A rectangular book measure 12*15. What is the length of its diagonal?

Answers

Answer 1

Answer:

19.21

Step-by-step explanation:

use the formula

[tex]\sqrt{w^{2}+l^{2} }[/tex]

and simplify

[tex]\sqrt{12^{2}+15^{2} }[/tex]

[tex]\sqrt{144+225}[/tex]

[tex]\sqrt{369}[/tex] = 19.21


Related Questions

convert 300ft/min to mph with steps urgent! Thanks!

Answers

Answer:3.40909

Step-by-step explanation:300ft dived the speed value by 88

The price of a flight was increased by 2% to £700. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

$686.27

Step-by-step explanation:

700$=102% so the price before the increase was 100%

This morning, the temperature rose 2 degrees in 2/3 of an hour at what rate did the temperature rise per hour

Answers

Answer:

3 degrees per hour

Step-by-step explanation:

2 degrees in 2/3 of an hour

2/2 = 1

1 degree in 1/3 of an hour

1*3 = 3

3 degrees in 1 hour

what is the express form of 1:n 6:12 ​

Answers

Answer:

1:2

Step-by-step explanation:

1:n  to 6:12

Take the second term 6:12

Divide each term by 6 to get to 1

6/6 =1

Divide all terms by 6

6/6 : 12/6

1:2

n=2

What are the steps in solving the equation 4(2x + 3) = 10X?

Order from 1-3
Options are:
Subtract 8x from each side
Multiply each side by 4
Divide each side by 2
Add 10 to each side
Multiply 4 and 2x + 3 using the distributive property

Pls help me pls pls pls

Answers

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

4(2x + 3) = 10x

Step 2: Solve for x

Distribute 4: 8x + 12 = 10xSubtract 8x on both sides: 12 = 2xDivide both sides by 2: 6 = x

Luke was born on October 1, 2009. His grandparents put $20,000 into an account that yielded 3% interest compounded quarterly . When Luke turns 17, his grandparents will give him the money for a college education . How much will Luke get on his 17th birthday ?

Answers

Answer:

30,200$

Step-by-step explanation:

3 times 17 is 51 which is interesting and 1.51 times 20,000 is 30,200$.

3. Line A is represented by the equation, y=1/4x+5
(a) Write in slope-intercept form, the equation of a line that is steeper than line A.
(b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Answers

A) just change the numerator to anything more than 1
B) y=1/4+1

Answer:

a. y = 3x + 5

b. y = 1/4x + 1

Step-by-step explanation:

Slope is rise over run.

Part A:

The rise is 3 and the run is 1. The larger the rise and the smaller the run, the steeper the line is.

Part B:

The y-intercept of the original is at 5, so if you want to move it 4 units down, subtract 4 from 5.

5 - 4

1

Your new y-intercept is 1.

Hope this helps!

I put 100 points on this and will give brainliest. Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,350 down and $175 each month. At another dealer, she would pay $2,750 down and $150 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?

Answers

Answer:

After 16 months, the total amount paid would be the same for both dealers. This would be $5150.

Step-by-step explanation:

Let x = Number of months

Let y = Amount paid in $

y = 175x + 2350 (Dealer 1)

y = 150x + 2750 (Dealer 2)

175x + 2350 = 150x + 2750 (Make both equal and solve for x)

175x -150x = 2750 -2350

25x = 400

x = 16

After 16 months the total amount would be the same.

Now plug in 16 for x in any equation...

y = 150(16) + 2750

y = 2400 + 2750

y = 5150

Answer:

1.  16 months2.  $5,150

Step-by-step explanation:

let x = number of months

let dealer A = 2350 + 175x

let dealer B = 2750 + 150x

find:

After how many months would the total amount paid be the same for both dealers? What would that amount be?

dealer A = dealer B

2350 + 175x  = 2750 + 150x

175x - 150x = 2750 - 2350

25x = 400

x = 400/25

x = 16

plugin x=16 back into the equation

let dealer A = 2350 + 175x

                    = 2350 + 175(16)

                    = 5150

let dealer B = 2750 + 150x

                   = 2750 + 150(16)

                   = 5150

therefore,

1. it would take 16 months  pay the same for both dealers

2. the amount would be $5150

Simplify
1. 12/18 - 8/18
2. 4/3+ 2/3

Answers

Answer:

4/182

Step-by-step explanation:

12/18 - 8/18 = 4/184/3 + 2/3 = 6/3, 6/3 = 2

I hope this helps!

Answer:

1. 2/9 and the other one is 2 combined is 2 2/9

Step-by-step explanation:

                                          hope it helps :b :) :D

(N to the 5 power)( N to the 2 power)

Answers

Answer:

(N^5)(N^2)

Step-by-step explanation:

N to the power of 5= (N^5) while N to the power of 2 = (N^2)

Answer:

(N^5)(N^2)

Step-by-step explanation:

X 3.2.603
Question Help
Thomas needs to earn a C in his Physics class. His current test scores are 66, 66, 74, and 78. His final exam is worth 4 test scores. In order to earn a C, Thomas's
average must lie between 70 and 79 inclusive. What range of scores can Thomas receive on the final exam to earn a C in the course?

Answers

Answer:

sorry dear I did not understand

#stealing-points4fun
Joe nuts ?

Answers

Answer:

lol

Step-by-step explanation:

Answer:

mmmmmmmmmmmmmmm nutssssssss

9. Translate: The product of x and y.
a)
с) ху
b) 2(xy)
d) (x) + (y)

Answers

Answer:

c) xy

Step-by-step explanation:

It asked for product and that means mulitply and when multiplying two diffrend variables you put them together x*y=xy

Jordan has a garden that is enclosed by a rectangular fence. The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of Jordan’s garden

Answers

Answer:

The area of Jordan’s garden is 272 ft^2

Step-by-step explanation:

Here, we are interested in calculating the area of the rectangular garden.

Mathematically;

Area of rectangle = Length * Width

Since we have the length, we can get the width from the perimeter

Let the length be l and width be w

Mathematically;

Perimeter = 2(l + w)

Hence;

84 = 2(l + 8)

divide both sides by 2

84/2 = l + 8

42 = l + 8

l = 42-8

l = 34

The area of the rectangle is thus;

34 * 8 = 272 ft^2

13. A bag of oranges costs $6.40 including tax. There are 16 oranges in each
bag. How much is the cost of one orange?
Plz help

Answers

It would would be $0.4

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5-4i and Thomas has a score of 3+2i , what is their total score?

Answers

Answer: 8-2i

Step-by-step explanation:

edge

help me asap please.

Answers

Answer:

16

Step-by-step explanation:

Solve this Linear Equation
12=-2(-9-3z)

a.) -36
b.) -1
c.) 18
d.) 2

No need to show work!

Answers

the answer to your question is b -1

Which is a reason that organic farming is more expensive than conventional farming?

Answers

Answer:

Organic farmers must pay for a costly certification process.

Step-by-step explanation:

Just took the quiz!

Enter the digits in numerical order, from least to greatest. Some digits will repeat. Help plz!

Answers

Answer:

I only know that for table e the bottom under 4 is 6.

Step-by-step explanation:

Hey Help.
What is 3(4)?

Answers

Answer:

12

Step-by-step explanation:

3(4) is 12. If you have three groups and 4 things in each group, then you end up with 12.

Answer:

12

Step-by-step explanation:

3(4) is equal to 3 · 4

3 · 4 is 12

A florist is making bouquets for a wedding. She starts with 85 flowers. She makes 7 bouquets. She has 15 flowers left over. What equation can be used to solve the number of flowers, x the florist uses in each bouquet?

Answers

Answer:

x = (85 - 15)/7

Step-by-step explanation:

x = (85 - 15)/7

x = 10

Mass of propane = 4,300 g

Volume of propane = 10,000 mL

Answers

What's the Question? or the Problem you need Help

What are the center and the radius of the circle 4x2 + 4y2 - 8x + 16y -4 = 0?

Answers

Answer:

Center of circle: (1, -2)

Radius: √6

Step-by-step explanation:

First, we need to isolate the constant:

[tex]4x^2 + 4y^2 - 8x + 16y = 4[/tex]

Then, we can divide the whole equation by 4:

[tex]x^2+y^2-2x+4y=1[/tex]

Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)

[tex](x^2-2x)+(y^2+4y)=1\\(x^2-2x+1)+(y^2+4y)=1+1\\(x^2-2x+1)+(y^2+4y+4)=1+1+4\\(x-1)^2+(y+2)^2=6[/tex]

Now that we got the standard equation of the circle, we can find the center and radius by using the equation [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the coordinate of the center, and r is the radius.

Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.

The center of the circle is (1,-2) and the radius is [tex]\sqrt{6}[/tex].

Important information:

The given equation of a circle is [tex]4x^2+4y^2-8x+16y-4=0[/tex].Circle:

The standard equation of the circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]            ...(i)

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius.

The given equation can be written as:

[tex]4(x^2+y^2-2x+4y-1)=0[/tex]

[tex](x^2-2x)+(y^2+4y)=1[/tex]

Add square of half of coefficients of [tex]x[/tex] and [tex]y[/tex].

[tex]\left(x^2-2x+1^2\right)+(y^2+4y+2^2)=1+1^2+2^2[/tex]

[tex](x-1)^2+(y+2)^2=1+1+4[/tex]

[tex](x-1)^2+(y+2)^2=6[/tex]

[tex](x-1)^2+(y+2)^2=(\sqrt{6})^2[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]h=1[/tex]

[tex]k=-2[/tex]

[tex]r=\sqrt{6}[/tex]

Therefore, the center of the circle is (1,-2) and the radius is [tex]\sqrt{6}[/tex].

Find out more about 'Circle' here:

https://brainly.com/question/2495058

A bag contains 6 red candies and 14 blue candies a piece of candy is taken randomly from the bag what is the probability it is a red candy.

Answers

Answer:

6/20

1. number of all candy is 14+6

2.the probability of red candy taken is 6/20

The probability it is a red candy = 3/10

What do you mean by Probability ?

Probability is the measure of likeliness of happening of an event , It has the range of 0 to 1 and the 0 here means (unlikely) to 1 (certainty).

It is given in the question that

A bag contains 6 red candies and 14 blue candies

Probability Formula = p/n

here

p is the likeliness of an event

n is the total possible trials

a piece of candy is taken randomly from the bag

the probability it is a red candy = p/n

p = 6

n= Total number of candy  = 20

Probability = 6/20 = 3/10

the probability it is a red candy = 3/10

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Did I graph this linear equation correctly?​

Answers

Answer:

Step-by-step explanation:

The question asks you to graph the inequality

The steps of drawing the inequality are the same steps of drawing the equation except the area of the solution

→ The solution of the equation is just all the points lie on the line

→ The solution of the inequality is one of these cases:

All the points on the line and on the area down the line if the inequality y ≤ ......All the points on the line and on the area over the line if the inequality y ≥ .......All the points on the area down the line if the inequality y < ......All the points on the area over the line if the inequality y > .......

∵ The inequality is 4x - 3y ≤ 6

∴ The equation of the line is 4x - 3y = 6

Your drawing is right, BUT you must shade the area over the line because the solution of the inequality is all the points on the line and over the line

The coefficient of y is -3 which means we will divide the sides of the  inequality by a negative number, so sign the inequality must e reversed

I attached the figure of the inequality to show you the explanation above.

The red shaded is the area of the solution of the inequality.

What is the answer??? 5 + 6x = 2x + 33

Answers

Answer:

7

Step-by-step explanation:

5 + 6x = 2x + 33

-2x - 2x

5 + 4x = 33

-5 -5

4x = 28

/4 /4

x = 7

Answer:

5 + 6x = 2x + 33

5 + 4x = 33

4x = 28

x = 7

Step-by-step explanation:

hope this helps

A square has a perimeter of 56 yd. What is the length of each side?

Answers

56 / 4
= 14 yds

14 yds for each side.

8-11, Please help me! NEED ANSWERS.

Answers

-3 I think probably

It should be 45, 30, 70, 30

1
Select all relations that are functions from the choices below



Answers

Answer:

Option (D).

Step-by-step explanation:

If the graph of a relation has two output values for a single input value, relation will not be considered to be a function.

Option (A).

For the input values of x = -1, there are two output values, y = -1, 1.

Therefore, given relation is not a function.

Option (B).

Since, all the parabolas don't represent a function, given parabola in the graph is not a function.

Option (C).

Not a function. It's a relation.

Option (D).

Line plotted in the graph has a distinct output value for every input value.

Therefore, the given graph represents a linear function.

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