Answer:
Step-by-step explanation:
hello :
sin x + 2 sin x cosx = 0 equivalent to : sinx(1+2cosx) =0
sinx=0 means : general solution is : x= kπ....k in Z
1+2cosx=0 means : cosx= -1/2 general solution is : x= ±π/6+kπ...k in Z
The question seems to involve solving a trigonometric equation with an incomplete equation provided. It suggests the use of trigonometric identities and basic values of sin and cos at 0 degrees to simplify and solve trigonometric equations.
Explanation:The question appears to be incorrectly phrased or incomplete. However, it seems to involve solving a trigonometric equation involving sine and cosine functions. To approach such equations, one common strategy is to use trigonometric identities to simplify the equation.
For instance the given expression sin x + 2 sin x cos x can be simplified using the double angle identity or factoring, allowing for easier solution. Yet, without a clear equation to solve or a specific value to find, it's challenging to provide a direct answer.
Solving trigonometric equations often requires understanding basic trigonometric functions like sin 0, which is 0, and cos, which is 1 at 0 degrees. These values are fundamental and help in simplifying equations to find solutions within a given domain, typically between 0° and 360° for high school mathematics problems.
What kind of angle is EOD and what is it’s measure?
Answer:
Answer:
Part 1) m∠EOD=20°
Part 2) m∠AOD=80°
Step-by-step explanation:
Part 1) Find the measure of angle EOD
we know that °
m∠EOD=m∠EOX-m∠DOX
we have
Observing the figure
m∠EOX=140°
m∠DOX=120°
substitute
m∠EOD=140°-120°=20°
Part 2) Find the measure of angle AOD
we know that °
m∠AOD=m∠DOX-m∠AOX
we have
Observing the figure
m∠AOX=40°
m∠DOX=120°
substitute
m∠AOD=120°-40°=80°
Step-by-step explanation:
Solve for u:
-10.74=u-(−11)
Answer:
u= 0.26
Step-by-step explanation:
Answer:
-21.74Step-by-step explanation:
Solve for u by simplifying both sides of the equation, then isolating the variable.
The student council spent $187.55 for their dance. Advance tickets brought in $202.75, and door sales totaled $116. About how much profit did the student council realize?
Problem
A knitting pattern for a shawl calls for 8
stitches in the first row. Each row after that
has 2 more stitches than the previous row.
The explicit rule ax = 8 + (k − 1)2 gives the
number of stitches in the nth row row.
Answer:
The n row has [tex]2n+6[/tex] stitches.Step-by-step explanation:
The given expression is
[tex]a_{k}=8+(k-1)2[/tex]
Where [tex]d=2[/tex] and [tex]a_{1}=8[/tex].
The number of stitches in the n row are expressed as
[tex]a_{n} =8+2n-2\\a_{n} =2n+6[/tex]
Therefore, the n row has [tex]2n+6[/tex] stitches.
Notice that the result is an expression, that is beacuse the problem is asking for a general solution, it's asking for the n row, which refers to certain row in general terms.
Answer:
1st question: C
2nd : 8
3rd : 46
4th : 540
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. Which compares the modes of the data? The mode for the students is 2 and the mode for the teachers is 4. The mode for the students is 0 and the mode for the teachers is 1. The mode for the students is 4 and the mode for the teachers is 8. The mode for the students is 2 and the mode for the teachers is 1.
The correct option is The mode for the students is 2 and the mode for the teachers is 4.
To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.
For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.
Comparing the modes of the two data sets, we have:
- Mode for students: 2
- Mode for teachers: 4
The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.
solve this equation 8-x2= -17
Answer:
x=25/2
Step-by-step explanation:
8-2x-8=-17-8
-2x=-25
-2x/2= -25/2
Answer:
x=5 or x=−5
they both work
An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample.
Group of answer choices
The population is 570. The sample is 138.
The population is 570. The sample is 300.
The population is 300. The sample is 138.
The population is 138. The sample is 570.
The population is 138. The sample is 300.
The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.
Explanation:In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.
The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.
Therefore, the correct identification is: The population is 570. The sample is 300.
I = 7n + 50.
A- 6
B-8
C-10
D-12
We can substitute I with 120 since that's how much he made in one day.
120 = 7n + 50
~Subtract 50 to both sides
120 - 50 = 7n + 50 - 50
~Simplify
70 = 7n
~Divide 7 to both sides
70/7 = 7n/7
~Simplify
10 = n
Therefore, the saleman made 10 sales.
Best of Luck!
Please answer this correctly
Answer:
3 PM
Step-by-step explanation:
1.30 + .30 + 1 =
3
Answer:
3:00 pm
Step-by-step explanation:
Time spent video games 30 minutes
Time spent homework 1 hour
Total time 1 hour 30 minutes
Starting at 1 :30
Add 1 hour 30 minutes
1:30
+1:30
--------------
2:60
But 60 minutes is 1 hour so change the 60 minutes to 0 and add 1 hour
3:00
We started at pm we did not pass over 12 so we are still at pm
3:00 pm
Which value of b would make x²+bx-30 factorable?
A. -31
B. -17
C. 11
D. 13
Answer:
D. 13
Step-by-step explanation:
well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-
x= -b±[tex]\sqrt{b^{2}-4ac}[/tex] /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since [tex]\sqrt{13^{2}-4*1*(-30)[/tex] = [tex]\sqrt{289}[/tex] = 17. So b=13.
A triangle has side lengths of 14 cm and 6 cm. Which could be the value of the third side, 27cm or 17cm
Answer:
17
Step-by-step explanation:
i think it was like the hypotenuse should be shorter than the other two sides sum.
Find the common difference: -18, -23, -28, -33, ..
Answer:
5
Step-by-step explanation:
Between each number there is a change of 5 in the negative direction
Answer:
5
Step-by-step explanation:
which table represents a function? Help plz
Answer:
Top left box
Step-by-step explanation:
In a function the values cannot repeat
What value is 1/3 (4a + 1) = 1/2a
Answer:
a = -2/5 = -0.400
Step-by-step explanation:
I need help like now
Which expression is equivalent to the following expression? 2(x + 7)
a. 2x + 7
b. 2x + 9
c. 2x + 14
d. x + 14
Answer:
C
Step-by-step explanation:
Use distributive property. distribute the 2 into both numbers by multiplying them both by 2 and you get 2x + 14
Answer:
I believe the answer is (C) 2x+14.
You have to distribute the 2 and multiply it to the x and the 14.
Step-by-step explanation:
Multiply the x by the 2 to get 2x
multiply the 7 by the 2 to get 14
so the equation is: 2x + 14
I hope this is correct.
Heeeeeeeeeeeeellllllllllllp
Answer:30
Step-by-step explanation:add all the sides
Answer for brainliest !!!!! ASAP NOW REALLY EASY
Answer: I believe the answer is 14.04
Step-by-step explanation:
When you divide 3.24 into 3 it gives you 1.08 then multiply it by 13 to get 14.04
Answer:
14.04
Step-by-step explanation:
You have 3 apples. Those 3 apples cost 3.24. He also wants to buy 13 MORE. You find the answer for doing a diagram like this:
A- 3 A- 13
$- 3.24 $- ?
Step 1. Do the diagram and fill it out.
Step 2. Multiply 13 and 3.24
(You get 42.12)
Step 3. Divide the answer (42.12) by 3
(You get 14.04)
And thats how you get the answer.
Emma baker 14 cookies she sold 2/7 of the cookies how many cookies did Emma sell?
PLEASE HELP!!!!!!!
Answer:
The answer is 4 cookies
HELP!!!! which system of inequalities are shown?
I believe the answer is b
Step-by-step explanation:
i think the second one maybe
using the line of best fit as a guide, predict the number of weeks of practice it would take for someone to type 80 words per minute.
