solve: 2√(3) cos²A= sinA
Answers
Answer:
Step-by-step explanation:
[tex]2\sqrt{3}\cos ^2\left(A\right)=\sin \left(A\right)\\\mathrm{Subtract\:}\sin \left(A\right)\mathrm{\:from\:both\:sides}\\2\sqrt{3}\cos ^2\left(A\right)-\sin \left(A\right)=0\\-\sin \left(A\right)+\left(1-\sin ^2\left(A\right)\right)\cdot \:2\sqrt{3}=0\\\sin \left(A\right)=-\frac{2\sqrt{3}}{3},\:\sin \left(A\right)=\frac{\sqrt{3}}{2}\\\mathrm{Combine\:all\:the\:solutions}\\A=\frac{\pi }{3}+2\pi n,\:A=\frac{2\pi }{3}+2\pi n4[/tex]
Related Questions
si el impuesto sobre ventas de un DVD de $16.00 es 1.40$ ¿a cuanto ascendería el impuesto sobre ventas de un reproductor Blue-ray de $120.00?
Answers
Step-by-step explanation:
okay Hoy quiere algún Mando único
Question 4
1 points)
The high school football game started at 7:15 P.M. and ended at 10:44 P.M. How
long did the game last?
A. O 3 hours 29 minutes
B. O 3 hours 9 minutes
C. O 2 hours 29 minutes
D. O 2 hours 9 minutes
Next >
< Back
Clear Answer
Answers
14 is 24% of what number? (Write your final answer as a mixed number.)
Answers
Answer:
58 1/3
Step-by-step explanation:
14=.24x
14*25/3 = x
58 1/3
2=n over 3 what does n equal?
Answers
Answer:
n = 6
Step-by-step explanation:
2 = [tex]\frac{n}{3}[/tex]
multiply both sides by 3
=> n = 6
Answer:
n = 6
Step-by-step explanation:
If 2 = n/3, then n = 6, because 3 times 2 is 6 (2 of 3 is 6)
(side note, this might not be what you are looking for soo)
Help with number 10! Step by step please!
Answers
9514 1404 393
Answer:
x = -9 (as you know)
Step-by-step explanation:
[tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]
_____
I find it helpful to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answers
Answer:
$15.19
Step-by-step explanation:
8.5% = 0.085
0.085 x 14 = $1.19
1.19+14= $15.19
A shop advertised "Everything half price
in our sale”, but also now advertises that
there is "An additional 15% off sale
prices":
Overall, this is equivalent to what
reduction on the original prices?
Answers
Your answer would be 57.5%.
use the graph of the function f shown to determine the y intercept
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Answer:
That's hard wish you the best tho.
Step-by-step explanation:
Find the sum of the first 8 terms of the following series, to the nearest integer.16,20,25
Answers
The correct answer is 317.
The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 317
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The series is,
⇒ 16, 20, 25,
Now, We get;
Common ratio = 20 / 16 = 5 / 4
And, 25 / 20 = 5 / 4
Thus, The series is geometric series.
Hence, The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)
⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)
⇒ S₈ = 16 × 4 (325,089 / 65,536)
⇒ S₈ = 317.46
⇒ S₈ = 317
Thus, The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 317
Learn more about the geometric sequence visit:
brainly.com/question/29632351
#SPJ2
What is the approximate value of Log Subscript 6 Baseline 25? 0.233 0.557 0.620 1.796
Answers
Answer:
1.796 d
Step-by-step explanation:
The approximate value of Log subscript 6 baseline 25 (Log₆ 25) is 1.796
AssumptionLet Log₆ 25 be x
How to determine the value of xLog₆ 25 = x
25 = 6ˣ
Take the log of both side
Log 25 = Log 6ˣ
Log 25 = xLog 6
Divide both side by Log 6
x = Log 25 / Log 6
x = 1.796
Thus,
Log₆ 25 = x
Log₆ 25 = 1.796
Learn more about logarithm:
https://brainly.com/question/7302008
What formula can be used to find circumference? Choose all that what formula can be used to find circumference?choose all that apply apply.
Сл
2πr
πd
2πd
Answers
Answer:
2
Step-by-step explanation:
because it can find the circumference
What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?
(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft
Answers
Answer:
40 ft
Step-by-step explanation:
lxbxh is 40 hope it helps have a great day Mark me as brainiest please
5+2+4+6+7-9+8-0+9-3=
Answers
Step-by-step explanation:
5+2+4+6+7-9+8-0+9-3
7+10+15-9-0+9-3
32-9+9-3
41-12+9
50-12 = 38 ans
If one side of a cube measures x cm what is the volume
Answers
Answer:
The volume is x times x times x which is x^3 :)
can someone find the length of the spine plss
Answers
Answer:
48.2 cm
Step-by-step explanation:
The bottom side of the large triangle has length 78 cm.
The bottom side of the right triangle has length 78 cm/2 = 39 cm.
Now we use the Pythagorean theorem to find the vertical side, the spine.
