prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)

Step-by-step explanation:

x = 2. 2(x) = 2(2). 2x= 4. Multiplication Property of Equality (if you have two equals sides and then multiply them by the same quantity both sides will remain equal)

5=3a therefore 3a = 5. Symmetric Property if a=b then b=a

T = 4 => 5T = 20 (Multiplication Property of Equality) => 5T + 7 = 27 (Addition Property of Equality. basically if two sides are equal and you add the same quantity they will remain equal)

Last one is transitive property which states. if a=b and b=c then a=c so in this case a would be 9, b would be 4x and c would be m

The graph for Mei Mei' trip is attached accordingly. Also attached are the  values derived from the question.

The secret to comprehending the graph is to understand that every time Mei Mei spent while she was on the way to bank and back were are all computed cumulatively.

This means that when she stops at the store which is 8 blocks away from home (that is 2 blocks per min x 4 mins = 8blocks) the time spent is recorded as 4 + 5 at location 8 blocks, which is equals 9 minutes.

Also take note of the fact that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

Learn more about graphs at:

https://brainly.com/question/25020119

#SPJ1

Answer:

Step-by-step explanation:

x² + y² = 81

x + y = √81

x + y = 9

x ≥ 9

y ≤ 9

Answer: 41

Step-by-step explanation:

If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.

Thus, the cost of a 12-line ad is 17+2(12)=41

Answer:

y=−1/2x−1

Step-by-step explanation:

I put it in slope intercept form as I assume that is what the question is asking.

Answer: $0.24

Step-by-step explanation:

9.5 inches --> $2.28
1 inch--->X
now cross multiply it and get,

9.5X = 2.28*1
X = 2.28/9.5

so its $0.24 per inch

The loss on the sale of equipment of $25 will appear in cash flow for operating activities section.

The cash flow statement is a financial statement that gives aggregate data regarding the cash inflows that a company receives.

The loss on sales of equipment will be:

Cost of equipment = $500

Less accumulated depreciation = $375

Less sale of equipment = $25

Here, the loss on the sale of equipment of $25 will appear in cash flow for operating activities section.

Learn more about cash flow on:

brainly.com/question/24179665

#SPJ1

Answer:

c

Step-by-step explanation:

left is in brackets and opposite sign so left is plus right is minus

Answer:

Reason -

In the question it is given that triangle ABC is congruent to triangle DEF

if a triangle is congruent to other triangle than the corresponding parts of it (.ie sides and angles) are equal to that of other

The value of the expression (82/n – 26) at n = 2 will be 15. Then the correct options are B, D, E, and G.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.”

She then evaluated the expression when n = 2.

Then the expression will be

⇒ 82 / n – 26

If the value of n is 2, then the value of the expression will be

⇒ 82 / 2 – 26

⇒ 41 – 26

⇒ 15

Then the correct options are B, D, E, and G.

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

Answer:

(1,0)

Step-by-step explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect,  See attached graph.

They intersect at (1,0)

We can also do this mathematically:

  y>-3x +3

- (y≥ 2x-2)

0 [tex]\geq[/tex] -5x + 5

5x [tex]\geq[/tex] 5

x [tex]\geq[/tex] 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)

Answer:

The measure of smaller angle = 45°

Step-by-step explanation:

Finding the unknown angle

  Ratio of the supplementary angles = 3 :1

The angles are 3x , x

Supplementary angles add up to 180°

3x + x = 180

     4x = 180

       x = 180 ÷ 4

       x = 45°

3x = 3*45 = 135°

the answer to this is 40=

Step-by-step explanation:

I did this

Answer:

35 miles/hour

Step-by-step explanation:

See attached image.

Answer:

17 in.

Step-by-step explanation:

There are two same angles shown, so two sides are equal. We can form an equation x+4=4x+1. Solution is x=1, then both unknown sides are 5 in. long. Given all side lengths we add them 7+5+5+15 getting the perimeter.

Answer:

Step-by-step explanation:

it is a bracket used in maths

Answer:

They are kind of like outer brackets, so if you have some expression like this:

5 + (4 × 6 + (7 - 8)),

it's better to write it like this:

5 + [4 × 6 + (7 - 8)],

so you can read it more easily.

Answer:

1/2

Step-by-step explanation:

since every time you divide by 2, the common ratio is 1/2

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Transformation is a technique used to change the position of an object on an xy-plane.

