The area of a rectangle is twice the area of a square. If the rectangle is 6 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.

Answer:

The third side is 3√6 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Answer:

<ABC=82°

< FEC=90°

Step-by-step explanation

Answer:

The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Step-by-step explanation:

The data for a single day is s follows:

The total number of customers is, N = 236 + 202 + 40 = 478.

Let X denote the number of costumes purchased by the next person.

Compute the probability that the next person will purchase no more than one costume as follows:

[tex]P (X\leq 1)=1-P(X>1)[/tex]

               [tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]

Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

Answer:

28.46in

Step-by-step explanation:

C=2πr

C=2π*4.53

C≈28.46in

Answer:

10,2

Step-by-step explanation:

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

Answer:

the 100th term would be 193

Step-by-step explanation:

5-(n-1) times 2

5-99 times 2

5-198

193

I hope this helps

Answer:

Yeah

Step-by-step explanation:

1. understand time management

2. Value time.

3. use time wisely

4. take advantage of the opportunity of extra time.

5. smile, it's all linear! : )

Answer:

c

Step-by-step explanation:

C is 3/5 of the way down on section -2

Answer:

Its A

Step-by-step explanation:

I just answered on edge

Answer:

In triangle ABC, angle B is obtuse.

Step-by-step explanation:

The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.

Answer:

Where's the graph? I need the graph to answer

Approximately 175 cups of tea can Christina expect to sell during the eighth hour.

We need to find how many cups of tea can Christina expect to sell during the eighth hour.

To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.

From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.

Therefore, 175 cups of tea were sold.

To learn more about the graphs visit:

https://brainly.com/question/16192791.

#SPJ5

Step-by-step explanation:

[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]

Answer: 1.75

Step-by-step explanation:

12x-3=18

+3 +3

12x=21

12 12

x=1.75

Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Answer:

stem: 5

leaf: 0, 6

stem: 6

leaf: 0, 2, 5, 6

stem: 7

leaf: 1, 5

stem: 8

leaf: 6

stem: 9

leaf: 9

i hope this helps <3

Step-by-step explanation:

Answer:

The cost of 7 pens is RS 70

Step-by-step explanation:

Let c=the cost of one book and p=the cost of one pen

5b+4p=115

b=15

5(15)+4p=115

75+4p=115

4p=115-75

4p=40

p=40/4

p=10

7p=7*10

7p=70

The cost of 7 pens is RS 70

Our range is all set of y-values. Focus on y-value only.

Our range is {1,5,-1,7,-2}

So the answer is 1, 5,-1,7 and 2

Answer:

x = 12

Step-by-step explanation:

The Answer isssssssss  x<6

Answer:

Step-by-step explanation:

Combine your like terms!

Hope this helps!

Answer:

8 dozen gingerbread men

Step-by-step explanation:

2 + 3 = 5

120 ÷ 5 = 24

24 x 4 = 96

96 ÷ 12 = 8

Answer:

3 hours

Step-by-step explanation:

yes.

Answer:

Step-by-step explanation:

Step one:

given data

time takent= 3.5hours

distance = 60.9miles

the average speed is given as

Average speed= distance/time

Average speed= 60.9/3.5

Average speed= 17.4mph

Step two:

we are told that the speed was actually maintained, so we used the previous value obatained for the following computation

For a time taken as 1 hour, the distance will be

distance= average speed * time

distance= 17.4*1

distance= 17.4 miles

Answer:

Step-by-step explanation: A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?

Answer:

150 degrees

Step-by-step explanation:

180-20-10

Answer:

10 degrees

Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

Answer:

Rs. 23520

Step-by-step explanation:

Given that :

At 12% profit ; sales price = 18,816

At (12 + 3)% profit ; sales price = x

Hence,

0.12 = 18,816

0.15 = x

Cross multiply ;

0.12x = 0.15 * 18816

0.12x = 2822.4

x = 2822.4 / 0.12

x = 23520

Hence, sales price for a 3% increaa in profit should be Rs. 23520

Answer:

if i right it (0,2)

Step-by-step explanation:

i hope u get it right

Answer:

No Solutions

The two equations do not have any intersecting points, so the answer would be zero solutions.

Step-by-step explanation: