Answers
Answer:
[tex] \boxed{\boxed{ \red{\: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometry equationPEMDAStips and formulas:[tex] \cos(t) = \sin( \frac{\pi}{2} - t ) [/tex][tex] \sin(t) - \sin(s) = 2 \cos( \frac{t + s}{2} ) \sin( \frac{t - s}{2} ) [/tex]let's solve:[tex] \sf use \: first \: formula : \\ \sin(5x + 4) = \sin( \frac{\pi}{2} - (5 x + 4) )\\ \sin(5x + 4) = \sin( \frac{\pi}{2} - 5 x - 4) \\ [/tex][tex] \sf move \: the \: expresson \: to \: left \: side \: and \: change \: the \: sign : \\ \sin(5x + 4) - \sin( \frac{\pi}{2} - 5 x - 4) = 0\\ [/tex][tex] \sf use \: 2nd \: formula : \\ 2 \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf divide \: both \: sides \: by \: 2 : \\ \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf separate \: the \: equation: \\ \cos( \frac{8x - 56 + \pi}{4} ) = 0 \\ \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex]therefore
[tex] \therefore \: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}[/tex]
Related Questions
ASAP I NEED YOU HELP 10 POINTS MARK YOU BRANLIEST JUST HELP ME!!!!
Choose the Algebraic equation that matches the table
A) y = x - 3
B) y = x + 2
C) y = x - 2
D) y = -x - 2
Answers
Answer:
C) y = x-2
Step-by-step explanation:
0-2= -2
2-2= 0
3-2= 1
4-2= 2
And all of that checks out because the values I just got for y are the same as the table
hope this helps chu <3
The slope and the y-intercept of a line are -3/8 and 1/2 respectively. Write the equation of the line.
Answers
Select all the expressions that represent the area of the large, outer rectangle.
5(2+4)
5⋅2+4
5⋅2+5⋅4
5⋅2⋅4
5+2+4
5⋅6
Answers
5•2+5•4
5•6
They each equal 30; I believe this is right, I haven’t done this in a while. Let me know in the comments
Answer:
Step-by-step explanation:
it would be 5*2*4
5*2+5*4.
Your friend is looking at laptops for college, and is comparing the different
screen sizes. Use the diagram and formula below to find the height of the
laptop screen. Round your answer to the tenths place.
d = √w²+
d= 13.3in
h
w = 11.3
A. h = 7.0 inches
B. h = 12.9 inches
C. h = 10.7 inches
D. h = 9.9 inches
Answers
Given:
[tex]d = 13.3\ in[/tex]
[tex]w = 11.3\ in[/tex]
[tex]d=\sqrt{w^2+h^2}[/tex]
To find:
The value of h.
Solution:
We have,
[tex]d=\sqrt{w^2+h^2}[/tex]
Substituting [tex]d = 13.3, w = 11.3[/tex], we get
[tex]13.3=\sqrt{11.3^2+h^2}[/tex]
Taking square on both sides.
[tex]176.89=127.69+h^2[/tex]
[tex]176.89-127.69=h^2[/tex]
[tex]49.2=h^2[/tex]
Taking square root on both sides, we get
[tex]\pm 7.01427=h[/tex]
[tex]h\approx \pm 7[/tex]
Height cannot be negative so [tex]h=7\ in[/tex].
Therefore, the correct option is A.
Find the missing side. Round your answer to the nearest tenth.
Please help me!!!!
Answers
Answer:7.8
Step-by-step explanation:
Es el máximo común divisor de 48 y 36 es
Answers
Answer:
12
Step-by-step explanation:
48: 1, 48, 2, 24, 3, 16, 4, 12, 6, 8
36: 1, 36, 2, 18, 3, 12, 4, 9, 6
GCF, aka maximo comun divisor = 12
Answer:
12 (lo siento si está mal)
Step-by-step explanation:
log x=4 a.10^x=4 b. e^4=x c. 10^x=x d.e^x=4
Answers
Answer:
Answer: ∫ (x +1 + 1 x. )dx = 1. 2 x2 + x + ln|x| + C. 3. Evaluate the following integrals. (a) ∫. 2. 0 √4 − y2 dy.
Please PLEASE help me!!!
Find AC
Answers
Answer:
AC=AB+BC
x=1+9/3
x =4
Ac = 3(4)+1 + 9
Ac = 12+1+9
Ac= 22
What is the unit rate for the Japanese bullet train?
558 x 3 = 1674 miles per hour
558 / 3 = 186 miles per hour
PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP
Answers
Answer:
186 Miles per hour.
Step-by-step explanation:
558/3
In an animal sanctuary, there are 48 deer and 64 monkeys. Find the ratio of deer to monkeys.
Answers
EXPLANATION: it is 48:64 but you simplify it and you get 3:4 because you divide it by the GCF of 48 and 64, which is 16.
48/16=3
64/16=4
soooooo 3:4
Mary had $70 to spend on 6 books. After buying them she had $16 left. How much did each book cost? Write an equation and show your work.
