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
what does T equal to?
Answers
Answer:
4/3
Step-by-step explanation:
t^3=64/27
=4^3/3^3
=index same
t =4/3
Answer:
4/3)
Step-by-step explanation:
t- 3= 64/27
= 4-3/3-3
= index same
t = 4/3
Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..
Answers
Answer:
24
Step-by-step explanation:
you slove the sides and find x
Answer:
x=40 m∠A=100° m∠B=80° m∠C=65°
Step-by-step explanation:
Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)
Step 2: m∠A + m∠B = 180°
So, (3x-20)° + (2x)° = 180°
Step 3: Solve for x (x=40)
Step 4: Plug in x to the angles
m∠A= 3(40) - 20
m∠B= 2(40)
m∠C= 2(40)-15
Why do you replace y with 0 when finding the x-intercept of a graph?
Answers
Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.
AN EXAMPLE OF THIS IS:
So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8
or -8 = 2x or x = -4
Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)
To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:
x = [-b +- SR(b^2 - 4*a*c] / 2a
so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)
x = [-10 +- SR(100 + 48)] / 6
x = [-10 +- SR (148)] / 6
x = [-10 +- 12.2] / 6 approximately
x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]
x = -22.2/6 or 2.2/6
Which of the following statements is no True?
A) the square root of 112 is between 10 and 11
B) the square root of 180 is between 13 and 14
C) the square root of 12 is between 4 and 5
D) the square root of 5 is between 2 and 3
Answers
Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
A bag of apples weighs 6 2/7 pounds . A crate of bananas is 4 times as heavy as the apples. How much heavier are the bananas than the apples
Answers
Work:
6.29 = apple weight
6.29•4=25.16
25.16 = banana weight
25.16-6.29=18.87
18.87 is the difference between the apples and bananas so therefore is how much heavier the bananas are
Call the weight of the bag of apples as x (x = 6 2/7)
Since the crate of bananas is 4 times as heavy as the apples -> the crate of bananas = 4x
So, to find the weight difference, we minus those : 4x - x = 3x
Now we convert this : 3x = 3 x 6 2/7 = 132/7
Convert to :
Mixed : 18 6/7
Decimals (3 d.p) : 18.857...
solve this nonlinear system of equations.
y=-x^2+6x-5
y=3
step 1: use substitution to combine the equations. Rewrite so that one side is equal to zero.
step 2: factor the equation
step 3: identify the x-values of the solutions.
step 4: identify the solutions to the system.
Answers
Answer:
1. [tex]x^2-6x+8=0[/tex]
2. [tex](x-4)(x-2)=0[/tex]
3. [tex]x=4 \text{ and } x=2[/tex]
4. [tex]x=4 \text{ and } x=2[/tex]
Step-by-step explanation:
1. When using substitution all we do would be is substituse the y for a 3.
This leaves us with the equation:
[tex]3=-x^2+6x-5[/tex]
Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]
or if we shift the 0 to the other side:
[tex]x^2-6x+8=0[/tex]
2. In order to factor the equation we can use the butterfly method:
[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:
[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.
3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]
4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Answers
Answer:
7
Step-by-step explanation:
Given expression:
6x³y + 8x² + 5x + 7The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.
Determining if 6x³y is a constant:
This term is not a constant because the term includes two variables (x and y).Determining if 8x² is a constant:
This term is not a constant because the term includes a variable (x).Determining if 5x is a constant:
This term is not a constant because the term includes a variable (x).Determining if 7 is a constant:
This term is a constant because the term has no variables.Learn more about constants: https://brainly.com/question/11977365
Answer:
7
Step-by-step explanation:
The constant term in an expression is the term without a variable.
The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.
Pahelp pi pls...:-D
Answers
Step-by-step explanation:
2)D
3)A
4) B
5)C
6)D
7)B
8)B
9)C
10)C
11)A
12)D
p.s Pls at least try to do ur test urself
13) D
You decide to update your bathroom. You are going to put new tile in your shower. Your shower has three rectangular walls that need tiled. One wall is 5 feet wide and 8 feet high. The other two walls are each 4 feet wide and 8 feet high. What is the total area that you will need to tile?
Answers
[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]
[tex]\sf{A=8*5}[/tex]
[tex]\sf{A=40~ft^2}[/tex]
[tex]\rule{200}{2}[/tex]
[tex]\sf{A=4*8}[/tex]
[tex]\sf{A=32~ft^2}[/tex]
Now, add the areas:-
[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]
[tex]\sf{A=72+32}[/tex]
[tex]\sf{A=104}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
The graph of trapezoid ABCD has coordinates A(–2,–2), B(–3,–4), C(2,–4), D(1,–2)
Answers
Answer:
Can I have a picture of the Graph please?
GRADE 9 maths! due tonight please help!!
Answers
Answer:
Step-by-step explanation:
A brand new vehicle costs $25,399. It decreases in value by 8.5% each year after its purchase.
