0.923) ≅ 67.384.
There are two triangles, B₁ = 67.4 and B₂ = 180 - 67.4 = 112.6
find the angle c for B₁ = 67.4
A+ B +C = 180.
Angle C = 180 - (59 + 67.4) = 53.6.
Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB
c = (14)*sin(53.6)/sin(67.4) = (14)*(0.805)/(0.923) = 12.21.
find the angle c for B₂ = 112.6
A+ B +C = 180.
Angle C = 180 - (59 + 112.6) = 8.4.
Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB
c = (14)*sin(8.4)/sin(112.6) = (14)*(0.146)/(0.9232) = 2.27.
Answer:
67.4°, C = 53.6°, c = 12.2; B = 112.6°, C = 8.4°, c = 2.2
a/sinA=b/sinB=c/sinC
a/sinA=13/0.8572=15.1662
sinB=b/a *sinA
sinB=14/13 *sin59=0.9231
B=67.4
B1=90+22.6=112.6
because sin67.4=sin112.6=0.9231
C=180-59-67.4=53.6
C1=180-59-112.6=8.4
c=a* sinC/sinA=13* sin53.6/sin59=12.2
c1=a* sinC1/sin59=13*sin8.4/sin59=2.2
She measured the circumference of the globe along the equator to be 12π centimeters. Which of the following measures is closest to the volume of Tiffany’s globe?
Answers
Answer:
117 i think not sure
Step-by-step explanation:
Please answer this I will mark you Brainly if you answer this right
Answers
Answer:
150 This is right 4sure i did this test to.
Step-by-step explanation:
Explain
Help asap!!!!
Around which line would the following cross-section need to be revolved to create a sphere?
circle on a coordinate plane with center at 1 on the x-axis and a radius of 1
y = x
y-axis
x = 1
y = 1
Answers
Answer:
I believe your answer would be y=1.
Step-by-step explanation:
The circle is located with its point on 1 of the x axis, and the cross section would be pulled straight from that term. So the cross section would need to be revolved around y = 1, instead.
This is just my best guess, so I hope it helps!
To get a sphere, we need to do a revolution around the line x = 1.
Which line should we use?
The line that we must use must be a line that divides the circle in two equal parts, so it must pass through its center.
We know that the center of our circle is the point (1, 0).
With that in mind, the two lines that we know that will divide the circle in two equal parts are:
y = 0x = 1(There are more lines, the above two are the simplest ones).
The only one that appears on the options is x = 1, so that is the correct option.
If you want to learn more about circles, you can read:
https://brainly.com/question/25306774
18/20 + 12/20 (simpfiy it )
Answers
Answer:
1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Add the numerators and keep the same denominator.
18/20 + 12/20 = 30/20
30/20 = 1 [tex]\frac{1}{2}[/tex]
Consider points a, b, and c in the graph. Determine which of these points is relative minima on the interval x = –1 and x = –2 in the graph.
Options:
1.)B
2.)A and B
3.)C
4.)A
Answers
Answer:
as we can see here point {\color{Red}a} lies on the interval (-2, -1)
so option A is correct
Step-by-step explanation:
The required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.
Given that,
A Curve is shown on the graph,
In the interval of x = -1 and x = -2, relative minima is to be determined.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Since,
A minimum of the curve it that point where the slope of the curve is zero and at that point where the slope is zero the neighboring values must be greater to the point on the curve.
So point a is required minima where the slope is zero and also neighboring values are greater than a
Thus, the required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
Wallace has 1/2 gallon of milk. He wants to pour it into 4 smaller containers putting the same amount in each container
Answers
Answer: c. 1/2 /4
Step-by-step explanation:
There is a 1/2 gallon of milk.
This 1/2 gallon is pour in equal amounts into 4 small containers which means the 1/2 gallon was divided into 4 places.
Formula is therefore:
= 1/2 ÷ 4
= 1/2 /4
When solved you will get a result of:
= 1/8 gallons
cos4A+sin4A-2cos2Asin2A=(2cos2A-1)2 prove it.
Answers
cos4A-sin4A=2cos2A-1
proved below.
Step-by-step explanation:
Given:
cos^4A-sin^4A=2cos^2A-1
LHS=cos^4A-sin^4A
=[cos^2A]^2-[sin^2A]^2
=[cos^2A+sin^2A][cos^2A-sin^2A]
=[1][cos^2A-(1-cos^2A)] [ cos^2A+sin^2A=1]
=[cos^2A-1+cos^2A]
=2cos^2A-1
=RHS.
funny corona-virus meme
Answers
Answer:
lol thats funny
Step-by-step explanation:
hahahahahahahahahahahahahahahahahahahahahahahaha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! That is funny;)
Daily ticket sales for a music festival are as follows: 454, 635, 454, 843, 1951, 1999. What are the mean, median, and mode of the data?
Answers
The problem is a word problem: The sum of two consecutive odd numbers is 72. find the numbers
Answers
Answer:
35 and 37
Step-by-step explanation:
consecutive ODD numbers, 35 then 37.. 35+37 = 72
The sum of my number and two and two thirds is seven. What is my number?
7 is in one box. Below it are 2 boxes. N is in one. 2 and 2-thirds is in the other.
