Answer:
[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]
Can someone help me please ?
Answer:
=
Step-by-step explanation:
1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.
2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.
3. 2 and 2 are equal.
Therefore, the correct symbol is =.
SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?
Answer:
Step-by-step explanation:
0.15x-0.08(26,500-x)=98.00
15x-212000+8x=98,500
23x+212000=98,500+212000
23x/23= 310500/23
x = 13500 (was invested in the account that gained 15% )
26500-13500=13000 (was invested in the account that lost 8%.)
PLEASE HELP ME WITH GEOMETRY 15 POINTS
100 points for right answer
Answer:
x=6
Step-by-step explanation:
Step 1: Cross-multiply.
x−3 / 5 = 6 /10
(x−3)*(10)=(6)*(5)
10x−30=30
Step 2: Add 30 to both sides.
10x−30+30=30+30
10x=60
Step 3: Divide both sides by 10.
10x 10 = 60 10
Answer:
hope it helps you................
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction
Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, supposing that the first person chosen is a boy:
There will be 27 students.Of those, 12 are going to be boys.Hence:
[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]
There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684
Find the value of x.
No links please!
Answer:
Step-by-step explanation:
tan(26)=42/x hence x=42/tan(26)=86.113
Solve for X: square root 2x power of 2 +5 = 2
A. plus and minus 1
B. square root 2
C. plus and minus 2
D. no solution
Help please guys is this right?
Answer: Correct, are you dragging the line across?
If y = 132 when x =11, what is the value of y when x = 17?
Answer:
204
Step-by-step explanation:
write 47% as a fraction is simplest form.
Answer:
47/100
Step-by-step explanation:
47 = 0.47 = 47/100
17 + 16s = -16 + 19s
Solve for s
Answer:
s is equal to 11
Hope this helps
Answer:
s=11
Step-by-step explanation:
17 + 16s= - 16 + 19s
resta 19s en los dos lados
17+ 16s – 19= -16
combina 16s y 19s para obtener -3s
17 – 3s = -16
reta 17 de -16 para obtener -33
-3 =
divide -33 entre -3 para obtener 11
s=11
What is the x and y intercept of 2.5x+8y=240 please show your work.
Answer:
The x and y intercept are (96,30)
Step-by-step explanation:
8y=240-2.5x
y=240/8-2.5x/8
y=30-0.3125x
The y intercept=30
The x intercept=96 thus 30=0.3125x,x=30/0.3125
What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...
A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n
Answer:
A.) 4 * (1/5)^(n-1)
Step-by-step explanation:
a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4
a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5
a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25
a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125
a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625
. . .
The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Given sequence,
4, 4/5, 4/25, 4/125, ...
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...
Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].
Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
#SPJ5
find the missing side lengths. leave your answers as radicals in simplest form.
u=?
v=?
WILL MARK BRAINLIEST ANSWER
Answer:
v = 1
u = 2
Step-by-step explanation:
Given is a special right triangle with angle measures as follows:
90-60-30
The side lengths would be :
2x- x[tex]\sqrt{3}[/tex]-x
in the image it shows that the second side length (the one that sees angle measure 60) is [tex]\sqrt{3}[/tex] from this we can conclude x = 1 so:
v = 1 and
u = 2
Help please thank you!
Dalawang batong itim
Sa tabi mo.
[tex] \: \: [/tex]
Step-by-step explanation:
I havenot understand queation
*HELP*
Which of the following best describes aspect ratio?
Group of answer choices
A computing error caused by switching two adjacent digits.
An average resulting from the multiplication of each component by a factor reflecting its importance.
An indicator, sign or measure of something.
The ratio of the width to the height of a television screen.
Answer:
: a ratio of one dimension to another: such as. a : the ratio of span to mean chord of an airfoil. b : the ratio of the width of a television or motion-picture image to its height.
Step-by-step explanation:
answer question 7, please with steps
Answer:
Angles FVE, FVD, and EVD have V as a vertex
Step-by-step explanation:
If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.