Answers
Answer:
9
Step-by-step explanation:
(70-16)/6=9
/ = division
Which equation can be used to represent the data in this table?
y=x−2
y = x + 2
y=12x
y = 2x please answer NOW IF YOU ARE IN K12 PLEASE HELP ME AND IF YOU NOW THE ANSWER I PROMISE I WILL GIVE BRANLIEST BUT PLEASE THIS ID FOR PEOPLE IN K12 OR IT DOESNT MATTER AT ALL IF YOU ARENT K12 AND YOU NOW THE ANSWER
Answers
ant Answer:
y=2x
Step-by-step explanation:
y=2x because you go up 2 and 1 to the right meaning, 2 x and 1 y
What is the only difference when solving inequalities?
Answers
Answer:
If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Step-by-step explanation:
Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Select all the statements that are true about rhombus MNPQ.
Answers
Answer:
your answer will be option A and B
Step-by-step explanation:
hope it helps u
have a wonderful day/night
Which statement is true?
The opposite of 6 is - 5, and is located to the right of 0 on a number line.
The opposite of 6 is -, and is located to the left of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the right of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the left of 0 on a number line.
Answers
will mark brainiest pls just lmk
Answers
Answer:
If asking for the distance, the answer would be C.
(m2 – 7m – 6) (7m2 – 3m – 7)
PLZ HELP URGENT WILL GIVE BRAINLIEST
Answers
Answer:
7m^4-52m^3-28m^2+67m+42
Answer:
Step-by-step explanation:
Find mZRPQ.
11
80°
B
S
[P
Q
R
150°
go to (-5, 1)
go to (-4, 2)
a) 115°
b) 350
c) 80°
d) 1500
e) 75°
go to (-2, 1)
go to (6,0)
go to (8,2)
Answers
Answer:
A
Step-by-step explanation:
Angle P is intercepted by two arcs.
SB and RQ.
We can use this theorem,
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
So in other words,
[tex] \frac{80 + 150}{2} = rpq[/tex]
[tex]rpq = 115[/tex]
WILL GIVE BRAINLIEST!! The data set {2,5,q,10,13,16} has mean x¯=9
Find the value of q
Answers
Answer:
#3. 8Step-by-step explanation:
Frequency of data
6Sum of data:
2 + 5 + q + 10 + 13 + 16 = 46 + qSum of data as per mean and frequencies:
9*6 = 54Compare the sums:
46 + q = 54q = 54 - 46q = 8Correct choice is #3. 8
This graph represents a linear function.
Select the equation represented by the graph.
A) y=x−2/3
B) y=−2/3x+1
C) y=−3/2x+1
D) y=x−3/2
Answers
Which number is divisible by 2, 3, and 5?
A. 2025
B 3100
C945
Db1230
Answers
Answer:
D: 1230
Step-by-step explanation:
1,230 is divisible by 2, 3 and 5
A submarine 58 feet below see level. An a airplane is 264 feet above sea level. How far above is the submarine in the plane?
Answers
Answer:
322
Step-by-step explanation:
58+264=322
Answer:
322 feet
Step-by-step explanation:
if the question was two positive heights, you would subtract, and you still do. we find how many inches my father is taller than me by subtracting my height from his, and the same applies to this, though the submarine, being below sea level is at a negative height. when you subtract a negative, it's the same as adding a positive.
264 - (-58)
264 + 58 = 322
Find the deference between
simple etablerst and compoun
interest on 24000 at 10% for
2 years.
Answers
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520
At an ice cream shop, 4 of the last 10 cones sold had cookies and cream ice cream. Considering this data, how many of the next 15 cones sold would you expect to have cookies and cream ice cream?
Answers
Answer:
6 cones
Step-by-step explanation:
4/10=2/5
2/5x3x3=6/15
6 cones
write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
45 : 5
Answers
Answer:
9/1
Step-by-step explanation:
45/5 = 9
Using the Distance Formula
For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)
Answers
Answer:
Step-by-step explanation:
since I did 1 already , i'll do 2 - 6 .. fast
using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]
2) sq rt [ (6-1)^2 + (14-2)^2
sq rt [ 25 + 144]
sq rt [ 169]
13
3) sq rt [ (15 - 8)^2 + (35-11)^2 ]
sq rt [ 49 + 576 ]
sq rt [625]
25
4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]
sq rt [ 64 + 225]
sq rt [ 289]
17
5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]
sq rt[ (-1+2)^2 + (-4+3)^2]
sq rt [ 1 + 1 ]
[tex]\sqrt{2}[/tex]
6) sq rt [ 3-(-3)^2 + (5-5)^2]
sq rt [ (3+3)^2 + 0]
sq rt [ 9 ]
3
:) phew.... :P
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle.
Answers
Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
Find the area of this figure
Answers
Area of triangle
a = 6 ft + 2 ft + 2ft = 10 ft
h = 12 ft
½ * 10 ft * 12 ft = 60 sq ft
Area of square :
a = 6 ft
6 ft * 6 ft = 36 sq ft
Area of this figure :
60 + 36 = 96 sq ft
Answer:
156 ft
Step-by-step explanation: (This does not seem to be in scale)
1. Split into one triangle and one square
2. Find triangle area
12 * 10 = 120 ft
3. Find square area
6 * 6 = 36 ft
4. Area = Atriangle + Asquare
120 + 36 = 156 ft
please help. 5 points!
Answers
what's 100×60÷1×86-89
Answers
Answer:
100×60 ÷ 1× 86-89
6,000 ÷ (-3)
-2000