This shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation for π.

What is the approximate perimeter of the entire shape? Solve on paper, and enter your answer on Zearn. You can use your Zearn calculator to help you solve.

In the given figure, w= 27

Verification:

Solution

From SAS

XY=QP and YZ=QR

therefore ∠Y = ∠Q

since the interior angles of the triangle are supplementary

∠Y + ∠X +∠Z = 180

∠Y + 22 + 36 = 180

∠Y = 180 - 58 = 122

therefore, ∠Q is also equal to 122

and (4w+ 14) =122

122 - 14 = 4w

108 = 4w

w = 108/4 = 27

Hence, from the SAS criterion

w is equal to 27

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Answer:A is 7 B is -1 C is -9 D is -13

Step-by-step explanation: I hoped i  have helped u! Have a wonderful day!

Answer:

See below

Step-by-step explanation:

Amount = 100 (1/2)^x

after 3 days

    amount = 100 ( 1/2)^3 = 12.5 gm left

The net yardage the team had after those 4 plays is -32.

From the information, the football team averaged a loss of 8 yards in each of 4 plays.

In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:

= Yards loss × Number of matches

= -8 × 4

= -32

This illustrates the concept of multiplication that was used to calculate the net yardage.

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The solution of the given inequality is when the value of x is greater than or equal 2.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given expression is 3(x-3) -5 (3x-2)≤ 25.

Therefore, the given inequality can be solved as,

3(x-3) - 5(3x-2) ≤ 25

3x - 9 - 15x + 10 ≤ 25

-12x + 1 ≤ 25

-12x ≤ 25 - 1

-12x ≤ 24

x ≥ 2

Hence, the solution of the given inequality is x ≥ 2.

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Answer:

it's not possible

because Z^2 = Z*Z

and the condition to multiply two arrays is :

( the column in first array have to equal the row in the second array)

The value of ∠M is, 30

acc to our question-

Hence,The value of ∠M is, 30

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The new price of the flight is $208.25

In this question, we have the following parameters

Discount proportion = 15%

Cost of flight = $245

This means that

New price = Cost of flight x (1 - Discount proportion)

Substitute the known values in the above equation, so, we have the following representation

New price = $245 x (1 - 15%)

Evaluate the product

New price = $208.25

Hence, th new price is $208.25

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Barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.

Given:

Tyler uses 7.5 ounces of barbecue sauce from a full bottle ,he estimates that he used about 25% of the barbecue sauce in the bottle.

25% = 7.5

multiply by 4 on both sides

25%*4 = 7.5 * 4

100% = 75/10 * 4

= 300/10

Full bottle = 30 ounces.

b.

Tyler uses 20% of the remaining barbecue sauce.

Remaining sauce = 30 - 7.5

= 22.5

= 22.5*20/100

= 2.25*20/10

= 2.25*2

second time= 4.50 ounces

Therefore barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.

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The polygon's WXYZ and ABCD are similar.

What is similar figures?

The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.

Consider, the polygons WXYZ and ABCD

The angles, "∠W and ∠A"  and "∠Y and ∠C" are congruent to each other.

Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.

Now consider, the sides

The sides "WZ and AD", "XY and BC"  and "WX and AB" , "ZY and DC" are having the equivalent ratio.

Therefore, the polygons WXYZ and ABCD are similar.

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Answer:11

Step-by-step explanation: 44 divided into 4 is 11.

Answer:

The answer would be 11

Step-by-step explanation:

Because, 44 divided by 4 = 11

The  equivalent monthly growth rate is 7.2 %

Since the number of computer security breaches is expected to increase at a yearly rate of 86%. Using the exponential growth model we need to determine the equivalent monthly rate

.

The exponential growth model is given by y = A(1 + r)ⁿ where

This is the rate at which the function increases.

Since the number of computer security breaches is expected to increase at a yearly rate of 86% we have that the growth rate, r = 86% per year.

To find the monthly growth rate, we covert this to per month by dividing by 12.  

So, the monthly growth rate r' = r/12

= 86%/12

= 7.16 %

≅ 7.2 %

So, the  monthly growth rate is 7.2 %

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Answer:

5.3%

Step-by-step explanation:

I took the test.

