Answers
Answer:
[tex]\bold{ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}}[/tex]
Explanation:
[tex]\dashrightarrow \ \ \sf 2sin(3\theta) = \sqrt{3}[/tex]
[tex]\dashrightarrow \ \ \sf sin(3\theta) = \dfrac{ \sqrt{3}}{2}[/tex]
[tex]\dashrightarrow \ \ \sf 3\theta = sin^{-1}(\dfrac{ \sqrt{3}}{2})[/tex]
[ your calc should be in radian mode [R] ]
[tex]\dashrightarrow \ \ \sf 3\theta = \dfrac{\pi }{3} , \ \ \dfrac{2}{3} \pi , \ \ \dfrac{7 \pi }{3}, \ \ \dfrac{8\pi }{3}, \ \dfrac{13\pi }{3}, \ \dfrac{14\pi }{3}[/tex]
[tex]\dashrightarrow \ \ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}[/tex]
Related Questions
a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)
Answers
R = 12
To find the area of a circle you must do (R)^2 x Pi (3.14)
Meaning you must do:
12 x 12 = 144 = (R)^2
144 x (3.14) Pi = 452.16
Next we need to find the volume of the tank, by using the area of the circle we can now use the formula Area ((R)^2 xPi (3.14)) x height
We know the height equals 30dm so:
452.16 x 30 = 13,564.8
As it is 1dm^3 to 1L we don’t need to divide anything to equal them as they are the same meaning the answer is
13,564.8 Litres
What operation does the key word " increase" tell you to do?
Answers
Explanation:
The word "increased" tells us to add a specific number to the addend. Let us take an example to understand the word "increased".
Example: 3 is increased by 4.
⇒ 3 + 4
Notice that the addend (3) is being increased (+) by 4.
no links please help!!!
Answers
Answer:
5. During the day, the temperature on the surface of Mars rises at a rate of 9 degrees C every hour
a. In 2 hours: 18 a. in 3 hours: 27 in n hours: 9n
b. y=9n
c. 108
d. -540
6. Kaite saves 5 dollars every week, so far she has saved a total of $63
a. y=5x+63
b. 25
hope it helps
Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.
Answers
Answer:
yes ur on track
Step-by-step explanation:
kyle has x -3ounce blue marbles and 5 ounce green marbles. lara has 5-ounce green marbles and 3-ounces of blue marbles. is it possible for kyle and lara to have the same number of green marbles and the same total bag weight ,y? explain
Answers
Answer:
yes
Step-by-step explanation:
if x=6, 6-3=3 , so it is possible if x is 6
What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm
Answers
The measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Trigonometry identityThe given figure is a pentagon. The measure of one of the interior angle is 108 degrees.
The triangle in the pentagon is right angle.
Measured acute ange = 108/2 = 54 degrees
Using the trig identity
sin 54 = 10/c
c =10/sin54
c = 10/0.8090
c = 12.36 cm
Hence the measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Learn more on trigonometry identity here; https://brainly.com/question/7331447
Answer:
12.36
Step-by-step explanation:
Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.
Answers
The true statement is that (b) The limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
How to interpret the limit of f(x)?From the graph of the function (see attachment), we have the following highlight:
There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0
When there is an open circle in the graph at x = 0, then the function has no limit at this point
This is so because the value is exclusive of the function values
Hence, the limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
Read more about limits and continuity at:
https://brainly.com/question/12212916
#SPJ1
Answer:
C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.
Step-by-step explanation:
Precalc Edge 2023
Please help, this is due today for my homework!
2 spinners have three options. One has 1,2,3 while the other one has A,B,C. What is the probability of spinning a vowel and not spinning a 1?
Answers
Answer:
*** "and" means multiply
2/9
Step-by-step explanation:
*** "and" means multiply
spinning a vowel is 1/3
not spinning a 1 is 2/3
1/3 times 2/3 is 2/9
What is the area of triangle PQR rounded to the nearest tenth of a square meter? Drawing is not to scale.
Answers
Answer:
A 31.3
Step-by-step explanation:
just took the test
Answer:
27.0m^2
Step-by-step explanation:
Use the formula A = 0.5 * a * b * sin (x)
this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.
Fill in the blanks:
A = 0.5 * 12 * 7 * sin (40)
use demos scientific calculator
A= 26.99
round up
27.0 m^2
What is the measure of arc AB?
Answers
Answer:
First find out area of circle and find the A B X angle then substract Total area by ABX
Answer:
68
Step-by-step explanation:
The intercepted arc (AB) is double the inscribed angle (34)
In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)?
Answers
Answer:
8,874%
Step-by-step explanation:
Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"
again another Pythagorean Theorem i need help on, please and thank you
Answers
You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."
The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.
What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.
In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.
PLSS HELP!! FIRST ANSWER GETS BRAINLIEST!!!!
At a baseball game, the Rebelos orrdered 2 hot dogs and 3 cheese burgers and paid $20.00. The Caines ordered 2 hot dogs and 5 cheeseburgers and paid $29.00. What is the cost of one cheeseburger?