Answer:
All angles in question 7 have v as a vertex
Step-by-step explanation:
Vertex just means corner, so if v is the corner in the Angle then it has v as a vertex
Multiply out and simplify:
3(X-3) + 2(x-5)
Answer:
5x-19
Step-by-step explanation:
distribute first
3x-9+2x-10
add like terms
5x-19
I am confused if someone could explain this it would be greatly appreciated
If A : B = 5 : 8 and B : C = 4: 3, A : B : C =??
Answer:
A:B:C = 5:8:6
Step-by-step explanation:
You don't have to change A, you only have to change B and C in the second ratio given. First, B is 8 and secondly, B is 4. You can multiply 4 in the second ratio and make it 8, but, remember, always do the same change to the other side too. So, if you change the 4 to 8 by multiplying by 2, multiply 3, which is C, by 2 too. Then, you get B:C as 8:6. Lastly, you get the final answer as 5:8:6.
What is the sum of the 3rd
prime number and the 2nd
square number?
Step-by-step explanation:
First 3 Prime Numbers are
2 , 3 , 5
Therefore, Sum of the square of these numbers will be
2^2 + 3^2 + 5^2
= 4 + 9 + 25
= 38
Hence the answer is 38
Hello there!
The third prime number is
[tex]5.[/tex]
The second square number is 4. Add them together and get 9 as your answer.
Now, what is a prime number? It's a number that has only 2 factors (1 and itself)
If you multiply a number times itself, you get a square number.
Hope this helps you!
~Just an emotional teen who listens to her favourite songs
[tex]Silent Nature[/tex]
The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP
1. 2. 5. 10. Euro
2. ? ? ? US dollars
Answer:
$2, $4, $10, $20
Step-by-step explanation:
1*2=2
2*2=4
5*2=10
10*2=20
you roll a standard die. you win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. what is the expected value of a single roll?
Answer:
$0
Step-by-step explanation:
The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.
(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)
Answer:
1 dollar
Step-by-step explanation:
Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)
I hope im right :D
Graph the linear equation.
3x - 2y = 6
Answer:
2x -2y -6 =0. ........
Can someone help me with number 5 :((
Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. PART A Use a model to represent the relationship between the feet of cotton cord and the number of key chains. PART B Use the model to explain how to find the number of feet of cotton cord Lucia needs to make 5 key chains.
Lucía needs 13.33 feet of cotton.
Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:
8CC = 3KC 3 = 8 5 = X 5 x 8/3 = X 40/3 = X 13.33 = X
Therefore, Lucía needs 13.33 feet of cotton.
Learn more in https://brainly.com/question/13019339
8h-2>3h+2
solve for h
Answer:
h >4/5
Step-by-step explanation:
8h-2>3h+2
Subtract 3h from each side
8h-3h-2>3h-3h+2
5h-2> 2
Add 2 to each side
5h-2+2> 2+2
5h >4
Divide by 5
5h/5 >4/5
h >4/5
Answer:
H can be any number larger than 4/5, i'm pretty sure
Step-by-step explanation:
8h-2>3h+2
8h-3h>2+2
5h>4
h>4/5
After a 25% discount the price of a T shirt was $12 what was the price before the discount?
Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.
Step-by-step explanation:G
Answer:
$16
Step-by-step explanation:
25% is equal to 1/4.
1/4 of 16 is 4.
so if you subtract 4 from 16, it equals 12.
have a lovely day <3
if you sold 60 cups of lemonade , how many cups of orange drink did you sell
Answer: 0, I think, hope this helps
Step-by-step explanation:
Answer:
you sold 40 cups of orange drink.
Step-by-step explanation:
60*2=120 (the cups of lemonade, multiplied by the cost equals how much you earned from lemonade.)
240-120=120 (how much you earned total, minus 120, how much you earned from lemonade, equals the remainder, how much total you earned for the oragne drinks. )
120/3=40 (the amount you earned for the orange drinks, divided by three, how much you earned for each, which equals 40. and equation would be
240=2x+3y
240=2(60)+3y
240=120+3y
240-120=120-120+3y
120=3y
120/3=3y/3
40=y
Hope this helps!