A square has a side length equal to 6a-2b inches. What is the area of this square

Recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Adding these together gives

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :

7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)

7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)

7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)

Answer:

a. 1 : 6

b. 4/1

c. 27 to 1

d. 1 : 7

Step-by-step explanation:

To reduce each ratio to its simplest form, find the greatest common factor(gcf) for both sides of the ratio and divide them by that number.

For example, in part a the greatest common factor is 17. Divide both sides of the ratio by 17:

17/17 = 1 and 102/17 = 6

The ratio becomes 1 : 6.

The gcf for part b is 52. The gcf for part c is 2 and the gcf for part d is 7.

Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

Answer:

6 but im not really sure

Step-by-step explanation:

Answer:

A₁ = x²* ( 1 -  π /2)  square units

Step-by-step explanation:

Let´s call the area of the region that is inside the square but not inside the circle A₁

And the area of the square A(s)

And the area of the circle A(c)

Then  the area we are looking for is:

A₁  =  A(s) - A(c)

If the circle has a radius   r then

A(c) = π*r²

A(s) = x²

In the square diagonal of the square is d = √ x² + x²  ;  d = √2 * x

Half of this distance is  d/2 = (√2 /2)*x

There is a right triangle with points:

o The center of the square (which is the center of the circle)

a  Any of the corners of the square

b  Middle point of a side of the square

According to that

r the radius of the circle is:

r² + (x/2)²  = (d/2)²

r² + (x/2)²  = [ (√2 /2)*x]²

r²   =  (2/4)*x² - x²/4

r²   = (x²/2) - x² / 4

r²   = (1/2)*x²

r  =  x/√2

Then the area of the circle is

A(c) = π * r²

A(c) =  π * x²/2

And  A₁  = x² -  π * x²/2

A₁ = x²* ( 1 -  π /2)  square units  or   A₁ =[ ( 2 -  π)/2 ]*x²

Answer:

slope of -2

Step-by-step explanation:

the slope of this equation is -2 and the parallel slope would be the same slope.

Answer:

21 DIVIed by 3/7

Step-by-step explanation:

Answer:

12 stamps

Step-by-step explanation:

21 * 3/7 = 9 (to the sister)

21 - 9 = 12 (what he has left)

Answer:

C

Step-by-step explanation:

Answer:

y = x - 1

Step-by-step explanation:

To create a linear equation in the slope-intercept form, which is in the form of y = mx + b, we need to find the slope/rate of change, m, and the y-intercept, b.

Rate of change can be calculated using two pairs, (3, 2) and (4, 3)

Rate of change/slope (m) = [tex] \frac{f(b) - f(a)}{b - a} [/tex],

Where,

b = 4

f(b) = 3

a = 3

f(a) = 2

Plug in the values

[tex] \frac{3 - 2}{4 - 3} = \frac{1}{1} [/tex]

m = 1

Plug in x = 3, y = 2 and m = 1 into y = mx + b

2 = 1(3) + b

Solve for b

2 = 3 + b

Subtract 3 from each side

2 - 3 = b

-1 = b

b = -1

Substitute m = 1 and b = -1 into y = mx + b.

y = 1(x) +(-1)

y = x - 1

The linear equation that gives the rule for this table is y = x - 1

Answer:

The first one

Step-by-step explanation:

Answer:

{ 1,2,3,4,5,6,7}

Answer:

Option 4: 4 is the correct answer

Step-by-step explanation:

The given inequality is:

10- 2y ≥ 4

In order to check which value is not the solution to the inequality we have to put each value in the inequality. If the inequality is true for the value, it is the solution and it is not true then it is not the solution.

Putting y = 1

[tex]10-2y\geq 4\\10-2(1)\geq 4\\10-2\geq 4\\8\geq 4[/tex]

TRUE

Putting y=2

[tex]10-2y\geq 4\\10-2(2)\geq 4\\10-4\geq 4\\6\geq 4[/tex]

TRUE

Putting y=3

[tex]10-2y\geq 4\\10-2(3)\geq 4\\10-6\geq 4\\4\geq 4[/tex]

TRUE

Putting y=4

[tex]10-2y\geq 4\\10-2(4)\geq 4\\10-8\geq 4\\2\geq 4[/tex]

FALSE

The inequality is not true for y=4.