Given the coordinate (x, y)

Rotation of the coordinate by 180° clockwise about the origin will given;

(x, y) - > (-x, -y)

If the result is translated 6 units to the left, then;

(-x, -y) -> (-x-6, -y)

If it is then reflected across the line y = x, we will switch the coordinates to have:

(-x-6, -y) -> (-y, -x - 6)

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Learn more on transformation here: https://brainly.com/question/1548871

#SPJ1

[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

[tex] \sf \dfrac{2}{15} \div \dfrac{3}{20} = \dfrac{2 \times 20}{15 \times 3} = \dfrac{40}{45} = \dfrac{8}{9} [/tex]

Answer :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \Rrightarrow \dfrac{8}{9} [/tex]

I hope I've helped : )

[tex]\dfrac{1}{50}[/tex]

[tex] \cfrac{2}{15} \times \cfrac{3}{20} [/tex]

[tex] \cfrac{2 \times 3}{15 \times 20} [/tex]

[tex] \cfrac{6}{15 \times 20} [/tex]

[tex] \cfrac{6}{300} [/tex]

[tex] \cfrac{1}{50} [/tex]

-------------------------------------------------------------------------------------------------------

Learn more about solving fractions here:

https://brainly.com/question/16627508

https://brainly.com/question/29121733

Answer:

pm = 4

M is the mid point of PQ which means that pm = mq

so MQ = 4

PQ = PM + MQ

= 4 + 4

= 8

The equation of the line of best fit is y = -0.03x + 69.94

The column headers are given as:

Year    Time(s)

To enter the data values in a graphing calculator, we use the following representations:

x ⇒ Year

y ⇒ Time (s)

Using the above representations, we have the following calculation summary from a graphing calculator:

The equation of the line of best fit is:

y = bx + a

Where

b = SP/SSX = -514.6/17242.92 = -0.02984 ≈ -0.03

a = MY - bMX = 11.7 - (-0.03*1951.59) = 69.94497 ≈ 69.94

So, we have:

y = -0.03x + 69.94

A linear equation is represented as:

y = Slope * x + y intercept

So, we have:

Slope = -0.03

y intercept = 69.94

The y-intercept implies that the initial time is 69.94 seconds, while the slope implies that the time decreases by 0.03 seconds each year

Read more about line of best fit at:

https://brainly.com/question/1518824

#SPJ1

Answer:

a = 46. Look down to find out more↓:

Step-by-step explanation:

a = kb²

4 = k(3)²

4 = k9

k = 4/9

a = 4/9(9²)

a = 4/9 (81)

a = 324/9

a = 36

The probability that the number on each roll is strictly less than the number on the previous roll is 7/72

The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!

Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.

The number of such selections will be equal to the number of solutions to the following equation:

x1 + x2 + x3 + x4 + x5 + x6 = 4

where:

x1: number 1 in selections

x2: number of 2s in selection

.

.

x6: number of 6s in selection

The number of unique solutions of such an equation = 9, choose 5 = 126

Number of possible outcomes = 6^4 = 1296

Probability of favorable results = 126/1296=7/72

For more information about probability, visit https://brainly.com/question/24756209

#SPJ4

The equation that represents Camille's profit p as a function of the number of doughnuts sold, n is P = 1.35n - 60

She bought 120 doughnuts for $60.

Therefore,

cost  = $60

Her profit was $48 once she sold 80 doughnuts.

p = profit

n = number of doughnuts sold.

Therefore,

let

x = amount she is selling each doughnuts

p = nx - 60

Using the information given we have:

48 = (80x) - 60

Therefore,

x = $1.35

Hence, for any number of doughnuts then, we have the profit equation as follows:

P = 1.35n - 60

learn more equation here: https://brainly.com/question/21691697

#SPJ1

Answer:

25 minutes

150 gallons

Step-by-step explanation:

Definition of variables

Let t = time in minutes

Let V = volume in gallons

Create two equations with the given information:

Pool A

⇒ V = 300 - 6t

Pool B

⇒ V = 400 - 10t

To find after how many minutes the two pools will have the same amount of water, substitute the equation for pool A into the equation for pool B and solve for t:

⇒ 300 - 6t = 400 - 10t

⇒ 300 - 6t + 10t = 400 - 10t + 10t

⇒ 300 + 4t = 400

⇒ 300 + 4t - 300 = 400 - 300

⇒ 4t = 100

⇒ 4t ÷ 4 = 100 ÷ 4

⇒ t = 25

Therefore, the two pools will have the same amount of water after 25 minutes.

To find how much water will be in the pools at that time, substitute the found value of t into one of the equations and solve for V:

⇒ V = 400 - 10t

⇒ V = 400 - 10(25)

⇒ V = 400 - 250

⇒ V = 150

Therefore, the amount of water in the pools at the time when they have the same amount of water is 150 gallons.

If time be x and volume be y

The equations are

Equate and solve

Now

Using percentages, we have that Puja Limbu did 80% of the problems and Raju Lama did 73.3%, hence Puja Limbu had the better performance.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

The percentage for Puja Limbu is:

[tex]P = \frac{8}{10} \times 100\% = 80\%[/tex]

The percentage for Raju Lama is:

[tex]P = \frac{11}{15} \times 100\% = 73.3\%[/tex]

80% > 73.3%, hence Puja Limbu had the better performance.

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

Answer:

1 : 4

Step-by-step explanation:

3.5 : 14 ( divide both parts by 3.5 )

= 1 : 4