Which function models the value of the vehicle in dollars x years after its purchase?
f(x)=1.085(25,399)x
f(x)=0.915(25,399)x
f(x)=25,399(0.915)x
f(x)=25,399(1.085)x
Answers
The cost after x years is the initial cost minus the amount of decrease after the duration of x years
Percentage DecreaseGiven Data
Initial Cost of vehicle = $25,399Rate of decrease = 8.5%Duration = yearlyLet us find 8.5% of $25,399
= 8.5/100*$25,399
= 0.085*25399
= 2158.915
Cost after x years will be
Final cost = 25,399 - 2158.915*x
Learn more about percent decrease here:
https://brainly.com/question/24304697
What is an angle that is supplementary to
I’m so close to being done with this so please help
Answers
Answer:
<GBF
Step-by-step explanation:
Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.
Hope this helps!
Work out
(
1.8
×
10
−
3
)
÷
(
2
×
10
−
7
)
Give your answer in standard form
Answers
Answer:
1.15
Step-by-step explanation:
(1.8*10-3)/(2*10-7)
(18-3)/(20-7)
15/13
1.15
..................
help me please thank you soo much
Answers
The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.
How do you convert fractions to decimals?Divide the top number or numerator into the bottom number or denominator.
6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33How to organize the numbers?When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.
Based on this, the correct order is:
33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75Learn more about numbers in: https://brainly.com/question/17429689
You are considering the two different car loans.
Using the payment table, which loan has the lowest monthly payment?
Answers
Loan A has the lower monthly payment
=========================================================
Explanation:
Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.
However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01
So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.
------------------
Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18
The multiplier this time is 162.90 because (16290)/(100) = 162.90
Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.
--------------------
To summarize, we have these monthly payments
loan A monthly payment = $348.50loan B monthly payment = $518.02Loan A has the lower monthly payment
plssssss helpppppp meeeeeeeee
Answers
Answer:
A
Step-by-step explanation:
i dk im just desperate because the entire community is offline
What is the equation of a hyperbola with a = 8 and c = 20? Assume that the transverse axis is horizontal.
Answers
Answer:
[tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]
Step-by-step explanation:
The equation of hyperbola is given by:
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }[/tex]
Where [tex]c^{2} =a^{2} +b^{2}[/tex]
∵ [tex]a=8,c=20[/tex]
∴ [tex]b^{2} =c^{2} -a^{2}[/tex]
⇒ [tex]b= \sqrt{20^{2} -8^{2} } =4\sqrt{21}[/tex]
Now, [tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{8^{2} } -\frac{y^{2} }{y(4\sqrt{21} )^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]
Hence, equation is [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]
Hope this helps,
ROR
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
PLEASE HELP WILL MARK BRAINLIST
Answers
J is equal to 24 ____________________________
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! :)
This box plot displays information about the number of text messages some students sent one day.
What is the median number of texts sent by the students?
What is the IQR ?
P.S Please don't troll I really need help
Answers
Answer:
Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.
Step-by-step explanation:
Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,
8/15 as a decimal rounded to the nearest hundreth
Answers
Answer:
0.53
Step-by-step explanation:
A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.
8÷15 = 0.5333333...
Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.
8/15 ~= 0.53
Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.
Answers
Answer:
1/2(a-4)
Step-by-step explanation:
first blank is 1/2 and second is 4.
help me plsssssssssss
Answers
Answer:
Sin 21 = p/b
0.358 = 5.5 / x
x = 5.5 / 0.358
therefore , x = 6.97
Step-by-step explanation:
Use sin formula
which is perpendicular/ base
just put the value
The cone has a height of 6 and a diameter of 3 inches. What is the volume?
Answers
Answer:
14.14
Step-by-step explanation:
We know that to calculate volume of a cone you must do π r^2*h/3
so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14
Determine the current temperature in degrees Celsius if the current temperature is 89 degrees Fahrenheit in Alberta, Canada. Round the final answer to the nearest whole number. (1 point)
32
56
98
103
Answers
Answer:
32 C
Step-by-step explanation:
According to celsius conversion formula:
C = 5/9*(F-32)
= 5/9*(89-32)
= 5/9*57
Hence, C = 31.666
Rounding it off to the nearest whole number, the answer is 32 C.
Factor the polynomials completely, then solve 48x² - 75 = 0
Answers
Answer:
[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]
Step-by-step explanation:
48 = 3 × 16
75 = 3 × 25
_________
Then, a Complete factorization of 48x² - 75 is :
[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]
_____________________
Now let’s solve our equation 48x² - 75 = 0
48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0
[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]
4/15, 5/27, 7/18 Arrange the fractions in ascending order
Answers
Answer:
Take lcm and see
Step-by-step explanation:
5/27 ;4/15 ;7/18
The problem is the screenshot
Answers
Answer: 0 5 10
Step-by-step explanation:
y = 5(0)
y = 0
y = 5(1)
y = 5
y = 5(2)
y = 10
Select all the expressions that are equivalent to 4 ^ - 3
Answers
Answer:
B. 2^-6
C. 1/4³
D. (1/4) (1/4) (1/4)
Step-by-step explanation:
4^-3 is the same as 1/4³ so it is equivalent
46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64
2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent
B, C, and D are your answers
PLEASE RATE!! I hope this helps!!
If you have any questions comment below