Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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heloooo
(-24) + (-25) =
la respuesta es (-24)+(-25)-49
Answer:
- 49
Step-by-step explanation:
= -24-25(because - and + becomes -)
= -49
Please help will give brainliest.
Answer:
13 petunias
Step-by-step explanation:
13x7=91
9x8=72
add them and you get 163
-1/4(d+1)<2
HELP ME PLEASE
Answer: u suck at math just dont do it duh
Step-by-step explanation: its five
Ez points-
2.72 divided by 3
Answer:
2.72/3=0.907 (correct to three decimal places)
Step-by-step explanation:
Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45
Answer:
x = 14
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW :-
Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.___________________________________________________________
In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.
As they are supplementary angles , their sum will be 180°.
So ,
[tex](3x) + (7x + 40) = 180[/tex]
[tex]=> 3x + 7x + 40 = 180[/tex]
[tex]=> 10x + 40 = 180[/tex]
Substracting 40 from both the sides ,
[tex]=> 10x + 40 - 40 = 180 - 40[/tex]
[tex]=> 10x = 140[/tex]
Dividing both the sides by 10 ,
[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]
[tex]=> x = 14[/tex]
PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY
Answer:
Step-by-step explanation:
5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.
You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.
Use the coordinates of the points to determine the slope of the line.
slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3
The slope-intercept equation of the line is y = 3x+1
:::::
7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.
The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?
Answer:
125 cubic cm
Step-by-step explanation:
Length^2 = 25 so each side length is 5cm
5^3 = 125 cubic cm
Three farmers, share some
bags of fartilizers in the ratio
3:4:5. If the smallest
Share is 18 bags, find the
largest Share
Processes
8. &Practices Model Math Today 25 girls and 20 boys rode their
bikes to school. Each bike rack at school holds 5 bikes. How many
bike racks were filled?
Answer:
9 bike racks
Step-by-step explanation:
25 girls. 20 Boys
20+25=45
Each bike rack hold 5 bikes
45÷5= 9
Sally has 21 books sam has 24 time books than Sally how many books does Sam have
Can you delete my comment? I made a mistake-
Sally's books = 21
Sam's books
= 24 times Sally's books
= 24 times 21
= 24 × 21
= 504
A car travels 208 miles in 3 hours and 15 minutes. How many miles does it travel per hour?
Answer:
64 miles
Step-by-step explanation:
3 hours and 15 minutes = 3.25 hours (since 15 minutes is a quarter of an hour)
so 208 miles in 3.25 hours can be written as
208 miles / 3.25 hrs = 208/3.25 miles/hrs (or miles per hour)
=64 miles per hour
help please!!
3+12-9=
(7+4)x3-2=
2 ⁴ - 6 divided by 2 =
5+4x(2+7) =
Step-by-step explanation:
6
11х3-2=33-2=31
(16-6):2=10:2=5
5+4х9=5+36=41
Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The rest will get vanilla icing. How many cupcakes have vanilla icing?
Answer:
12 cupcakes have vanilla icing
Step-by-step explanation:
Will marks as brain Uh I don’t have to watch ads for like 40 questions and I don’t know if you just get them for answering questions or if I accidentally bought premium help
Which side lengths form a right triangle?
Choose all answers that apply:
A
3, 27,6
B
8,15,17
C
5,5, 50
B: 8,15,17
These lengths forms a
right angle triangle.
Find the value of x.
A.
10
B.
12
C.
27
D.
43.5
Answer:
C. 27
Step-by-step explanation:
well we can use the pythagorean theorem for this and disregard the 11. so we have the hypotenuse and one side so therefore a^2+b^2=c^2 and if we plug in the numbers it would look like this
16.5^2+x^2=29^2
272.25+x^2=841
x^2=568.75
and from multiple choice we can infer that the answer is obviously bigger than 16.5 because in the picture x is a longer side but it is smaller than 29 and the only answer in between those two numbers given would be C. 27
In this rectangle the base is 1 cm more than the hight
Answer:
the equation is base = height + 1
If 3 people can complete half of a job in 20 days, how long would it take for 12 people to do the complete job?
Answer:
If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days
mark as brainlist
These figures are congruent. What is the measurement? pic below
Answer:
i dont know
Step-by-step explanation:
Find dy/dx using logarithmic differentiation.
y = (3 + x)^4/x , x>0
Solve the inequality 5 - 4x > -x+8
Answer:
x<-1
Step-by-step explanation:
5-4x>-x+8
adding 4x to both sides we get
5>3x+8
subtracting eight from both sides we get
-3>3x
dividing by three on both sides we get
-1>x
or x<-1
hope that helps if it does please mark my answer as brainliest.
(0) A baker puts 10 kg of sugar equally into 8 bags. How much sugar is there in
each bag?
Answer:
1.25 kg of sugar in each bag
Step-by-step explanation:
10/8 = 1.25
Please give a 5 star rating if this helped!
Solve log base 2 of one over thirty two.
Answer:
Step-by-step explanation:
Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х
Answer:
10.5miles
Step-by-step explanation:
Can someone help me with this?
Answer:
ᴀ.)
Step-by-step explanation:
Hope you get it right!! :)
probar por medio de induccion
Answer:
Wt
Step-by-step explanation:
5/6+5/12
For brainliest
Answer:
5/4
Step-by-step explanation:
5/6+5/12
or, {(5×2)+5}/12
or, 15/12 = 5/4
What is the average rate of change of the function g(x) = 4 from x = 1 to x = 5? Show your work.
9514 1404 393
Answer:
0
Step-by-step explanation:
The average rate of change of function g on the interval [a, b] is ...
m = (g(b) -g(a))/(b -a)
For g(x) = 4, the average rate of change on the interval [1, 5] is ...
m = (g(5) -g(1))/(5 -1) = (4 -4)/(5 -1) = 0/4 = 0
The average rate of change is zero.
__
The function describes a horizontal line, which has a slope of 0 everywhere. Its average rate of change will be 0 on any interval.
the standard form of the equation through the points (-2,-2) and (2,-1)
Answer:
y = 1/4x - 3/2
Step-by-step explanation:
for slope, use formula (y2-y1)/(x2-x1):
(-1-(-2))/(2-(-2))
=1/4
use formula y=mx+b for equation:
y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))
-1=1/4(2)+b
-1=1/2+b
-3/2 = b
equation:
y = 1/4x - 3/2
2x + y = 7
-2x - y = 6
Solve systems of equations by substitution
Answer:
No solution.
Step-by-step explanation:
2x + y = 7
-2x - y = 6
From the first equation:
y = 7 - 2x
Plug this into the second equation:
-2x - (7 - 2x) = 6
-2x + 2x = 6 + 7
0 = 13
this doesn't make sense so theer is:
No solution.