If sin a-b =1/2 and cos a+b =1/2 Find a and b

Answers

Answer 1

Answer:

[tex]a = \frac{1}{2} [/tex]

[tex]b = 0[/tex]

Step-by-step explanation:

[tex]a - b = \frac{1}{2} \\ a + b = \frac{1}{2} \\ \\ a - b + a + b = \frac{1}{2} + \frac{1}{2} \\ a + a = \frac{2}{2} \\ 2a = 1 \\ \frac{2a}{2} = \frac{1}{2} \\ a = \frac{1}{2} [/tex]

[tex]a + b = \frac{1}{2} \\ \frac{1}{2} + b = \frac{1}{2} \\ b = \frac{1}{2} - \frac{1}{2} \\ b = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!


Related Questions

HURRY!! WILL MARK BRAINLIEST!!!
whixhxh two points on the number line are opposites? !!HURRY WILL CASHAPP 10 BUCKS. ​

Answers

Points A and D are opposites.

Answer:

points a and d because point a is -1 and 2/3 and point d is 1 and 2/3 so they are opposites

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.

What is Maya’s biking speed?

PLZ HELP IN A BIG RUSH PLZ PLZ PLZ

Answers

Answer:

Maya's biking speed is 8 miles per hour.

Step-by-step explanation:

She can run 18 miles in 3 hours. That means she could run 6 miles in one hour. So, if she can ride her bike 18 miles in 2 hours she can bike 9 miles per hour.

If she bikes for 27 (3 hours) miles and runs 9 miles (1.5 hours) then taking the total of miles dividing it by the time you would get Maya's speed.

convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar.
4/frac{1}{8}

Answers

33/8 is the correct answer

pls help will mark as brainliest

Answers

Answer:

The measure of the hypotenuse is 25.

Step-by-step explanation:

To solve, we can use the Pythagorean theorem a² + b² = c² where,

a = 7

b = 24

(7)² + (24)² = 625

We have to take the square root of 625 to get our answer.

[tex]\sqrt{625} = 25[/tex]

Answer:

25

Step-by-step explanation:

This is a right triangle. This is because of the little square in the corner that indicates a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know that 7 and 24 are the legs, because they make up the right angle. We know c is the hypotenuse because it is opposite the right angle.

7^2+24^2=c^2

Evaluate the exponents on the left side.

49+576=c^2

Add 49 and 576

625=c^2

Since c is being squared, take the square root of both sides. This will cancel out the exponent, and leave c by itself.

√625= √c^2

√625=c

25=c

The measure of the hypotenuse is 25

Which expression should replace the box to finish the expanded form of 387.926?


2 × 1100

20

0.02

20 × 110

Answers

Answer:

0.02

(or 2 x 1/100)

Step-by-step explanation:

Number:

387.926

The number '2' in this number is in the hundredth place.

*Remember, it is a decimal so in expanded form it is multiplied by a fraction*

Therefore, it is written as 2 x 1/100 or 0.02

Answer:

its 2x1/100

Step-by-step explanation:

i got it correct

Function A is represented by the equation

y=1/3x+5. Function B is represented by the graph. Which function has a greater rate of change? explain.

Answers

Answer:

They have the same rate of change.

Step-by-step explanation:

Well the graph of Function B is y = 1 / 3x + 2

So they have the same rate of change, since they have the same slope.

10 over 13 as a decimal rounded to the nearest tenth

Answers

Answer:

0.7

Step-by-step explanation:

If you divide 10 by 13 you get 0.76923 which rounded to the nearest tenth is 0.7

Hope this helped!

Answer:

0.8

Step-by-step explanation:

To find the decimal form of [tex]\frac{10}{13}[/tex] you'll need to divide 10 by 13.

10 ÷ 13 = 0.76923076923

The tenths decimal place is one to the right of the decimal: 0.1

Because the number after the tenths place is greater than or equal to 5, we will round the 0.7 up to a 0.8

Which expressions can never result in a negative real number when evaluated for any value of x? Select all that apply.
1) x^1/2

2)x^2/3

3)x^-3/5

4)x^-1/2

5)x^1/3​

Answers

It is 5 beacause the x^1/3

The expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

1) x^1/2

find the square root

[tex]= √x^1/2

[/tex]

[tex]= x^1[/tex]

= x

2) x^2/3

[tex]= 3√x^2/3[/tex]

=

3) x^-3/5

[tex]= 5√x^-3/5[/tex]

[tex]= x^-3[/tex]

[tex]= 1/x^3[/tex]

4) x^-1/2

[tex]= √x^-1/2[/tex]

,

[tex]= x ^-1[/tex]

[tex]= 1/x[/tex]

5) x^1/3

[tex]= 3√x^1/3[/tex]

[tex]= x^1[/tex]

= x

Therefore, the expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

Read more:

https://brainly.com/question/19045022

Enter the quotient.
6532 ÷ 23 =

Answers

The answer is 284.

If you know how to do long division, you will be able to show your work.

Answer:

284

Step-by-step explanation:

Sara has x dollars and Dina has 15 dollars less than Sara . Together the number

of dollars they have is?

Answers

Answer:

2x-15

Step-by-step explanation:

Sara has x dollars

dina has 15 less which is

x-15

together it will be

x+x-15

=2x-15

Answer choices for both of them are
A) linear
B) exponential
C) quadratic

Answers

Answer:

#16 is linear but idk what 17 is

'Ello there! 20 points and brainliest!!! FOR JOHAN!!

List 3 expressions that equal the number 12
List 2 expressions that equal the number 2

Wow this question is literally the hardest thing I have ever seen PLEASE HELP MEEE!!!

Answers

Answer:

for twelve: 4 x 3, 9 + 3, 24 / 2.

for two: 1 x 2, 1 + 1.

Step-by-step explanation:

4 x 3 = 12, 9 + 3 = 12, 24 / 2 = 12

1 x 2 = 2, 1 + 1 = 2.

The diameter of a circle measures 8 cm. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

16π or 50.266

Step-by-step explanation:

Circumference formula is just 2πr ,and the radius is 8, so just sub into the formula

Answer: 25.12 cm

Step-by-step explanation:

The formula for the circumference of a circle is [tex]2\pi r[/tex], when r = the radius.

Diameter = 2 x radius = 8 cm. Therefore, the radius = 4 cm.

Plug r = 4 cm in to the circumference formula: [tex]2\pi (4)[/tex] = 8 x 3.14 = 25.12 cm.

Below are the average incomes for different education levels. How does the outlier affect the mean?mm

Answers

Answer:

It affects the Mean by how many different numbers.

Step-by-step explanation:

Find the medianDetermine all of your answers. and Figure out if the mean and the outlier are similiar.

Given: m arc AB = 4x, m arc BC = 3x
m arc CD = 2x, m arc DA = 3x
Find: m∠APB

Answers

Answer:

a > m/bp

Step-by-step explanation:

flip the equation

abp > m

divide both sides with bp

abp/bp > m/bp

a > m/bp

Answer:

m<APB = 30 degrees

Step-by-step explanation:

The sum of angles in a circle is 360 degrees. Add up all the arcs to get the equation : 4x+3x+2x+3x=360 degrees.

x is equal to 30 degrees

m arc AB = 4x = 120 degrees

m arc DC = 2x = 60 degrees

By secants exterior angles, m<APB = 1/2(m arc AB - m arc DC) = 1/2(120-60) = 30 degrees.

The answer is m<APB = 30 degrees

Please help due in 20 minutes!

Answers

Answer:

x =12

Step-by-step explanation:

We use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

x^2 + 5^2 = 13^2

x^2 +25 =169

Subtract 25 from each side

x^2 +25-25=169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12

There are 450 total students at Snowden School. On Tuesdays, 12% of the students stay after school for Comedy Club. How many students stay after school for Comedy Club?​

Answers

Answer:

54 students

Step-by-step explanation:

First, change the percent to a decimal.

12% = 0.12

Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.

450 × 0.12 = 54

54 students stay after school for Comedy Club.

Answer:

3750

Step-by-step explanation:

You have to do is divided 450 from 12% and then you get your answer

what is the measure of angle 15

Answers

Answer:

A

Step-by-step explanation:

m<15 = m<1 because of how the transversals are placed. so m<1 = 90º - 65º = 25º

that means that m<15=25º

Answer:

<15=25º

Step-by-step explanation:

big brain


Consider the equation -2x+3y=6.
Write the equation in slope-intercept form.


Identify the y-intercept.

Identify the slope.

Answers

Answer:

y=2/3x+2

Step-by-step explanation:

plz help!!! Drag the tiles to the correct boxes to complete the pairs.
Match each point of intersection with the system of equations whose solution is at that point. (look at image)

Answers

Answer:

Step-by-step explanation:

Each point of intersection with the system of equations was matched.

what is a linear equation?

Any equation in the form [tex]ax+by+c=0[/tex] is called a linear equation where a,b,c∈R.

In the given diagram, to find the intersection of two lines, solve the equations of two lines.

1)[tex]\left \{ {{y=-2x-3} \atop {y=2x-1}} \right.[/tex]

The solution of the given system of equations comes to be x=-1/2 and y=-2.

So they will intersect at (-1/2, -2) i.e. same as the graph.

2)[tex]\left \{ {{y=x+4} \atop {y=-x+2}} \right.[/tex]

The solution of the given system of equations comes to be x=-1 and y=3.

So they will intersect at (-1,3)

Similarly, the other two systems of equations will intersect at (-7/3,5/3) and (-1,1) respectively.

Hence, each point of intersection with the system of equations was matched.

To get more about equations visit:

https://brainly.com/question/14323743

70% of Mr. Austin's students like Geometry. 35% like both Algebra and Geometry. What percent of those who like Geometry also like Algebra?

A. 50%


B. 35%


C. 70%


D. 30%

Please help I’ll give branliest answer

Answers

Answer:

Either Impossible question or B

Step-by-step explanation:

2 Ideas...

B because the question states that 35% like both Algebra and Geometry. The question then goes on to ask "What percent of those who like Geometry also like Algebra?" which is stated in the above (35%)

Or...

It is a trick question (although that isn't an option so it is less likely)

Because 75+35 = more than 100

Hope this helps

Use the values log 48 congruant to 1.68 and log 3 congruant to 0.48 to find the approximate value of log3 48.

Answers

Answer:log(48) = 1.68124

Step-by-step explanation:

After checking for the values of log 48 and log 3, then the approximate value will be 1.08.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

log(48) = 1.68

log(3) = 0.48

Then, the approximate value of log 3 and log 48 will be: 1.08

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

What is y=2(x+1)^2 in standard form

Answers

Y=4x+4
I think this is it u just have to simplify to get it to y=mx+b

Answer:

[tex]y=2x^2+4x+2[/tex]

Step-by-step explanation:

[tex]y=2(x+1)^2[/tex]

[tex]y=2(x^2+2x+1)[/tex]

[tex]y=2x^2+4x+2[/tex]

Help looks like i forgot to read a ruler

Answers

Answer: 4 1/16

Step-by-step explanation:

4/1//16 i think that

DUE NOW PLZ HELP
6, 9, 3, 7, 8, 7, 5
minimum:
maximum:

Answers

Answer:

minimum is 3 and maximum is 9

Step-by-step explanation:

your min is 3 and ur max is 9

PLS ANSWER ASAP 12 POINTS

Answers

Answer:

2/9

Step-by-step explanation:

its in the range to be 2/9

Doing a test and timed so please help1

Answers

Answer:

20

Step-by-step explanation:

The hypotenuse is always the largest number and side length in a right triangle. We know the answer is 20 because it is the largest number.

The spinner shown below is used to play a game.
4
5
3
6
2
7
1
8
What is the probability that the arrow will land on a number greater than 5?
3/5
3/8
5/8
1/3​

Answers

The probability is 3/8

Does anyone know the answer? thank you!​

Answers

Answer:

x= c - b / 3a

Step-by-step explanation:

3ax + b = c

3ax = c - b

x= c - b / 3a

I will give brainliest to the first person who answers.

Answers

Answer:

the answer is [tex]\sqrt{5\\}[/tex] , and - [tex]\sqrt{5\\}[/tex] which is C.

Step-by-step explanation:

well I got that answer by doing this

we have [tex]x^{2}[/tex]= 5

For [tex]x^{2}[/tex]= f (a) the solutions are x = [tex]\sqrt{f(a)\\}[/tex] , - [tex]\sqrt{f(a)\\}[/tex]

so in this case the solutions are [tex]\sqrt{5\\}[/tex], and - [tex]\sqrt{5\\}[/tex]

HOPE THIS HELPS :)

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