Answers
Answer:
$4.5
Step-by-step explanation:
Hot dogs=h
Cheese burgers=c
2h+3c=20
2h+5c=29
There are two ways to solve-
1. Elimination- multiply the bottom by -1.
2h+3c=20
-2h-5c=-29
-2c=-9
c=4.5
2. Just move 2h, and you get 2c=9, 4.5
Jill went shopping from 3:45 pm to 5:00 om for how long did she shop
Answers
FOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.
Answers
Answer:
The answer is
→ 18:32
Step-by-step explanation:
The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.
Boys:
3 x 4 = 12
or
3 + 3 + 3 + 3 = 12
Girls:
4 + 4 + 4 + 4 + 4 = 20
or
4 x 5 = 20
20 + 12 = 32
Hope this helped! :^)
- ✨7272033Alt✨
Express the following ratio: 20 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answers
Answer:
5 inches : 6 inches
Step-by-step explanation:
20 inches : 2 feet
Use Hint: 1 feet = 12 inches
20 inches : 2·12 = 24 inches
Find the simplest form of 20 inches : 24 inches
20 inches : 24 inches , divide both numbers by 2
10 inches : 12 inches, divide both numbers by 2 again
5 inches : 6 inches
can someone please help me with this question
Answers
Answer:
88 [tex]in^2[/tex]
Step-by-step explanation:
2(2 x 6 + 4 x 6 + 4 x 2)
[tex]2[/tex][tex](wl+hl+hw)[/tex]
if a-1/a=5 then find the value of a square +1/asquare
Answers
Answer:
3
Step-by-step explanation:
Calculating a
a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4Substitute in the 2nd equation
a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)
Answers
Answer:
A. 5.0 * 10⁻⁹ J
Step-by-step explanation:
Q is charge.
ΔV is electric potential energy.
All we have to do is plug both values in.
PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J
Answer:
A.
Step-by-step explanation:
Plug the values in and there is your answer.
I hope it helps! Have a great day!
Anygays-
Which of the following lines has a negative slope?
Answers
Answer:
The second option, or the one attached.
Step-by-step explanation:
This line has a negative slope because the line is going "down the stairs" from the top-left to the bottom-right.
Answer:
negative, the arrows pointing directly to it,
can someone help me with this question
Answers
b is a answer
Step-by-step explanation:
formula
=a+b/2×h
Answer: 126 mm^2.
Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half. The steps are done below:
First, we need to find the bases and the height. The bases are are circled below, but it's basically the top and bottom lengths of the triangle. Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you. All you need is to assign each base with a top or bottom length. The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height. It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways. You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.Have a great day! :)
Every second, an elevator either has a 50% chance of going up and a 50% chance of going down. If the elevator starts at floor 15, what is the probability that, after 5 seconds, the elevator is at floor 18?
Answers
Using it's concept, it is found that there is a 0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Starting at floor 15, these are the following outcomes that result in the elevator being at floor 18 in 5 seconds, each with [tex]0.5^5[/tex] probability:
4 up, 1 down.3 up, 1 down, 1 up.1 down, 4 up.1 up, 1 down, 3 up.2 up, 1 down, 2 up.5 outcomes, hence the probability is:
[tex]p = 5 \times (0.5)^5 = 0.1563[/tex]
0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.
More can be learned about probabilities at https://brainly.com/question/14398287
Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
Answers
Answer:
95,013
Step-by-step explanation:
If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!
You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00
Answers
[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]
Your answer is..:$[tex]5.00[/tex]
Hopefully, that helps you!!
[tex]OwoSokka[/tex]
pls answer (10 points given)
Answers
Answer:
C
Step-by-step explanation:
Its not greater than or equal to and its less than 6.
Answer:
A. x < 3
Step-by-step explanation:
2x < 6
Simplify:
2x < 6 <== divide both sides by 2
/2 /2
x < 3
Rules:
Open circle: < (going left) or > (going right)
Closed circle: ≤ (going left) or ≥ (going right)
For our answer: x < 3
It would be an open circle going left. The only number line that illustrates this is line A.
Hope this helps!
What should we added to -3/20 to get 2 9/20
Answers
Answer:
2.60
Step-by-step explanation:
This is a strange way to solve the problem, but it works for me.
1. Convert to decimals
-3/20 = -.15
2- 9/20 = 49/20 = 2.45
2. Solve
2.45 - (-.15)
2.45 + .15 = 2.60
Which of these numbers is the greatest?
0.29
0.27
0.21
0.28
Answers
Hope this helps and please mark brainliest!
Answer:
0.29
Step-by-step explanation:
greatest numberrr
For what values of a is the expression true? |a+5|=a+5
Answers
Answer:
a>=-5
Step-by-step explanation:
when a+5>/=0
a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.
A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?
Answers
22 times 15 is 330
330 + 40 is 370
370-100 =270
There are 25 white tiles in a box. what percent of tiles what percent of tiles will ally use to tile her laundry room floor (6ft by 6ft)
Answers
Answer: 100%
Step-by-step explanation:
