solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answers

Answer 1

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer 2

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6


Related Questions

What is the equation of the circle shown in the graph?
6 9 12 36

Answers

You need to add a picture in order for others to understand what you are referring to.

What inequality is represented by this graph? 1 7 9 OXSA Xc6​

Answers

Answer:

OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS


5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3

Answers

Answer:

B

Step-by-step explanation:

The volume of a prism is the area of the cross section x length

The area of the cross section:

Area of a triangle = [tex]\frac{base * height}{2}[/tex]  so [tex]\frac{6*4}{2} = 12[/tex]

12 x 16 = 192 so B

Answer:

Step-by-step explanation:

You are buying a new internet service. The service costs $75 per month. In the equation below, d is the total number of dollars that you pay for your service, and t is the time (in months) that you keep the service.
The relationship between these two variables can be expressed by the following equation:
d=75t
Identify the dependent and independent variables.


Dependent variable Independent variable
The total number of dollars you pay {} {}
The time in months you keep your service {} {}

Answers

Answer:

independent Variable

Step-by-step explanation:

Because we already know that x=75, and that a independent variable is An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

Convert .45 tons to kilograms to the nearest hundredth

Answers

Answer:

40,823.31 kilograms.

Step-by-step explanation:

Maureen Ritter is paid $275 a week and a commission of. 7% on all sales. Her sales last week were $3,904. What were her total earnings for the week?

Answers

Answer:

548.28

Step-by-step explanation:

you want to take the original pay ( $275 ) and push that to the side.

take 3,094 and find 7% of that, which would be 273.28

lastly you want to take 273.28 and add the original pay of 275.

273.28 + 275 = 548.28

so her total pay for the week was 548.28

Tara has two bags of marbles. Bag 1 contains 6 red marbles, 5 blue marbles, and 4 green marbles. Bag 2 contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a red marble from each bag?

Answers

Answer: 26 - 6

Step-by-step explanation: i think sorry if rong

Find the average of f(x)=x^3-x over [0,2]

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

The average value of the function is the integral over the interval, divided by the width of the interval.

  [tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]

LOOK AT THE PHOTO PLEASEEE

Answers

Answer:

90

Step-by-step explanation:

Remeber there are 180 degress in a right triangle.

Answer:

y = 90°

Step-by-step explanation:

Y is 90 degrees. The base of the triangle seems to be bisected by a perpendicular bisector. The resulting angles are 90 degrees on both sides. And seeing as 90 is y, x is 20.

To be more precise. We know this is an isosceles triangle, due to the fact that the angle right of 110 must be 70 degrees (they are supplementary angles.) The entire triangle must add up to 180 by the triangle angles sum theorem, and two 70 degree angles add up to 140, meaning the last angle is 40 degrees. That final angle is bisected, meaning each part is 40/2, that's 20.

Have a nice day, fam. Spread The Love.

Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.

How many people can she feed with 30 pounds of turkey?

Answers

She can feed 10 people

Answer:

yeah 10 people

divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah

Imagine you deposit $4,500 into an account that pays 5,5 percent interest compounded
daily. How much interest will you earn in 30 days?

Answers

Answer:

500

Step-by-step explanation:

Don’t know how to solve, help ?

Answers

I believe the answer is 88 because the 120 will create a straight angle which is 180. Then you do 180-120=60. This is the measure I the left angle. Now your answer will be 88

Step-by-step explanation:

180 - 120 = 60

32 + 60 = 92

180 - 92 = 88

Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.

Answers

Answer:

Rounded to the nearest cent, over 5 years she will earn $ 916.89.

Step-by-step explanation:

Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:

650 x (1 + 0.07 / 2) ^ 5x2 = X

650 x (1 + 0.035) ^ 10 = X

650 x 1,035 ^ 10 = X

916,889 = X

Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.

Answer: 1125.41

Step-by-step explanation:

First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula

A(t)=d((1+r/n)n⋅t−1)r/n

to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.

A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)

Simplifying gives

A(5)=$650 ((1.035)10−1)/(0.035),

thus

A(5)=$7,625.41.

The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into

A(5)=D5+I5

and solve for I5. This gives

$7,625.41=$6,500+I5,

yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.

The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.)

Answers

Answer:

t = 42857.14 h

Step-by-step explanation:

Given that,

The speed of space shuttle, v = 28000 km/h

We know that, the distance between the Saturn and the Earth is 1,200,000,000 km.

Let t be the time.

As we know, speed = distance/time

So,

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{1,200,000,000}{28000}\\\\t=42857.14\ h[/tex]

So, the required time is equal to 42857.14 hours.

Which fraction is greater?
2/3 or 3/8

Answers

Answer:

you have to find common denominators first.

Step-by-step explanation:

24 is their common

8x2=16/24

3x3=9/24

your first fraction is larger!

please consider marking me as brainliest! Have an amazing day lovely!

answer:

2/3

explanation:

convert to a decimal then compare the two and the one with the biggest number is greater

How many years will it take for your salary to be $105,000 per year?

Answers

Depends on the job your asking for

Answer:

simple answer in edmentum

Step-by-step explanation:

which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.

Answers

When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.

What is the median fit method?

This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.

As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.

Find out more on the median fit method at https://brainly.com/question/23298464.

#SPJ2

Answer: C

Step-by-step explanation:

(-6) (-7)= equals what?

Answers

Answer: 42

Step-by-step explanation:

A negative number times a negative number will have a positive product.

(-6)(-7)=42

Hope this helps

What is the common ratio of the geometric sequence below 18,-6,2,-2/3

Answers

Answer:

-1/3 is common ratio

Step-by-step explanation:

can someone help me answer these two questions i will give you brainliest

Answers

1) supplementary
2) vertical

What’s the answer and work for this? Someone please tell me

Answers

Answer:

Step-by-step explanation:

# 12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12 is a median of a data

After painting 3/8 of a fence he finds that he has painted 15 feet

Answers

Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

Answer:

ok whats the question tho is it the total length of the fence if it is its 40 pretty sure

Step-by-step explanation:

3/8 of the fence lets say x, equals 15 feet

divide 15 by 3/8 to find x which is 40

2. The area A of a circle is increasing at a constant rate of 2.5cm s . If the area of the circle is given
by A = πr2, what is the rate of change of the radius when the radius is 15cm?

Answers

Answer:

235.65 cm^2s-1

Step-by-step explanation:

We have that;

Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule

Note that dr/dt = rate of change of radius

But

A = πr^2

dA/dr = 2πr

dr/dt = 2.5cm s-1 (given)

So;

dA/dt =  2πr * 2.5cm s-1

r = 15cm (given)

dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1

dA/dt = 235.65 cm^2s-1

whats the answer to 10/y = 2/9

Answers

Answer:

y=45

Step-by-step explanation:

Answer:

=45

Step-by-step explanation:

5/8 - 1/4 simplest form​

Answers

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

L.C.M =8

5-2=3

=3/8

Find the area between y=-x and y=x at [0,3]

Answers

Answer:

don't listen to the other person

Step-by-step explanation:

Find the area of the following composite figure​

Answers

Answer:

1713

Step-by-step explanation:

952+288+472=1713

Pls help BRAINLYEST FOR BEST ANSWER YAYA

Answers

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

21

Answer:

21

The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.

combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP

Answers

Combine the r’s first:
3r + 2r - 3r = 2r
2s and 5 cannot combine because they don’t have the same variable after the number

Answer: 2r + 5 + 2s

PLESE HELP WILL MARK BRIANLIEST

Answers

Answer:

1. a=-9  b=13  c=-1

2. a=1  b=1  c=-11

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