Check all that apply.
The variable, n, represents the unknown number.
The unknown number and 2Two-thirds equals 7
4One-third+2Two-thirds= 7
9Two-thirds- 2Two-thirds= 7
n = 4One-third
Answers
Answer:
1,2,3,5
Step-by-step explanation:
Answer:
abce
Step-by-step explanation:
The cost of tickets to a school play are $10 for adults and $6 for children under 12. If there were a total of 100 tickets sold to the play on a certain night, what equation would you use to represent the total ticket sales, T, if the number of adult tickets can be represented by a. Show and explain each step to create the equation.
Answers
Answer:
10a+6b=T------------2
Step-by-step explanation:
Given data
Let the number of adults be a
and the number of children be b
we are told that the total tickets is 100
hence
x+y=100-------------1
The cost of adult ticket = $10
The cost of children ticket = $6
since the total cost is T
Hence
10a+6b=T------------2
What is 2/3 divided by 6/12? REDUCE ANSWER TO SIMPLEST FORM.
Answers
Answer:
1 1/3Step-by-step explanation:
To divide fractions, multiply by the reciprocal.
So we have:
2/3 x 12/6 = 24/18 = 4/3 = 1 1/3
Given the expression below, identify its factors.
3a + 4b– 7c - 12
Answers
Answer:
i dont think you can solve this because
The expression is not factorable with rational numbers.
there are no like terms
Will Mark brainliest if answer both correctly / What is X= ? / conditional statement
Answers
Explanation:
For the 1st question:
tan = opposite / adjacent
tan 30 = x / 18
18 tan 30 = x
x = 10.4
For the 2nd question,
If a triangle as an angle of 90 degree, it is 100% a right triangle.
Hope it helps :), mark me brainliest please!
What is the difference between -2^4 and (-2)^4
I know the answer but how do you explain it?
Answers
Answer:
no difference
When you multiply negative numbers together an even number of times, they change from negative to positive.
Step-by-step explanation:
Having trouble solving this:
Answers
Answer:
The answer is 24*(1/5)........
Answer:
the answer is D) 121/500
Step-by-step explanation:
I need help with my last 2 problems
Answers
Answer:
19)2862 is how old the grecian pottery thing is
20)1260 calories in the whole bread
Step-by-step explanation:
954x3=2862
210x6=1260
can i get brainliest plzzzz
This circle graph shows how Jimmy spent his time during the last 24 hours.
How much more time did he spending watching T.V. and Talking on the Phone than he did Going to School?
8 hours
5 hours
1.92 hours
1.2 hours
Answers
Answer:
Excess time = 1.2 hour
Step-by-step explanation:
Given:
Total time = 24 hours
Talking on phone = 17 %
Sleeping = 33%
Going to school = 25%
Studying = 4%
Eating = 8%
Computation:
Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying - Studying - Eating
Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%
Watching TV percent = 13%
Time taken by school = 24 x 25%
Time taken by school = 6 hour
Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)
Time taken by watching T.V. and Talking on the Phone = 7.2 hour
Excess time = 7.2 - 6
Excess time = 1.2 hour
Sally has 30 feet of ribbon. She cuts strips each of length 2 2/5 feet from the ribbon. Sally says I can cut 13 of these strips from this ribbon.
Answers
Answer: See explanation
Step-by-step explanation:
For us to know the number of strips that Sally can cut from the ribbon, we have to divide 30 feet by 2 2/5 feet. This will be:
= 30 ÷ 2 2/5
= 30 ÷ 12/5
= 30 × 5/12
= 25/2
= 12 1/2 strips
Therefore, the maximum number of strips that Sally can cut is 12 and not 13.
help plsss how do you find the size of angle ABE
Answers
Answer:
∠b = 90°
Step-by-step explanation:
If you wrote it correctly then ∠d will = 90°, right?
We have AB ║(which is parallel to) D => ∠b = ∠d = 90°
P/S: I think that you took the wrong photo, the right question should be above. I'm very please if you can take it again and I will write the right solution down below in the comment section (if u don't mind)
Cash loan $100 20.0% 3 years $6 (100 x .2 x .3) $106 ($100 + $6) Big-screen TV $500 9.0% 4 years $ (500x $ College loan $13,000 4.5% 15 years $ $
Answers
Answer:
Cash loan = $160
Big screen TV = $680
College loan = $$21775
Step-by-step explanation:
Cash loan :
Loan amount or principal = $100
Interest rate, r = 20.0%
Time, t = 3 years
Using the relation :
Simple interest = Principal * rate * time
$100 * 0.2 * 3 = $60
Final amount = loan amount + interest on loan
Final amount = $100 + $60 = $160
Big Screen TV:
Principal = $500
Rate, r = 9.0%
Time, t = 4 years
Interest amount = (500 * 0.09 * 4)
Interest amount = $180
Final amount = principal amount + interest on loan
Final amount = $500 + $180 = $680
College loan
Principal, = $13,000
Rate, r = 4.5%
Time, t = 15 years
Interest amount = (13000 * 0.045 * 15)
Interest amount = $8775
Final amount = principal amount + interest on loan
Final amount = $13000 + $8775 = $21775