Answer:

3

Step-by-step explanation:

The value of the operation is 3.

The first step is to solve for the terms in the brackets.

The decimals would be added first 8.7 + 3.3 = 12 

The second step is to determine the square of one-half² =  x  = 1/4 

The third step is to multiply, 1/4 by 12 1/4 x 12 = 3

The correct options are that Multiply by 5 on both sides of the equation.

7 × 5 = 35. thus Dolev had 35 pretzels.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Dolev has 5 friends and each friend got 7 pretzels, the equation that can be used to represent this will be;

p / 5 = 7

In order to determine the value of p, the following steps would be taken :

Now Multiply both sides of the equation by 5:

p = 7 x 5

Then Determine the product of the numbers :

7 x 5 = 35

The correct options are; that Multiply by 5 on both sides of the equation.

Dolev had 35 pretzels.

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False, the leftmost end point of a line segment cannot be specified as the start point of the line

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.

Given,

False, the leftmost end point of a line segment cannot be specified as the start point of the line.

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The cost of s and 20 songs are $1.25s and $25 respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that music services cost $6 per month to Nachelle.

And to download songs for offline listening, the service charges $1.25 per song.

If she wants to download s songs,

The cost of s songs = the cost of one song multiplied by s

The cost of s songs =$1.25 multiplied by s

The cost of s songs = $1.25s

Here s = 20 then

cost of 20 songs = $1.25 x 20

                           = $25

Therefore the cost of s and 20 songs are $1.25s and $25 respectively.

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The equation of the straight lines are:

For m = 6 and (x1, y1) = (2, 8)  => y = 6x - 4

For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4

We know that the equation of a line with gradient m and y-intercept is:

y = mx + c.

We need to find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.

We know the point-slope form of equation of line,

(y - y1) = m(x - x1)

For m = 6 and (x1, y1) = (2, 8)

(y - 8) = 6(x - 2)

y - 8 = 6x - 12

y = 6x - 4

For m = 7 and (x1, y1) = (2, 10)

(y - 10) = 7(x - 2)

y - 10 = 7x - 14

y = 7x - 4

Therefore,  the equation of the straight lines are:

For m = 6 and (x1, y1) = (2, 8)  => y = 6x - 4

For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4

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Answer:

(y+x)+8

it is expressed like that i think

Answer:

(Y+x)+8

Step-by-step explanation:

The equivalent expressions using only positive exponents are 1/(7x⁵y⁸)⁵ and (5y³/x⁶)⁵

Expression 1

From the question, the expression is given as

(49x¹⁰y¹⁶)⁻⁵/²

Express the radicals as roots

So, we have

(49x¹⁰y¹⁶)⁻⁵/² = √[(49x¹⁰y¹⁶)]⁻⁵

Take the square root of each of the factor in the bracket

This gives

(49x¹⁰y¹⁶)⁻⁵/² = (7x⁵y⁸)⁻⁵

Apply the negative exponent rule of indices

So, we have

(49x¹⁰y¹⁶)⁻⁵/² = 1/(7x⁵y⁸)⁵

Expression 2

From the question, the expression is given as

(125x⁻¹⁸y⁹)⁵/₃

Express the radicals as roots

So, we have

(125x⁻¹⁸y⁹)⁵/₃ = ∛[(125x⁻¹⁸y⁹)]⁵

Take the cube root of each of the factor in the bracket

This gives

(125x⁻¹⁸y⁹)⁵/₃ = (5x⁻⁶y³)⁵

Apply the negative exponent rule of indices

So, we have

(125x⁻¹⁸y⁹)⁵/₃ = (5y³/x⁶)⁵

Hence, the equivalent expression is  (125x⁻¹⁸y⁹)⁵/₃ = (5y³/x⁶)⁵

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The required graph of the given expression f(x) = 3x – 4, is shown.

