A rectangular pool is 6 feet by 12 feet. A 4 foot walkway is placed around the entire pool. What is the area of just the walkway?

PLEASEE HELP

9514 1404 393

Answer:

  3. no (to both)

  4. yes (to both)

Step-by-step explanation:

3. see https://brainly.com/question/21676356 for an explanation

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4. ΔADB ≅ ΔADC by the HL theorem, so all corresponding parts of the triangles are congruent.

Segment AD bisects both angle BAC and segment BC. So, point D lies on the perpendicular bisector of BC.

Yes, there is enough information to answer the questions.

Answer:

75/25= 3 wholes

Step-by-step explanation:

Because 25*3=75 so it would be 3 wholes

Answer:

Scale factor of 2

Step-by-step explanation:

The base legnth of the after image is 8 and the original base legnth is 4 so 8/4=2

Answer:

For the profit to be maximized, 20 software programs and 80 video games should be produced

Step-by-step explanation:

Let x represent the number of the software programs and let y represent the number of video games.

We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;

x ≤ 70

y ≤ 80

Also, we are told that the overall production cannot exceed 100. Thus;

x + y ≤ 100

Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;

15x + 10y

When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.

Thus, one point of maximizing values is; (70, 30)

Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.

Thus, second point of maximization is;

(20, 80)

Putting these points into the objective function, we have;

At (70, 30); 15(70) + 10(30) = $1350

At (20, 80); 15(20) + 10(80) = $1100

For the profit to be maximized, 20 software programs and 80 video games should be produced

Answer:

2x=50

Step-by-step explanation:

Hi there,

Your question is "twice a number (x) is fifty"

Recall how a number is represented by x.

Twice a number would be represented as 2x.

Therefore, to represent that twice a number is equal to 50, that would result in the expression: [tex]2x=50[/tex]

If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.

Notice how 2 is multiplying the x.

To isolate x, divide that side by 2.

However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.

[tex]2x=50[/tex]

[tex]\frac{2x}{2} = \frac{50}{2}[/tex]

[tex]x=25[/tex]

Equation: [tex]2x=50[/tex]

Solving for x: 25

Hope that helps!

Answer:

40 for both of the long sides.

Step-by-step explanation:

Hope this helps! <3

Answer: Each long side is 20

Step-by-step explanation: If the short side were 16 then you would subtract 32 from 72. This would give you 40 you would divide this by two because you have two sides. So each long side is 20.

Answer:

NI and HN

Step-by-step explanation:

The segments are both marked with a congruency mark.

Answer:

Layla's data set has a greater spread than Elle's data set

Eplanation:

I just got it right on the test I took..

The conclusion is Layla’s data set has more outliers or extreme values than Elle’s data set.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

E and L collect data on library use from same students. L’s SD > E’s SD.

Now,

Since Elle and Layla collected data samples from the same population of students, we can assume that they have the same mean for their data sets. Hence, if Layla’s standard deviation is much larger than Elle’s standard deviation, it means that Layla’s data set has more variation or dispersion than Elle’s data set. In other words, Layla’s data set has more outliers or extreme values than Elle’s data set. This could be due to random sampling error or some other factor that influenced Layla’s data collection.

Therefore, by the standard deviation the answer will be Layla’s data set has more outliers or extreme values than Elle’s data set.

Learn more about standard deviation and variance:

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Answer:

-5y

Step-by-step explanation:

combine them -4y +(-1y)

Answer:

D

Step-by-step explanation:

to find the next term multiply by 3

Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X

Answer:

16.8

Step-by-step explanation:

the one above would the y

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

Find out more information about probability here

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Answer:

0.83

Step-by-step explanation:

0.1 + 0.73 = 0.10 + 0.73 = 0.83

Answer:

0.83

Step-by-step explanation:

0.73+0.1=0.83

I hope this helps! Have a blessed day!

The value of x from the triangle ΔEAD is x = 41°

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔEAD

Now , the measure of side AC = 4.8

The measure of side BA = 3.1

And , the measure of side EA = 4.8

The measure of side DA = 3.1

And , Corresponding sides of similar triangles are in the same ratio

So , the triangles ΔABC and ΔEAD are similar

Therefore , the angles will also be congruent

The measure of ∠ACB = The measure of ∠DEA = x°

The measure of ∠DEA = 180° - ( 53° + 86° )  ( angles of a triangle = 180° )

On simplifying the equation , we get

The measure of ∠DEA = 41°

Hence , the measure of x = 41° and they are similar triangles

To learn more about similar triangles click :

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Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.

Step-by-step explanation:

Hope this will help

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.

Step-by-step explanation:

Answer:

c. ASA

Step-by-step explanation:

Answer:

79.82

(Rounded to the nearest dollar 80)

Step-by-step explanation:

Surface area of Cylinder:

Circle:

π[tex]r^{2}[/tex]=

1π = π

so since there are 2 circles it is 2π

Rectangle:

length*width=

3*Circumference

3*(2π)=

6π

Add them all together:

2π + 6π = 8π

≈ 8*3.14

so the answer is approximately 79.82

Hope this helps :)

Answer:

c and d have a proportial relationship.

Step-by-step explanation:

hope this helps

Answer:

500 : 0.4

Step-by-step explanation:

Answer:  a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2

Step-by-step explanation:

i took this class already

Answer:

a) = 8

b)=243

c)=1 600

d)=321 489

Explanation

a) 2×2= 4×2= 8

b)3×3=9×3=27×3=81×3=243

c)4×4=16×4=64×5=320×5=1 600

d)9×7=63×9=567×9=5 103×7=35 721×9=321 489

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

192 cm²

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

Answer:

p = 36cm

Step-by-step explanation:

p = 4a

4 × 9 = 36

good luck, i hope this helps :)