Quadrilaterals ABCD and EFGH are similar. If the perimeter of the quadrilateral ABCD is equal to 4y² what is the perimeter of the quadrilateral EFGH?

Answer:

all real values of x

Step-by-step explanation:

The domain of g is the values that x can take

There are no restrictions on the values that x can take

Answer:

[tex]\boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

[tex]g(x)=5-2x[/tex]

The domain of a function is the set of all possible inputs for the function.

The value of [tex]x[/tex] can be all real numbers,

There are no restrictions on the value of [tex]x[/tex].

Answer:

none

Step-by-step explanation:

the man is carrying 3 sacks

each has 30 coconuts

so at total he has 90 coconuts:  30*3= 90  

he passe through 30 checkpoints

ha has to give 1 coconut for each sack

so he gives 3 coconuts each time: 3*1=3

there are 30 ckeckpoints so : 3*30= 90

he has spent all the coconuts unless he has a trick

He starts with 3 sacks with 30 in each sack.

He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.

The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.

Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.

Giving away 1 coconut at those checkpoints, he would have 25 left

Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

Answer:

Step-by-step explanation:

x   - total number of people the crew contains

[tex]66\frac23\%x=\frac23x\\\\\\\frac23x\qquad\rightarrow\qquad 8\\\\:\frac23\,\qquad\ \qquad\ :\frac23\\\\x\ \qquad\ \rightarrow\qquad 8:\frac23=8\cdot\frac32=4\cdot3=12[/tex]

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

Answer:

3x( 3x -2)

Step-by-step explanation:

(3x) ^2 - 6x

9x^2 -6x

The greatest common factor is 3x

3x( 3x -2)

Answer:

P(A|B) = 8/15

Step-by-step explanation:

Mathematically;

P(A|B) = P(A ∩ B)/P(B)

Thus we have

P(A|B) = 1/5 divided by 3/8

= 1/5 * 8/3 = 8/15

Answer:

Advance tickets=$25

Same-day tickets=$15

Step-by-step explanation:

Complete question below:

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Let

advance tickets=x

Same-day tickets=y

Combined cost of advance and same-day tickets=$40

It means,

x+y=40 Equ (1)

25 advance tickets and 30 same-day tickets=$1075

It means,

25x+30y=1075 Equ(2)

From (1)

x+y=40

x=40-y

Substitute x=40-y into (2)

25x+30y=1075

25(40-y)+30y=1075

1000-25y+30y=1075

5y=1075-1000

5y=75

Divide both sides by 5

5y/5=75/5

y=15

Recall,

x+y=40

x+15=40

x=40-15

=25

x=25

Advance tickets=$25

Same-day tickets=$15

Check

25x+30y=1075

25(25)+30(15)=1075

625+450=1075

1075=1075

Answer:

Step-by-step explanation:

- 8x + 44 ≥ 60

Subtract 44 from both sides

- 8x + 44 - 44 ≥ 60 - 44

- 8x ≥ 16

Divide both sides by -8 and flip the inequality sign

-8x/-8 ≤ 16/-8

x ≤ -2

x = {   ......... -4,-3,-2}

2) -4x + 50  < 58

Subtract 50from both sides

-4x + 50 -50 < 58- 50

-4x < 8

Divide both sides by -4 and flip the inequality sign

-4x/-4 > 8/-4

x > -2

x= {-1, 0 , 1 , 2....... }

Answer:

Step-by-step explanation:

1. [tex] - 8x + 44 \geqslant 60[/tex]

Move constant to R.H.S and change its sign

[tex] - 8x \geqslant 66 - 44[/tex]

Subtract the numbers

[tex] - 8x \geqslant 16[/tex]

Divide both sides of the inequality by -8 and flip the inequality sign

[tex]x \leqslant - 2[/tex]

2. [tex] - 4x + 50 < 58[/tex]

Move constant to the R.H.S and change its sign

[tex] - 4x < 58 - 50[/tex]

Subtract the numbers

[tex] - 4x < 8[/tex]

Divide both sides of the inequality by - 4 and flip the inequality sign

[tex]x > - 2[/tex]

Hope this helps...

