Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05
So we want to solve the equation: 2sin(θ) = √3
First, we divide both sides by 2 to get:
sin(θ) = (√3)/2
Now remember the inverse sine function, it acts as follows:
Asin(sin(x)) = xsin(Asin(x)) = x
So we can apply this to both sides to get:
Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05
And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:
θ = 1.05
If you want to learn more, you can read:
https://brainly.com/question/12015707
If p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.
Answer:
Step-by-step explanation:
P varies jointly as q and r
p=k* q r
150 =k *(18)(5)
150 = k*(90)
150/90 = k
5/3 = k
find q when p=345 and r =9
p=k* q r
345 = (5/3) * q *9
345 = 45 q / 3
1035 = 45 q
q=23
The required value of the q in the proportionality relationship is given as q = 23.
Given that,
p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
P varies jointly as q and r
p =k × q r - - - - - (1)
150 =k × 18× 5
k = 5 / 3
Put k = 5/3, p = 345 and r = 9 in equation 1
345 = (5/3) × q ×9
q = 23
The required value of the q in the proportionality relationship is given as q = 23.
Learn more about proportionality here: https://brainly.com/question/22620356
#SPJ2
please help me I really need it
Answer:
Step-by-step explanation:
Because of the givens (a right angle a common Hypotenuse and a leg in each triangle) ΔSUT and ΔSUV are congruent. HL
That means that < SUT = < SUV so what you get out of that is
w + 10 = 3w Subtract w from both sides.
w - w + 10 = 3w - w
10 = 2w Divide both sides by 2
10/2 = 2w/2
w = 5
I don't know what A with a check mark below it is.
Given the graph below, which of the following statements is true?
Answer:
A. the graph represent a one - to - one function because every x-value is paired with only y-value
Step-by-step explanation:
that's it
Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
√ 20x^8
What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
Answer:
3375cm
Step-by-step explanation:
because it is asking for volume it is cubed
wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
inasmuch as 76543 is greater than 43765 help pleace
Answer:
32778
Step-by-step explanation:
76543-43765=32778
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?
Answer:
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Step-by-step explanation:
Let x represent the length of the first piece.
Since the second piece is 5 ft longer than the first, it can be represented by x + 5
Since the third piece is 1 ft longer than the second, it can be represented by x + 6
Create an equation that adds all of these terms up to 32, and solve for x
(x) + (x + 5) + (x + 6) = 32
3x + 11 = 32
3x = 21
x = 7
So, the first piece is 7 ft long.
Using the expressions we created, solve for the lengths of the second and third pieces.
x + 5
7 + 5 = 12
x + 6
7 + 6 = 13
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
4. Below are histograms displaying the values taken by three sample statistics in
several hundred samples from the same population. Each histogram has the
same scale and the true value of the population parameter is marked by an
arrow on each histogram. Which statistic is the best estimator of the parameter?
Answer:
(B) Statistic B because A and B are unbiased but B has lower variability.
Step-by-step explanation:
The correct answer is (B). The best statistic is unbiased, with the lowest variability.
Write the proportion.
8.5 hours is to 3.4 hours as
7.0 hours is to 2.8 hours?
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
Line u has a slope of Line v is parallel to line u. What is the slope of line v? v יל Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
I have no idea what the answer is because I am in 6th grade but good luck
Step-by-step explanation:
I don't know
what is a square unit
Answer:
A square unit is a small area of a square used to find a total.
Step-by-step explanation:
what is 81 divided by 9
Answer:
9
Step-by-step explanation:
9
9x9 = 81
Therefore, 81 ÷ 9 is 9
What is the median for the set of data 3.5 1 3 4
Answer:
3.5
Step-by-step explanation:
Test Scores
1, 1, 2, 3, 3, 4, 4, 5, 5, 5
median(middle #)
(3+4)/2 = 7/2 = 3.5
Answer:
3.5
Step-by-step explanation:
What does MIJ equal ?
What is the value of the following
expression when d=2?
3d + (2.d)-4
Answer:
6
Step-by-step explanation:
I used a calculator and the answer is 6
Solve for x and round to the nearest tenth.
х
54
22
Answer:87 hope
this helps
Step-by-step explanation:
Please help me (>^ <)
-Solving Equations with variables on both sides
Answer:
1) x = -1
2) x = 11
3) x = -3
4) x = -14
5) x = -7
6) x = 5
7) x = 12
8) x = -4
Step-by-step explanation:
use the photomath app
Sam made a model of the Liberty Bell with a
base circumference of 8 inches. If the base
crcumference of the actual Liberty Bell is 12
feet, what scale did he use?
Answer:
1 : 18
Step-by-step explanation:
When finding scale factor, both measurements should in same unit
Circumference of the model bell = 8 inches
1 feet = 12 inches
12 feet = 12 * 12 = 144 inches
Circumference of the actual bell = 12feet = 144 inches
Model : Actual = 8 : 144
= 8÷8 : 144÷8
= 1 : 18
Find the 13th term of the arithmetic sequence 4x – 9, x – 16, -23 – 23,...
Answer: thumbs up
Step-by-step explanation:
which of these describes abc?
Answer:
A
Step-by-step explanation:
I remember it by:
acute: a cute little angle that is smaller than 90 degrees
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% or in decimal form 0.004
Step-by-step explanation:
took the test and got it right!
Is (4,3) (2,1) endpoints of a vertical line, a horizontal line, or neither?
Answer:
neither
Step-by-step explanation:
is a diagonal line
I WILL MARK BRAINLIEST The account balance of each of three children at the end of a month is shown below: Kyle has -52.25 Jason has -52.00 Sue has as much savings in her account as the amount Kyle owes the bank. Part A: On a blank paper, draw a number line from -4 to +4. Plot points on the number line to show the account balances of the three children Label the points using the name of each of each child . describe in detail how you created and labeled this number line,and what it looks like in detail Part B: Determine whether Kyle or Jason owes the bank more Use absolute values and inequalities to write statements that justify your conclusion (5 points)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Given:
Kyle's balance is -$2.25
Jason's balance is -$2.00
Sue's balance is: $2.25
Required:
A: plot and label the points on a number line from -4 to +4
describe how you did it
B: determine who owes more
Solution:
Part A: For the attached plot, we used the Desmos graphing calculator utility, giving it the points (-2.25, 0), (-2.00, 0), and (2.25, 0) to plot on x-y coordinates. The y-axis and minor grid lines are suppressed in order to better approximate a number line. The "label" facility is utilized to attach labels to the points.
Part B: Balances are owed to the bank when the balance is negative. The more negative it is, the more is owed. Kyle's point is farthest to the left on the number line (and is left of 0), so Kyle owes more. The ordering is ...
-2.25 < -2.00 < 0
where |-2.25| > |-2.00|. The number -2.25 is Kyle's balance, so he owes more.
Hello! The girl above me is correct :)
Find the measurement of the angle labeled X
PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!
Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
x=40°
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
x=20°
Order the numbers from least to greatest!
Answer:
edcafgb
Step-by-step explanation:
-2 1/2 = -5/2 < -2 < -1.75 < -1 < 1.75 < 9/4
*-2 1/2 and -5/2 are the same.
I need help on homework its due tomorrow
Find the quotient of 376 divided by 4
Answer:
94
Step-by-step explanation: