Answers
[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]
[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]
Related Questions
NEED HELP QUICK I WILL GIVE BRAINLIST
Answers
Answer:
What is it that you need?
Which of the following proves these
triangles are congruent?
B
ASA
SAA
neither
Help plz
Answers
Answer: I’m pretty sure it’s SAA
Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.
The statement that proves that the triangles are congruent is SAA
From the figure, we have the following highlights
A corresponding side (S) on both triangles is equalTwo corresponding angles (AA) beside one another are also equalThis means that, the congruent statement is SAA i.e. Side-Angle-Angle
Hence, the statement that proves that the triangles are congruent is SAA
Read more about congruent triangles at:
https://brainly.com/question/1675117
The perimeter of the figure below is 135.8 in.
Find the length of the missing side.
Answers
Answer:
12.3
Step-by-step explanation:
subtract(its me again)
Use the GCF and the Distributive Property to find the sum. 26+39
Answers
Answer:
65--but the method is the important part that the directions indicated.
Step-by-step explanation:
26 + 39
(2 × 13) + (3 × 13)
The GCF is 13.
Factor the 13 out; it's like Distributive Property in reverse.
13 (2 + 3)
13 (5)
65
26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.
Answer:
13(2 +3)
Step-by-step explanation:
26 = 2·13
39 = 3·13
The greatest common factor is 13, so the sum can be written ...
26 +39 = 13(2 +3)
_____
Additional comment
Of course, the value of the sum is ...
13(2+3) = 13(5) = 65
Alternatively, the sum can be evaluated as ...
26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65
Please help I don’t understand please!!!
Answers
Answer:
y>5.5
Step-by-step explanation:
4y+3>2y+14
Subtract 2y from both sides.
2y+3>14
Subtract 3 from both sides.
2y>11
Divide 2 by both sides.
y>5.5
-hope it helps
the (y) and mean 1 and you need to multiply al number
The points (4, 10) and (1,4) fall on a particular line. What is its equation in
slope-intercept form?
Answers
Answer:
Slope of the line (m): 2.0
Y-intercept of the line (b): 2.0
Slope Intercept Form (y = mx + b): y = 2x + 2
Step-by-step explanation:
Slope intercept calculator lol
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer: ($2100+96d) + ($2755+116d)
= $4855+212d
At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?
Answers
Answer:
The temperature decreased by 43 degrees
-43
Step-by-step explanation:
Difference means subtraction
37 - (-6) = -43
I hope this helps!
I need help please I’ll give you five stars!
Answers
If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.
Answers
Answer:
Step-by-step explanation:
a = 0
So that AOB makes a right triangle with sides 3-4-5
Answer:
a = 8
Step-by-step explanation:
Calculate AB using the distance formula and equate to 5
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (3, a )
d = [tex]\sqrt{(3-0)^2+(a-4)^2}[/tex]
= [tex]\sqrt{3^2+(a-4)^2}[/tex]
= [tex]\sqrt{9+(a-4)^2}[/tex] , then
[tex]\sqrt{9+(a-4)^2}[/tex] = 5 ( square both sides )
9 + (a - 4)² = 5² = 25 ( subtract 9 from both sides )
(a - 4)² = 16 ( take square root of both sides )
a - 4 = 4 ( add 4 to both sides )
a = 8
8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___
Answers
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
First of all, we should add 34 and 32:
34+32=66
Now, let's divide both sides by 9:
66÷9=7.3333...
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]
Pls Help T^T ASAP FIRT TO ANSWER GETS BRAINLIEST
Answers
Answer:
The answer would be the third one shaded circle at -1 arrow goes left.
Mark makes bouquet arrangements. He puts 1 tulip for every 4 daisies in each arrangement. The table below shows the number of tulips and daisies Mark uses for different arrangements.
Arrangement Daisies Tulips
1 4 1
2 8 2
3 12 3
4 16 4
How many daisies and tulips will there be in the 7th arrangement?
Answers
Following the proportions given in the table, it is found that in the 7th arrangement, there will be:
28 daisies.7 tulips.From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:
There are 4n daisies.There are n tulips.Hence, in the 7th arrangement, there will be:
28 daisies, as 4 x 7 = 28.7 tulips, as n = 7.You can learn more about proportions at https://brainly.com/question/24372153
Someone pls help me with these 4 questions pls asap for BRAINLIEST and 100 points
Answers
Answer:
5. (-1,-1)
6. (6,-9)
8. (1,2)
9. (-1,0)
Step-by-step explanation:
5. first you add -6 and 6 to cancel out the x and solve for y..once you have your y plug it back into the equation to find x
6. your going to subtract 7 and 8, and then 2 and 2 (this will cancel your ys). solve for x and then plug back in to solve for y.