Best regards!!

Answer:

£54 and 168.75 mins

Step-by-step explanation:

Answer:

5.8 * 10^26 kg

Step-by-step explanation:

If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth

From the question we were given the mass of the earth as 5.97 * 10^24

The mass of saturn is thus 95 * 5.97 * 10^24 =

576.15 * 10^24

This is 5.8 * 10^26 kg

→Answer:

3.2 liters of lemonade were consumed during the party.

→Step-by-step explanation:

What we know

_____________________________________

Well there is 2,500 mL of strawberry lemonade

There are  2 liters of cherry

There are 5 deciliters of dog limeade

_____________________________________

So the 5 deciliters of dog limeade doesn't count because it is limeade, not lemonade.

The question is asking for the number of liters so we need to convert the 2,500 milliliters of lemonade to liters.

Which will be 2.5 liters of lemonade.

There are also 2 liters of cherry lemonade so 2.5 + 2 is 4.5.

So if 1.3 liters were left over doing 4.5 - 1.3 we get 3.2, meaning 3.2 liters of lemonade were consumed during the party.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:

Sample Programmed Instructions Lecture TV Group Discussions

1 6 8 7 8

2 7 5 9 5

3 6 8 6 6

4 5 6 8 6

5 6 8 5 5

At the 0.01 level, what is the critical value?

a. 5.29

b. 1.00

c. 3.24

d. 1.96

Answer:

The correct option is (a)

The critical value is 5.29

Step-by-step explanation:

To obtain the critical value, we need to perform a satistical test on the given data.

Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.

ANOVA:

The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.

ANOVA in Excel:

Step 1:

In the data tab, select data analysis

Step 2:

Select "Anova single factor" from the analysis tools

Step 3:

Select the destination of input data in the "input range"

Step 4:

Select "columns" for the option "Group By"

Step 5:

Tick the option "labels in first row"

Step 6:

Set alpha = 0.01

Step 7:

Select the destination of output data in the "output options"

Output results:

Please refer to the attached results

As you can see in the output results, the critical value is 5.2922

Therefore, the correct option is (a)

Answer:

[tex]314 \frac{2}{7} cm^{2} [/tex]

Step-by-step explanation:

Surface area of sphere= 4πr², where r is the radius of the sphere.

Given that the diameter is 10cm,

2(radius)= 10cm

radius= 10 ÷2

radius= 5cm

Surface area of sphere

[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 = 0

(x - 6)² = 0

x - 6 = 0

x = 6

Hope this helps! :)

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 = 0

Factor left side.

(x - 6)² = 0

Set factor equal to 0.

x - 6 = 0

x = 6

Answer:

C

Step-by-step explanation:

She earns $3,567 and spends $2,895.  That means that $2,895 is taken away from how much she earns each month.  Subtraction is the correct operation, cancelling out choices B and D

$3,567 - $2,895

Now, you need to figure out the answer to the above problem.  Choice C is your answer.

$3,567 - $2,895 = $672

Answer and Step-by-step explanation:

When angle 1 is contrary to angle 2 the adjacent sides are parallel or identical instead. The diagonal from 1 is completely consistent with the other 2nd angle by different outward.

ASA produces two strong or contrugent triangles on the diagonal if both angle 1 and 2 are opposing one another.

Therefore ABCD is a parallelogram

Answer:

A

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

Answer:

C/2pi = r

Step-by-step explanation:

C = 2 pi r

divide with 2 pi on both sides to solve for r

C/2pi = r

Answer:

Step-by-step explanation:

Given the expression  (sec θ + tan θ) x (1 – sin θ), to simplify he expression the following steps must be followed. First we must know that from trigonometry identity, secθ = 1/cos θ and tanθ = sinθ/cosθ

Substituting this foremulas in the expression we will have:

(sec θ + tan θ) x (1 – sin θ)

= (1/cosθ + sinθ/cosθ)* (1-sinθ)

= (1+sinθ/cosθ) *1-sinθ

= {(1+sinθ)(1-sinθ)/cosθ}

= (1-sinθ+sinθ-sin²θ)/cosθ

= 1-sin²θ/cosθ

Also, from pythagoras therorem, sin²θ+cos²θ = 1

cos²θ = 1-sin²θ

substituting cos²θ = 1-sin²θ into the final expression above we have:

1-sin²θ/cosθ = cos²θ/cosθ

= cosθ

(sec θ + tan θ) x (1 – sin θ) = cosθ

Answer:

x - 135 where x is the money you have in your bank

Step-by-step explanation:

Answer:

X-135

Step-by-step explanation:

$135 from her checking account.=x

Answer:

Infinite Amount of Solutions

(1, -3.5) - 2nd Option

Step-by-step explanation:

If your systems of equations is:

x + 2y = -6

y = -1/2x - 3

Then when you put the first equation in slope intercept form, you get the exact same 2 lines. Therefore, our answer is Infinite amount of solutions.

If you systems of equations is:

x+ 2y = -6

y = -1/2 - 3

We find where the 2 graphs intersect. Therefore, our answer is (1, -3.5)

⇒Answer:

(1,-3.5)

⇒Step-by-step explanation:

Well to find the solution we need to do the following

Steps,

_______________________

Substitute y

Combine like terms

Sperearte x

When x is found substitute

Combine like terms

Single out y

_______________________

x + 2(-1/2x - 3) = -6

x - 1 - 6 = -6

x - 7 = -6

x = 1

y = -1/2(1) - 3

y = -1/2 - 3

y = -3.5

____________

Answer:

(1,-3.5)

Answer:

BV

Step-by-step explanation:

i think is the missing gap

Answer:

208cats

Step-by-step explanation:

⅝=tongue

³/16=straw=39cats

⅝+³/16=13/16

meaning total number of cats is 16/16

If ³/16=39cats

16/16=?

39×16/3

=208cats

Answer:

y=3x+4

Step-by-step explanation:

the first graph the y intercept is -3

the second equation : y=3x+4

the y intercept is 4, when x-0 y=b=4 this one has the greatest  y-intercept

Answer:

[tex]\boxed{\sf \ \ \ g^{-1}(x)=\sqrt{\dfrac{x+5}{3}} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x=(gog^{-1})(x)=g(g^{-1}(x))=3(g^{-1}(x))^2-5\\\\<=>3(g^{-1}(x))^2 = x+5\\\\\\<=> (g^{-1}(x))^2=\dfrac{x+5}{3}\\<=>g^{-1}(x)=\sqrt{\dfrac{x+5}{3}}[/tex]

hope this helps

The inverse of function is x= √1/3( y+5 )

A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g(y), a function g is the inverse of a function f. . Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.

Given:

g(x) = 3x² - 5

To find the inverse of the function take g(x) = y

Then, solve for x

y=  3x² - 5

y + 5=  3x²

x² = 1/3( y+5 )

x= √1/3( y+5 )

Hence, the inverse of function is x= √1/3( y+5 ).

Learn more about inverse function here:

https://brainly.com/question/2541698

#SPJ5

Answer:

P - 5

Step-by-step explanation:

hello

original price is P

$5 discount means that the final price is P - 5

hope this helps

Answer:

p-5

Step-by-step explanation:

Answer:

Statements 1,3 and 4 are correct

Step-by-step explanation:

We want to select the three correct statements as related to demand and supply.

Statement 1 is correct

An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease

Statement 2 is incorrect

A decrease in demand should drive down the prices of commodities for normal goods

Statement 3 is correct

A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods

Statement 4 is correct

An increase in demand would make suppliers increase the price they place on their commodities.

Answer:

L''(3,2), M''(0,2), N''(0,-2), O''(3,-2)

Step-by-step explanation:

The points that you start off with are L(-4,6), M(-1,6), N(-1,2), and O(-4,2), and when you reflect the rectangle across the y-axis, you will have (4,6), (1,6), (1,2), and (4,2). Now you can translate your rectangle down four and once to the left, which will give you L''(3,2), M''(0,2), N''(0,-2), O''(3,-2).