Answers
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
Related Questions
Please correct me!
( click for full image)
Answers
Answer:
thy would not translate they would rotate
Divide 1 km in the ratio of 3:2. What is the
smaller distance?
Explain how to do this please
Answers
Answer:
3/1 km:2/1km
=3:2
=1,5km
I hope this helps you
Sophia earns $156 each month babysitting. The circle graph shows how Sophia budgeted her babysitting money during the month of May. How much more money did Sophia budget for art supplies and music than food?
Answers
Answer:
$11.70
Step-by-step explanation:
117 - 45% ( Art & Music ) = 64.35
117-64.35 = 52.65
64.35-52.65 = 11.70
Which equation has the solution of X equals negative 11?
Answers
Answer:
D: x+31=20
Step-by-step explanation:
x+31=20
Subtract 31 from each side
x= -11
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}
What is the range of the function?
Answers
Answer:
-9,3
Step-by-step explanation:
The range of the function is {3, 7, -9}.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.
The range of the function is,
= the number of value in the y-coordinate.
= {3, 7, -9}
Therefore, {3, 7, -9} is the range.
To learn more about the function;
brainly.com/question/28303908
#SPJ2
match the following trig ratios with the correct equation for the triangle shown below (picture attached)
Answers
Answer:
a
Step-by-step explanation:
What is 17 percent as a number
Answers
Answer:
0.17
Step-by-step explanation:
17 percent can be turned into a decimal by moving the invinsible dot 2 times to the left. therefore 17% becomes 0.17
Answer:
Well 17 percent of 100 is 17. It really depends on the number that you are finding the percentage of.
First correct answer gets brainliest! All guesses will be reported. Tysm!!
Answers
Answer:
90 in
Step-by-step explanation:
360/60 = 6
15*6 = 90
Triangle a need to be rotated in a 90 degrees counterclockwise
Pick the correct triangle for 90 degree counterclockwise
1.B
2. C
3. D
Answers
Answer:The answer is D
Step-by-step explanation:
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground
Answers
Answer:
78.5°
Step-by-step explanation:
We solve for the above question, using the formula for the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = The distance between the house and the base of the ladder = 4 feet
Hypotenuse = Length of the Ladder = 20 feet
Hence,
cos θ = 4/20
θ = arc cos(4/20)
θ = 78.463040967°
Approximately = 78.5°
Therefore, the angle that the ladder makes with the ground is 78.5°
Can someone help me
Answers
Answer:
1/5 x (6 x 4) goes to less than 24 (ps I’m not sure sorry)
2 x 6 x 4 goes to great than 24
(4 x 6) x (3 - 2) goes to equal to 24
(6 x 4) divide 2 goes to less than 24
(6 x 8) - (6 x 4) goes to equal to 24
6 x (5 - 4) goes to less than 24
9 x 6 / 5 - 3 goes to greater than 24
5 x 1/5 x (6 x 4) goes to equal to 24
Answer:
the answers are in the picture because I wrote them on paper. Hope it helps!
I used a calculator on every problem so they should be correct
PLZ HELP an apple juice container has a tiny hole in it so it is slowly leaking is the container leaks three ounces every 19 minutes how long will it take for 16 ounces of juice in the container to leak out?
Answers
Answer:
the answer is on line and it have the correct work
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.
a. Find the maximum height of the ball.
b. How many seconds will it take for the ball to reach the ground?
Answers
The ball reaches a height of 126.58 ft after 2.8125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(90)/2(-16)
-90/-32
2.8125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 90t
h = -16(2.8125)^2 + 90(2.8125)
126.58 feet
CAN SOMEONE HELP ME WITH THIS QUESTION PLEASE?!!!
Answers
Answer:
Cone or Cylinder, Sphere
Step-by-step explanation:
Answer: The surface area of a cone can be found by drawing a net and adding the area of all their respective two - diamasional surface. Use the formula 4πr2 to find the surface area of a Sphere where r is the radius of the figure.
Step-by-step explanation:
Does someone understand this
Answers
Answer: 61
Step-by-step explanation:
You should break the figure into separate shapes, find the area, and add them together.
