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
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
Answers
Because she is 3 years older than half his age, subtract 3 - 21. This gives 18. Then divide 18 / 2. This gives 9.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
To learn more about linear functions, please check: https://brainly.com/question/26434260
Find the lateral area for the regular pyramid.
Answers
Answer:12
Step-by-step explanation:
Because i Have nolege.
It would take 150 minutes to fill a swimming pool using the water from 5 taps.
A) how many minutes will it take to fill the pool if only 3 of the taps are used? ______ minutes
B) an assumption being made in my working is that all the taps are flowing the same__ ___
Answers
Answer: points for points
Step-by-step explanation:
Hi t sure what to do?
find the missing term in the equation below (?+5)+(3x-2)=8x+3
Answers
Answer: 5x
Step-by-step explanation:
5x + 3x = 8x
Answer: Question
find the missing term in the equation below (?+5)+(3x-2)=8x+3
(5x+5)+(3x-2)=8x+3
5x+5+3x-2
5x+3x+5-2
8x+3
therefore, answer proved
PLZ ACCEPT MY EFFORT
5 STAR +THANKS :(
Find the measures of the angles.
Please if you can, explain.
Answers
Answer:
29° and 61°
Step-by-step explanation:
90=3y+5 + 9y-11
96=12y
y= 8
I NEED HELP PLEASE- ‼️‼️‼️
Answers
Answer:
18x^2 - 30x
Step-by-step explanation:
Distribution:
You just have to distribute 6x by each term in the parenthesis.
Equation: 6x(3x-5)
(You can also think of it as: 6x * 3x + 6x * -5)
18x^2 - 30x
This is as simplified as can it can be.
(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).
8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answers
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|
\angle B=∠B=angle, B, equals ^\circ ∘ degrees Round your answer to the nearest hundredth.
ANSWER IS:∠B=56.25
Answers
Answer:
<B is 53.13degrees
Step-by-step explanation:
Find the diagram attached
Given
Opposite side= 4 (side facing <B)
Adjacent side = 3
Required
<B
According to SOH CAH TOAS identity
tan theta = opp/adj
tan<B = 4/3
<B = arctan(4/3)
<B = arctan(1.3333)
<B = 53.13 degrees
Hence the angle <B is 53.13degrees based on the diagram
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Answers
Question:
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Coin wrapper volume = 27,480 mm^3
Coin diameter = 21.18 mm
Answer:
The thickness of a coin is: 1.95mm
Step-by-step explanation:
Given
[tex]V = 27480mm^3[/tex] -- volume
[tex]d = 21.88mm[/tex] --- the diameter
Required
The thickness of each coin
This implies that, we calculate the height of each coin.
First, calculate the radius (r) of the coin
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2} * 21.18mm[/tex]
[tex]r = 10.59mm[/tex]
The volume of the coin is calculated as:
[tex]V =\pi r^2H[/tex]
Where H represents the total heights of the 40 coins
[tex]27480 = 3.14 * 10.58^2 * H[/tex]
Solve for H
[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]
[tex]H = \frac{27480 }{ 351.480296}[/tex]
[tex]H = 78.1836145944[/tex]
The height of a coin is calculated by dividing H by 40
[tex]h = \frac{78.1836145944}{40}[/tex]
[tex]h = 1.95459036486[/tex]
[tex]h \approx 1.95mm[/tex]
Hence, the thickness of a coin is: 1.95mm
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.
Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.
Answers
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Answer:
13.5%
Step-by-step explanation:
Between which 2 consecutive integers is each number located on a number line?
__ < .99 < __
Answers
Answer:
x lies between 0 and 1 on the number line
Step-by-step explanation:
As we move to the left from 0.99, the first integer we reach is 0; as we move to the right from 0.99, the first integer we reach is 1.
Thus, 0 < x > 1: x lies between 0 and 1 on the number line.
help agine plz i will give branliets
Answers
Guys pls help me!!!!!!!! (It’s not c)
Answers
Answer:
The answer is D .
Step-by-step explanation:
Hope it was helpful .
The _____ _____, denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals_____, where x is the number of individuals with a specified characteristic in a sample of n individuals. the ▼ ▼ deviation mean proportion error variance , denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals ▼ xn startfraction n over x endfraction startfraction x over n endfraction , where x is the number of individuals with a specified characteristic in a sample of n individuals.
Answers
Answer:
Sample proportion ; phat
x / n
Step-by-step explanation:
The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.
The sample proportion is expressed Mathematically as ;
phat = x / n
x = number of subjects with a specified characteristic ;
n = total sample size
For instance ;
The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :
phat = x / n = 15 / 100 = 0.15
could someone give me answers for these three? no wrong answer or spam or link
Answers
Answer:
Equation: 2x + 13 = 5x - 20
x = 11
<FDG = 35
Step-by-step explanation:
These are vertical angles so they're equal to each other:
2x + 13 = 5x - 20
2x - 5x = -20 - 13
-3x = -33
x = 11
<FDG:
5x - 20
5(11) - 20
55 - 20
35
can someone help me with this one 2x2-18=0
Answers
Answer:
-14
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
2x-18=0
2x=18 /:2
x=9
What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
Answers
Answer:
C
Step-by-step explanation:
EDGE
Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?
Answers
25.25/5=5.05
Each drink cost $5.05
Whats the best grunge rock band?
Answers
Answer:
Matallica
Step-by-step explanation:
It's my personal favorite but also Nervana....
Answer: Nirvana
Step-by-step explanation: hoped this helped :)
Just question number 4 please I will give u a big amount of points please! No answer is bad if you try your best that’s ok!
Answers
Piensa y escribe un caso estadístico en el que pueda identificar POBLACIÓN, MUESTRA, VARIABLE Y RECORRIDO DE LA VARIABLE
Answers
ANSWER:
Caso estadístico: Altura de las mujeres de la poblacion indigena Sikuani.
Step-by-step explanation:
Población: Mujeres de la comunidad sikuani
Muestra: se toma una muestra de 20 datos para calcular la altura ,este dato se toma de la población total de 165 mujeres.
M: ( 1.30, 1.20, 1.50, 1.52, 1.60, 1.37, 1.28, 1.55,1.46, 1.26, 1.57, 1.58, 1.54, 1.38, 1.56, 1.23, 1.59, 1.62, 1.48, 1.40)
Variable: Altura
Recorrido de la variable: El recorrido de la variable es la diferencia entre el valor máximo de la muestra y el valor mínimo.
Altura máxima: 1.62 m.
Altura mínima : 1.20
Como ya tenemos el valor máximo y el valor mínimo ,podemos hallar el recorrido de la variable.
R=( 1.62m -1.20m)
R= 0.42
The graphs shows the favorite colors chosen by some middle school students Favorite Colors Red Yellow Orange Blue Color Green Black Pink Purple 8 9 10 Number Which statement is supported by the information in the graph? Fewer than 30% of the students chose red yellow, or orange as their favorite color More than of the students chose pink as their favorite color. • Exactly 18% of the students chose blue as their favorite color. Exactly of the students chose green black or purple as their favorite color.
explain you answer choice
Answers
Answer:B
Step-by-step explanation:
Its b,i swear on my doggie
An elevator in an old building can hold four people at a time. The elevator also has an overall weight limit of 800 pounds. The weight of a group of people in the elevator will be represented by w. Choose ALL inequalities that represent w correctly. A) 4 ≥ w ≤ 0 B) 0 ≥ w ≤ 4 C) w ≤ 0 ≤ 800 D) 0 ≤ w ≤ 800 Eliminate E) 800 ≥ w ≥ 0
Answers
Answer:(D and E)
Step-by-step explanation:I know this because I got it right in usa test prep
Answer:
A and C
Step-by-step explanation: I just took the quizz
what is 5x – 9 + 2x – 4 = 9.4
Answers
5x + -9 = 38
Reorder the terms:
-9 + 5x = 38
Solving
-9 + 5x = 38
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 5x = 38 + 9
Combine like terms: -9 + 9 = 0
0 + 5x = 38 + 9
5x = 38 + 9
Combine like terms: 38 + 9 = 47
5x = 47
Divide each side by '5'.
x = 9.4
Simplifying
x = 9.4
Answer:3.2
Step-by-step explanation:
3.2 because x =16/5=3 1/5=3.2
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answers
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
Pls help?!?!? With this
Answers
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
Mr. Moran chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 21, 19, 50, 50, 49, 44, 38, 40}
Answers
Answer:
39.5
Step-by-step explanation:
Mary is designing a square garden in her field to grow vegetables. The minimum size for a garden is 2 meters on each side. She decides it would be best to have each side be 2 meters long plus an additional x amount of meters.
a. What expression can represent the area of the garden?
b. Mary’s five additional friends also want to make this garden with the same dimen
Answers
a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?
Answers
192 (trays) x 14 (muffins in each tray) = 2688 (total muffins)
1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)
Answers
Answer:
6x*2-3x*2y
4p-18
Step-by-step explanation: