let pheta be an acute angle. if cos2pheta+cos^2pheta=1, then cospheta=

2/3
1
√6/3
√2/3​

The simplified expression using  the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]

commutative property can be defined as a mathematics attribute that is possessed by a mathematical equation, that enables the objects undergoing addition or multiplication to change position.

In conclusion, The simplified expression using  the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]

4/3 + 3/4 + 2/3 =  ( [tex]\frac{4}{3}[/tex] +  [tex]\frac{2}{3}[/tex] ) +  [tex]\frac{3}{4}[/tex]  =   [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]

Learn more about commutative property: https://brainly.com/question/1528288

#SPJ1

The equation of linear system in the form of inequality will be x + y ≥ 2 or y ≥ 2 – x.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The graph is given below.

The graph is a linear equation.

Then the equation of linear system in the form of inequality will be

The two point are given as (0, 2) and (1, 1). Then the equation of linear system will be

y – 2 ≥ [(2 – 1) / (0 – 1)] (x – 0)

y – 2 ≥ – x

x + y ≥ 2

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Answer:

[tex]\large \boxed{\sf 16}[/tex]

Explanation:

[tex]\Rightarrow \sf \sqrt{121} + \sqrt[3]{125}[/tex]

[tex]\Rightarrow \sf{ \sqrt{11 \ x \ 11} + \sqrt[3] {\sf5 \ x \ 5 \ x \ 5}[/tex]

[tex]\Rightarrow \sf{ \sqrt{11^2} + \sqrt[\sf 3] {\sf 5^3}[/tex]

[tex]\Rightarrow \sf 11 + 5[/tex]

[tex]\Rightarrow \sf 16[/tex]

I hope this help you . the concept of sure and cube roo

Answer:

2/5

Step-by-step explanation:

22/11=2

55/11=5

Step-by-step explanation:

The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY

For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.

For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.

Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

Answer:

4x10 8x5

Step-by-step explanation:

The equation in Slope-Intercept Form is y = -2/5 x + 4.

We have given that,

y−2=−2/5(x−5)

We have to rewrite the equation in Slope-Intercept Form.

slope-intercept form is y = mx + b

for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange

so y - 2 = -2/5 x + -2/5 (-5)

= -2/5 x + 2

=> y = -2/5 x + 4

This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).

To learn more about the line visit:

https://brainly.com/question/657646

#SPJ1

The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.

a = 25

d = 5

The fifth year will be:

= a + (n - 1)d

= 25 + (5 - 1)5

= 25 + (4 × 5)

= 45

The 14th year will be:

= a + 13d

= 25 + 13(5)

= 90

The 26th will be:

= a + 25d

= 25 + 25(5)

= 150

The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:

Year 10 = n/2[2a + (n - 1)d]

= 10/2[5(25) + 45]

= 475

Year 22 = 25[50 + 245]

= 1705

Year 50 = 25(50 + 245)

= 7375

Learn more about franchise on:

brainly.com/question/3687222

#SPJ1

Answer:

0 is the answer to the question

Answer:

| x - 57 | = 3

Step-by-step explanation:

Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.

Answer:

is it 1 ques or 4 different questions?

Answer:

9(x - 5)

Step-by-step explanation:

Just write the equation according to the sentence. It's THAT SIMPLE.

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

1&$)&(5$6$5*-_+_7&'+&-^€=%

Answer: -6

Step-by-step explanation:

Answer:

-34

Step-by-step explanation:

Remove all brackets by multiplying the existing math signs then take it from there

(15-10)-(14+12+ (8+5)​

5 - (14 + 12 + (8 + 5)

5 - (14 + 12 + 13)

5 - 39

-34

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the inequality:

3 ≤ |x + 2| ≤ 6

Hence:

x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)

This gives:

x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

A

Step-by-step explanation:

He saves allowance for 5 months     5 months * $6 = 30 dollars

  30 ÷ 3      would be the # of rides he can go on

Answer:

  yes

Step-by-step explanation:

The commutative property of addition applies to let you swap the order of the summands.

__

Here is how the commutative property can be applied.

  5x = 3 -x . . . . . given

  5x = (3) +(-x) . . . . shown as a sum

  5x = (-x) +(3) . . . . order swapped using commutative property of addition

  5x = -x +3 . . . . . . equivalent equation

Answer: 44

What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?

[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!

[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.

As stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.

Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.

The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.

Write this equation down and use your calculator to solve for x:

      *make sure your calculator is in degrees*

tan (54°) = [tex]\frac{x}{32}[/tex]

32 × tan (54°) = x

44.04 ≈ 44 =x

answer is 2 ⅓

Explanation

Length of arc = circumference of the base of the

cone

is β/360 x 2πR=2πr

make r the subject of formula

r =βR/360

r=60 x 14/360

r=2⅓cm

please mark as brainliest if i am right

Answer:

1(x - 2xz - 2xy + 4y²)

Step-by-step explanation:

I notice that no term all of them have. which means itbwill be factorised via 1.

1(x - 2xz - 2xy + 4y²)

Answer:

Therefore, an integer that's divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18. It's not necessarily divisible by 12 or 36, each of which includes two 2s in its prime factorization

The value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given that 343ˣ = 49⁴ ⁻ ˣ, and are asked to find the value of x.

We try to solve the exponential equation, using the laws of exponents in the following way:

343ˣ = 49⁴ ⁻ ˣ,

or, (7³)ˣ = (7²)⁽⁴ - ˣ⁾ {Since, 343 = 7³ and 49 = 7²}.

or, 7³ˣ = 7⁸ ⁻ ²ˣ {Using the law: [tex](x^{a})^{b} = x^{ab}[/tex]},

or, 3x = 8 - 2x {Using the law: [tex]x^a = x^b \Rightarrow a = b[/tex], when x ≠ 0}.

or, 3x + 2x = 8 - 2x + 2x {Adding 2x to both sides of the equation},

or, 5x = 8 {Simplifying}

or, 5x/5 = 8/5 {Dividing both sides by 5},

or, x = 8/5 or 1.6 {Simplifying}

Therefore, the value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.

Learn more about exponents at

https://brainly.com/question/20392013

#SPJ4

Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

[tex]\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }[/tex]

                                                       [tex]\sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}[/tex]

[tex]\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}[/tex]

                                                                 [tex]\sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}[/tex]

Answer:

see below

Step-by-step explanation:

Here is another way

1/3 book / hr   *  2 1/5 hr =

1/3 * 11/5 = 11/15 read in 2 1/5 hr    

1/3is the same as 5 /15          

   11/15 - 5 /15 = 6/15 = 2/5 more read in 2 1/5 hr that 1/3 hr

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

-2 < 0.5(-3) + 2

-2 < 0.5 (satisfied)

1 < 0.5(-2) + 2

1 < 1  (Not satisfied)

-2 < 0.5(-1) + 2

-2 < 1.5 (Satisfied)

2 < 0.5(-1) + 2

2 < 1.5 (Not satisfied)

-2 < 0.5(1) + 2

-2 < 1.5 (Satisfied)

Learn more about inequalities here:

https://brainly.com/question/21819032

#SPJ1

Answer:

4 × 4000 = 16000cm or 160 meters