Hence,

Option 4: 4 is the correct answer

Answer:

I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

Answer:

you add 4 each time

Step-by-step explanation:

Answer:

Pattern is Input • 4 + 1

Answer:

blank 1: E

blank 2: R

blank 3: EC

blank 4: TS

divide 42 cm. by 5 minutes, which leaves you with 8.4 cm/minute. hope this helps, please mark brainliest and have a great day

Answer: There u go ig

Step-by-step explanation:

Answer:

Function A has a greater slope than function B.

Step-by-step explanation:

A's slope is 2x

Answer:

x + y = -6

Step-by-step explanation:

Answer:

y = -x-6

Step-by-step explanation:

For this problem we use point-slope formula:

y-y1 = m (x2-x1)

When we plug in our values, it looks like this:

y-(-1) = -1 (x-(-5))

When we rearrange into slope-intercept form, we get this:

y = -x-6

HTH :)

Answer:

Improper fraction: 25/12

Mix number fraction: 2 1/12

Decimal: 2.083333333...

Step-by-step explanation:

5/4 divided by 3/5 is the same as 5/4 times 5/3

5 times 5/4 times 3

25/12

Answer:

25/12

Step-by-step explanation:

when dividing a fraction, you flip the divisor, so the 3/5 will become 5/3

when you flip the divisor, you flip the sign too, the sign right now is ÷

the opposite of ÷ is ×

so now you have 5/4 × 5/3

multiply the numerators: 5 x 5 = 25

multiply the denominators: 4 x 3 = 12

so now you have 25/12

this fraction cannot be simplified, so 25/12 is your answer

Answer:

I believe it would be division.

Step-by-step explanation:

Sorry if its wrong, i havent done a question like this in a long time, please forgive me!

Answer:

30

Step-by-step explanation:

jehdnjdidndjdidi

Answer:B. Yes; the triangles are congruent by ASA.

Step-by-step explanation:

In triangle ACD and CAB, AB || CD and AC ≅ BD, B. Yes; the triangles are congruent by ASA.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given,

In triangle ACD and CAB, AB || CD and AC ≅ BD.

Therefore, The triangles ACD and CAB are congruent by ASA as ∠A is congruent to ∠C, Side AB is congruent to side CD and ∠B is congruent to ∠B.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ2

Answer:

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.

Step-by-step explanation:

Convert the fraction 7/12

to a decimal.

7/12=0.583¯

This is a repeating decimal.

The bar over the number, in this case 3, indicates the number or block of numbers that repeat unendingly.

Answer: 190%

Step-by-step explanation: Have a good night

Answer: STOP DELETING MY answers YOUR JUST TRYING TO TAKE PINTS AWAY FROM ME

Step-by-step explanation:

Answer:

x= 27/5

Step-by-step explanation:

The measure of angle ABC is 130 degrees

The angles are given as

ABD = 100

DBC = 30

The measure of angle ABC is calculated using

ABC = ABD + DBC

So, we have

ABC = 100 + 30

Evaluate the sum

ABC = 130

Hence, the measure of angle ABC is 130 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Answer: CD=AD

Step-by-step explanation: i have a tutor for math and he helped me plus i took the test in flvs and its right

Answer:

77/44 = 1 and 3/4

Step-by-step explanation:

77/44 can be simplified to 7/4 if you divide the numerator and denominator by 11.

4 can go into 7/4 1 time which leaves a remainder of 3/4

I hope this helped!

Answer:

84

Step-by-step explanation:

You first do 1,110-150= 960 dollars.

Then you divide 960 by 15 dollars = 64 cameras

So the first 20 cameras plus the 64 cameras equal 84 cameras.