Help pls thank you!!!!!!!!!!!!!!
Answers
Answer:
that would be b
Step-by-step explanation:
i am not positive but i am pretty sure it is b
Describe how ∠PTQ and ∠QTS in the figure are related.
Answers
Answer:
their unrelated
Step-by-step explanation:
might look similar but very different from each other
Help I NEED ANSWER IN 5 MINS PLSSSS
Answers
Answer:
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
9
7
= 1.2857142857143
θ =
arctan( ΔY )
ΔX
= 52.125016348902°
ΔX = 49 – 21 = 28
ΔY = 63 – 27 = 36
Distance (d) = √ΔX2 + ΔY2 = √2080 = 45.607017003966
Equation of the line:
y = 1.2857142857143x – 3.5527136788005E-15
When x=0, y = -3.5527136788005E-15
When y=0, x = 2.7632217501782E-15
If 1 Point and the Slope are Known:0.75
choose the correct vertical asymptote(s).
Glven the function, f(x) =
x+1
X-4
O x= -4, x= 4
O x= 4
O x= -2, x = 2
O x= 2
Answers
steve is rolling a six-sided number cube. what is the probability of the cube landing on a six?
Answers
Answer:
1/6
Step-by-step explanation:
Space = {1,2,3,4,5,6}
n(S) = 6
A = Event of getting 6 = {6}
n(A) = 1
P(getting six) = n(a)/n(S) = 1/6
Which is the value of this expression when j = 2 and k = 1?
Answers
Answer:5
Step-by-step explanation:
Just cuz
Answer: -64 or A
Step--by-step explanation:
Simplify the expression
(-3v)^5
Answers
Answer:
=-243v^5
Step-by-step explanation:
=-(3v)^5
=-3^5v^5
=3^5=243
=-243v^5
Helped by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
Answer:
=-243v^5
Step-by-step explanation:
[tex](-3v)^5 = -3 x-3 x-3 x-3 x-3 = -243 ..than..add..the..v..which..equals..--243^5\\[/tex]
I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students, 80 plan to major in mathematics, 100 plan to major in computer science, and 30 plan to pursue a double major in mathematics and computer science. Using this information, answer each of the following questions.
Let MMM be the event that a randomly selected student plans to major in mathematics and CCC be the event that a randomly selected student plans to major in computer science.
Khan academy adding probabilities
Answers
Answer:
Why is the number so big
Step-by-step explanation:
Answer:
2/5
1/2
3/20
3/4
Step-by-step explanation:
got it from Khan academy :)
Help me is right now its very urgent
Answers
What is 10z when z = 0.8
Plssss help mee
Answers
Answer:
Value of 10z = 8
Step-by-step explanation:
Given:
Equation of variable;
10z
and value of z = 0.8
Find:
Value of 10z
Computation:
We know that in given equation 10z
10 is constant(fixed value) and z is variable(changeable value)
where value of variable z is given 0.8
So,
By putting value of variable z in given equation
⇒ 10z
⇒ 10(0.8)
by multiplying variable and constant
Value of 10z = 8
Which equation does not represent a linear function
Answers
Answer:
D should be the one that DOES NOT represent a linear function
please help algebra test tomorrow
Answers
Factoring Best answer gets a brainliest
(5a²+5a)=
Explain how to solve this and other questions like it.
2 answers please
Answers
Answer: (5a+1) (a+1)
Write the equation for a line that passes through (4,-1) and has a slope of 5
Answers
Answer:
y = 5x - 21
Step-by-step explanation:
Since we already know the slope, all we need to do is plug the values of x and y into the equation.
y = 5x + b
-1 = 5(4) + b
-1 = 20 + b
-21 = b
The equation is y = 5x - 21.
Help fast please!!! ♥
The graphs of f(x) and g(x) are shown below:
Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.
If f(x) = (x + 7)2, which of the following is g(x), based on the translation?
g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x + 7)^2 + 2
g(x) = (x + 7)^2 − 2
Answers
Explanation: take the 1 and the other 1 and add them together to get 2