Answer:
8 weeks
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² - 4x - 12
Step-by-step explanation:
x2 - 4x - 12
Finding factors of 12 then
x2 - 6x + 2x - 12
x( x - 6) + 2 (x - 6)
So the factors are (x+2) (x-6)
Answer: x- 6
Step-by-step explanation: i did it
Please help fast will mark 5 stars
Answer:
1 solution
Step-by-step explanation:
The lines intersect 1 time
Answer:
1 solution
Step-by-step explanation:
The intersection is the one solution.
2x^2-6x-20=0 value of a
Answer:
a = 2
Step-by-step explanation:
The equation 2x² - 6x - 20 = 0 is in standard form for a quadratic formula.
The general equation for standard form is: y = ax² + bx + c
Sometimes we make "y" => 0 when we are finding the roots (x-intercepts).
Notice "a" is attached to x² in the standard form.
In your question, the number attached to x² is 2.
∴ a = 2
Find the value of x in the figure.
image
A.
10
C.
16
B.
12
D.
14
Answer:
X = 12
Step-by-step explanation:
42 + 48 = 90 degree angle
4 x 12 = 48
A streaming video company charges $27.50 to set up an account and $12 per month to
enjoy the service. If Landon paid a total price of less than $243.50 for streaming video, how
many months (m) did he use the company's service?
Answer:
18 months
Step-by-step explanation:
27.50+12x=243.50 let x represent amount of months
subtract 27.50 from both sides
12x=216 divide
18 months
The solution is 18 months
The number of months Landon used the streaming service is given by the equation x = 18 months
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of months be x
A streaming video company charges $27.50 to set up an account and $12 per month to enjoy the service
Let the total cost be represented as y
Landon paid a total price of less than $243.50 ,
So , the value of y = $ 243.50
The inequality equation is 12x + 27.50 < 243.50
12x + 27.50 < 243.50 be equation (1)
On simplifying the equation , we get
Subtracting 27.50 on both sides of the equation , we get
12x < 216
Divide by 12 on both sides of the equation , we get
x < 18
So , the value of x = 18 months
Hence , the number of months is 18 months
To learn more about inequality equations click :
https://brainly.com/question/11897796
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what are dependent events
Answer:
dependent events are if the outcome of one event affects the outcome of another
Huilan is years younger than Thomas. The sum of their ages is 81. What is Thomas's age?
Answer:
Step-by-step explanation:
Let x = the age of Thomas
Let x + 6 = the age of Huilan
x + x + 6 = 70
2x + 6 = 70
2x = 64
x = 32 years
x+6 = 38 years
Find the total volume of the following composite figure with
h=4.3
and
r=3.9
Use 3.14 for LaTeX: \piπ.
Round to the nearest hundredth.
Given:
A composite figure consisting of a cylinder with radius r and height h and a half-sphere with a radius r.
To find:
The total volume of the composite figure.
Solution:
To determine the total volume of the figure, we add the volume of the cylinder and the volume of the half-sphere.
The volume of a cylinder, [tex]V= \pi r^{2} h.[/tex]
The given cylinder has a radius of 3.9 units and a height of 4.3 units. Assume π equals 3.14.
The volume of the cylinder, [tex]V = (3.14)(3.9^{2} )(4.3)= 205.36542[/tex] cubic units.
The volume of a half-sphere, [tex]V= \frac{2}{3} \pi r^{3} .[/tex]
The given half-sphere has a radius of 3.9 units, assume π equals 3.14.
The volume of the half-sphere, [tex]V= \frac{2}{3} (3.14)(3.9^{3} ) = 124.17444[/tex] cubic units.
The total volume of the composite figure [tex]= 205.36542+124.17444=329.53986[/tex] cubic units.
Rounding this off to the nearest hundredth, we get the volume of the cone as 329.54 cubic units.
Factor x^2 + 5x + 4 = 0
Answer:
Step-by-step explanation:
x² + 5x + 4 =0
Product =4
Sum = 5
So, factors = 4*1
x² + 1x + 4x + 4*1 = 0
x*(x + 1) + 4*(x + 1) = 0
(x + 1)(x + 4) = 0