7. plug -3x+5 into the second equation to find x then plug your x into the first equation to find y
8. same as above but with x then find y
some one plz help!!! due in 10 min
Answers
Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
Look at the picture please help
Answers
Answer:
c
Step-by-step explanation:
First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.
To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.
Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.
please help I give you 30 points
Answers
Answer:
The last one, 14 3/4
Step-by-step explanation:
I hope this helped :)
C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute
Answers
Answer:
he can shoot 12 shots in 1minute
Step-by-step explanation:
3minutes = 36 shots
1 minute= 36 divided by 3 which is equal to 12
How to to it with step by step explanation
Answers
[tex]15^{5} \div 15 ^{7} [/tex]
Whenever the bases are same, powers are different and there is a division sign between them, The powers are subtracted.[tex]a ^{m} \div a ^{n} = a ^{m - n} [/tex][tex]15 ^{ 5 - 7} [/tex]
[tex]15 ^{ - 2} [/tex]
[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]
Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make
Answers
Answer:
63
Step-by-step explanation:
The least common multiple of 7 and 9 is 63
Which explanation correctly tells whether these ratios are equivalent and why?
Yes because 3 x 2 = 6 and 14 x 2 = 28.
No because there is no scale factor to get from 3 to 14.
Yes because 3 x 5 = 14 and 6 x 5 = 28.
No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168.
Answers
Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.
Step-by-step explanation:This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.
=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is the volume of a cube with sides of length 15 mm?
Answers
What is the largest power of 2 that is a divisor of 13^4 - 11^4?
Answers
Answer:
[tex]2^5[/tex]
Step-by-step explanation:
Given:
[tex](13^4 - 11^4)(13^2+11^2)[/tex]
add all together with exponents
=48*290
= Then turn into a smaller exponent
= [tex]2^4 * 3 * 2*145[/tex]
combine like terms
[tex]2^4 *2[/tex]
=[tex]2^5[/tex]
Answer:
5
Step by step explanation :
13^4-11/4=13920
2^5=32
13920÷32=435
Therefore largest power = 5
Please mark me as the brainliest answer
Thank you ☺
#26: Angles
A triangle has angle measures of 42.5° and 86.7º. What is the measure of the third
angle in the triangle?
Answers
Answer:
50.8 degrees is the third angle
If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps
Answers
Answer:
111 minutes and 40 sec
Step-by-step explanation:
11x10=110 minutes
10 sec x 10 = 100 seconds = 1 minute 40 sec
110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds
Which of the following points lie in the solution set to the following system of inequalities? y > â’3x 3 y > x 2 (2, â’5) (â’2, 5) (2, 5) (â’2, â’5).
Answers
Answer:
The concept of identity, the meaning we give to ourselves and our sense of purpose, connects us to others. This concept best illustrates the link between the psychological and ____ system
a drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? What do the x and y intercepts represent?
Answers
Answer:
On average, the workers dig 4.75ft each day. Also, what x and y questions?
Step-by-step explanation:
Take [tex]38/8=4.75[/tex]
I hope you have a great day and make me the brainliest.
The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.
Given that,
A drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water,
the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
The total depth of dig = 38 feet
Total time took to dig 38 feet = 8 days
For 1 day, the depth of the dig = 38 / 8 = 4.75
Now,
Let x is the number of days,
while y be the depth left to dig in feet,
y = 38 - 4.75x
The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.
Learn more about equations here:
brainly.com/question/10413253
#SPJ2
Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm
Answers
Answer:
Step-by-step explanation:
h≈1.91cm
Davens pays $50 each week for guitar lessons. How much will he pay after 3/4 of a year
Answers
there are 52 weeks in a year and 52x.75=39
since it is $50 per lesson you do 39x50=1950, so this is how much he pays after 3/4 of a year.
B =
Round your answer to the nearest hundredth.
Answers
Work Shown:
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(B) = 2/3
B = arcsin(2/3)
B = 41.8103 approximately
B = 41.81
Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.