Given that,
To draw the graph of the expression f(x) = 3x – 4,  for the domain x  ≥ 1.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,

y = f(x)
Given expression,
f(x) = 3x – 4,
So,
y = 3x - 4
For the domain y x ≥ 1,
Since the function given is a linear function and the graph will be a straight line of the slope m = 2,

Thus, the required graph of the given expression f(x) = 3x – 4, is shown.

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I hope this helps!

42x +55y =380

The evaluation of the rational algebraic expression  are presented as follows;

1.  [tex]\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}[/tex]

2. [tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2 + 2\cdot x \cdot y + y^2}{x \cdot y}[/tex]

3. [tex]\dfrac{3 \cdot x + 1}{x^2+2\cdot x +1} +\dfrac{5}{2\cdot x + 8} =\dfrac{11\cdot x^2 +36\cdot x +13}{2\cdot x^3 + 12\cdot x^2 + 18\cdot x+ 8}[/tex]

A rational algebraic expression is an algebraic expression that consists of a quotient and divisor that consists of variables and numbers.

1. [tex]\dfrac{1}{3} + \dfrac{2}{5}[/tex]

[tex]\dfrac{1}{3} + \dfrac{2}{5} = \dfrac{5\times 1 + 2 \times 3}{3\times 5} =\dfrac{5 + 6}{15}[/tex]

[tex]\dfrac{5 + 6}{15} = \dfrac{11}{15}[/tex]

Therefore, we get;

[tex]\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}[/tex]

2. [tex]\dfrac{x + y}{x} + \dfrac{x + y}{y}[/tex]

[tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}[/tex]

[tex]\dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}= \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}[/tex]

Therefore;

[tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}[/tex]

3. [tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}[/tex]

[tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8} = \dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)}[/tex]

[tex]\dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)} = \dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}[/tex]

[tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}=\dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}[/tex]

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After simplification, the second option |−4| < |−5| is true.

In the given question,

There are four options. We have to check which option is true.

The given options are

1) |−5| < 4

2) |−4| < |−5|

3) |−5| = −5

4) |−4| > |5|

To find the true option we solve the given option one by one.

The first option is

|−5| < 4

Now solving

As we know that every value from the mod always give positive value.

So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.

Now solving the second statement.

|−4| < |−5|

After solving |−4|, the value is 4 and |−5| is 5.

So the simplified statement is 4 < 5 which is true.

Hence, the second statement is true.

Now we get the true statement so we haven't solve any further option.

If you want the solve next option the the way of solving the option is same.

Hence, the second option |−4| < |−5| is true.

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Answer:2380 minutes. By saying how many more minutes does an infant sleep than an adult in one week impies that you have to subtract how long an adult sleeps taken away from the amount of time an infinte sleeps. Once you get the answer you multiply it by seven.

Step-by-step explanation:

Answer:340 minutes

Step-by-step explanation:you subtract the amount an infant sleeps (820 minutes) by the amount an adult sleeps (480 minutes)

820-480=340

Step-by-step explanation:

imagine a circle with J being the center, and JK being the radius.

then

sin(J) = 15.1/JK

cos(J) = 9.4/JK

we have one trigonometric function, where we don't need to calculate JK first : tangent.

tan(J) = sin(J)/cos(J) = 15.1/JK / 9.4/JK = 15.1/9.4 =

= 1.606382978...

J = 58.09705252...° ≈ 58.1°

Angle are ,x = 45 and y = 45

acc to our question-

Hence,Angle are ,x = 45 and y = 45

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Answer:

n = 7

Step-by-step explanation:

The equation is,

→ n - 3n = 14 - 4n

Now the value of n will be,

→ n - 3n = 14 - 4n

→ -2n = 14 - 4n

→ -2n + 4n = 14

→ 2n = 14

→ n = 14/2

→ [ n = 7 ]

Hence, the value of n is 7.

As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.

After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.

Go a few rounds to establish the pattern:

Beginning chips: A B C

15 14 13

1st round:

12 15 14

2nd round: 13 12 15

3rd round: 14 13 12

So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.

So after 36 rounds each will be down 12 from the beginning:

                                            A B C

                                             3 2 1

On the 37 round A will give up his 3 to end at 0

37

For more clear understanding:

As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.

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