39² + s² = 62²
s² = 3844 - 1521
s² = 2323
s = 48.2
Answer: 48.2 cm
Use the graph to write a linear function that relates y to x
y=
Answers
Answer:
y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-2}{6-0}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = [tex]\frac{4}{3}[/tex] x + 2 ← equation of line
#9 What is the RADIUS of this circle?
5 cm
Someone plz help my friends ain’t responding
Answers
Answer and Step-by-step explanation:
The radius of this circle is 5 cm.
This is because the radius of any circle is the distance from the middle of the circle to the edge of the circle. The diagram shows us 5cm as that distance.
#teamtrees #PAW (Plant And Water)
How do you know if alternate interior angles and alternate exterior angles have the same measure?
Plz be specific..Will give BRAINLIEST!!!!!!!
Answers
Answer:
If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.
Step-by-step explanation:
Hope this helps
Which of these equations shows a proportional relationship between x and y
F. y=-1/3x
G. y=-x+1
H. y=3/2x+3/2
J. y=2x-4
Answers
Answer:
it is H any help I'm glad to help
A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
A) The true relationship between heart rate and maximal oxygen uptake is linear.
B) The correlation between heart rate and maximal oxygen uptake is not equal to zero.
C) The confidence interval is not biased.
D) The point (x_,y_) falls on the regression line. The X and Y have a line on top.
E) The slope is not equal to zero.
Answers
Answer:
C) The confidence interval is not biased.
Step-by-step explanation:
When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.
The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
What are explanatory and response variables?Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.
The response variables are also called dependent variables and their values depend on the values of the explanatory variables.
For this case, it is considered that:
Explanatory variable: Heart rateResponse variable: Maximal oxygen uptakeIt is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.
Thus, the most important condition that must be checked is:
Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).
Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
Learn more about correlation here:
https://brainly.com/question/10725272
A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?
Answers
Answer: 90000 Pairs at 2030
Step-by-step explanation:
2030 - 2016 = 14
14 x 5 = 70
30% of 300k = 90000
Differential Equations and Slope Fields
Answers
Answer:
9x2−x4+y(x2+9)2x(x2+9)2
Step-by-step explanation:
URGENT!!!! I NEED A SMART PERSON!!!!
Randall is mapping the area of his town using the map below and placing the town hall at the origin. The shopping mall is three units north of the movie theater. A parking garage is located one unit south of the shopping mall. The movie theater is six units to the east of the town hall. A beauty parlor is reflected across the x-axis from the location of the parking garage.
Locate the shopping mall, movie theater, parking garage, and beauty parlor on the map.
Answers
Answer:
Shopping Mall: (-6,3)
Movie Theater: (-6,0)
Parking Garage: (-6,2)
Beauty Parlor: (-6, -2)
Explanation:
The starting point here is the (0,0), or what would be considered according to the reading the "Town Hall".
The shopping mall is a point at the west (left) of the graph. We can know this because during the reading it is specified that the city center is 6 units east of the movie theater, which is only three units south of the mall. This means that the same distance of x between the Shopping Mall and the line y would be the same as the movie theater to the town hall, adding three units of y: (-6, 3)
Knowing this point, the Parking Garage is easier to find since it is just one unit below the mall. (-6, 2). Only the y value changes.
Knowing where the garage is, the reading says 3 units further down is the Movie Theater —3 units to the south of the shopping mall, and 2 in the same direction of the garage, the red point is marke d at (6.0).
The Beauty Parlor is the reflection of the parking garage across the x-axis. To find the reflection of a graph point across the x-axis, the formula is: (x, y) → (x, -y). Hence, the garage point, which we said was (-6, 2), becomes (-6, -2). The -6 (x) remains negative, while the 2 changes its sign.
12. The product of 0.08 and 0.7 is 5.6
A) True
B) False
Answers
Answer:
B (false)
Step-by-step explanation:
it is 0.056
The table and graph below show the enrollment in Italian, Chinese, and German classes at two schools.
Which statement is NOT supported by the data distributions?
A.
There is a greater number of students in the Chinese and German classes combined at School B than at School A.
B.
There is a greater percentage of students in the Italian and German classes combined at School A than at School B.
C.
65% of the total enrollment at School A and School B combined are in the Italian class.
D.
There are 2 more students taking Italian at School A than are taking Chinese at School B.
Answers
Answer:
The answer would be D. There's 2% more students taking Italian at School A, not 2 more students total.
Angles X and Y are vertical. If angle X is 91 degrees, what is the measure of angle Y
Answers
A straight line is 180 degrees so I subtracted 91 from 180 to get my answer 89
Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program
Answers
Answer:
Yes
Step-by-step explanation:
II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.
Answer:
yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.
I need help
I missed the last classes and missed the explanation of the content
Answers
Answer:
a) 3.625 or [tex]\frac{29}{8}[/tex]
b) 7.05 or [tex]\frac{141}{20}[/tex]
what is the following product?
square root of 30 times the square root of 10
Answers
Step-by-step explanation:
That 'd be the square root of 300, which is equivalent to 10sqrt(3).
Can someone please help me
Answers
Answer:
COULD YOU PLEASE HELP ME ON MY RECENT QUESTION ASAP
Step-by-step explanation: