A rectangular book measures 3 x 5. What is the length of its
diagonal?

Answers

Answer 1
let's pythagorean theorem!
a^2 + b^2 = c^2
a and b are the sides, c is the diagonal
3^2 + 5^2 = c^2
9 + 25 = c^2
34 = c^2
5.83 = c

Related Questions

Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2

Answers

Answer:   B. 254.34 cm^2

Step-by-step explanation:

The area of a circle is pi times the radius squared.

Using the diameter we have to find the radius.

The diameter is two times the radius meaning that the radius is half the diameter.

18/ 2 = 9

The radius will be 9 cm

Now using the formula   v= pi * r^2    ,  input the value for pie and the radius and solve for  v  the volume

v = 3.14 * 9^2

v= 3.14 * 81

v = 254.34 cm^2

Answer:

The answer would be B) 254.34 cm2

Step-by-step explanation:

The principal has a budget of $225 and expects at least 16 people to attend.
Sandwiches cost $3 each.

Answers

Answer:

$48

Step-by-step explanation:

16 x 3 = 48

Answer:

awnser is 48

Step-by-step explanation:

225÷6=48 yourwelcome

The graphs of f(x) = 10' and its translation, g(x), are
What is
shown.
O g(x
g(x)
у
460
fa)
go
O g(x)
O g(x)
120
100
(2. 100)
(5, 100)
80
60
40
20
(391) (4.10)
6
1 2 3
5
6
х
140
(1.10)
60

Answers

Answer:

The first option

Step-by-step explanation:

The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]

Option A is the correct answer.

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and size.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

From the graph, we see that,

The coordinates in the line g(x) are (5, 100) and (4, 10).

Now,

g(x) = [tex]10^{x - 3[/tex] ______(1)

Substituting (5, 100) and (4, 10) in (1)

We get,

g(5) = [tex]10^{5 - 3[/tex] = 100

g(4) = [tex]10^{4 - 3[/tex] = 10

This is true.

Thus,

The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ7

Match the expression with an equivalent expression

6( n + 4 ) =

Answers

Answer:

6n + 24

Step-by-step explanation:

Use the distributive property.

6(n + 4) = 6 * n + 6 * 4 = 6n + 24

if the daimeter of a solid cylinder with lenght 140cm is 8cm , find its curved surface area ,​

Answers

Answer : The curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Step-by-step explanation :

As we are given that:

Diameter of solid cylinder = 8 cm

Length or Height o solid cylinder = 140 cm

Formula used to calculate the curved surface area of cylinder is:

Curved surface area of cylinder = [tex]2\pi r\times h[/tex]

where,

r = radius of cylinder

h = height or length of cylinder

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{8cm}{2}=4cm[/tex]

Now putting all the given values in above formula, we get:

Curved surface area of cylinder = [tex]2\times \frac{22}{7}\times 4cm\times 140cm[/tex]

Curved surface area of cylinder = [tex]3520cm^2[/tex]

Therefore, the curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Given:

Diameter of a solid cylinder = 8cm

Length (height) of cylinder = 140 cm

To find:

The curved surface area of the cylinder.

Solution:

We have,

Diameter = 8cm

Radius = [tex]\dfrac{8}{2}=4\text{ cm}[/tex]

Height = 140 cm

Curved surface area of a cylinder is

[tex]CSA=2\pi rh[/tex]

where, r is radius and h is height.

Putting r=4 and h=140 in the above formula, we get

[tex]CSA=2\times \dfrac{22}{7}\times 4\times 140[/tex]

[tex]CSA=2\times 22\times 4\times 20[/tex]

[tex]CSA=3520[/tex]

Therefore, the curved surface area of the cylinder is 3520 square cm.

how do yo do this question I have to
Solve the System by Substitution:

y = x-2
x + y = 4

Answers

x=4-y would be your answer

A combination lock is to have 4 digits (using the numbers from 1 to 9 (ie No Zero)How many different combinations are there that have all different numbers.

Answers

Answer:

3024

Step-by-step explanation:

You have to think of this in choices. You have 9 choices for the first lock (because there are 9 numbers). We would have 9 choices for the second lock, but we used one number for the previous one. So we would have 8 choices. We would continue with 7 choices for the third lock and 6 for the fourth.

Multiplying this we get 9x8x7x6=3024

Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..

Answers

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

-4x+3y=6 in
slope intercept

Answers

Answer:

y=4/3x+2

Step-by-step explanation:

The equation is in standard form right now, which is ax+by=c

your question is asking for slope intercept form, which is y=mx+b

so we need to isolate y onto 1 side

-4x+3y=6

add 4x to both sides

3y=4x+6

divide by 3 on both sides

y=4/3x+2

PLEASE HELP ME!!!!
The graph below shows the price of different numbers of cans of beans at a store:

The graph below shows the price of different numbers of cans of beans at a store:


Which equation can be used to determine p, the cost of b cans of beans? (5 points)

p = 9.50 + b
p = 9.50b
b = 9.50 + p
b = 9.50p
Which equation can be used to determine p, the cost of b cans of beans? (5 points)

p = 9.50 + b
p = 9.50b
b = 9.50 + p
b = 9.50p

Answers

Answer:

a

Step-by-step explanation:

The sum of a number x and 8

Answers

Identify X first then I can solve this

Suppose (−7, 3) is reflected across the x-axis, and then the y-axis.

What will be the new coordinates?

Answers

the answer is (7,-3) ............

Answer:

(7, –3)

Step-by-step explanation:

did it on edgen

Whats the answer pls help

Answers

Answer:

The area of the lateral surface of the cube is 12.96 cm²

Step-by-step explanation:

The lateral surface area

4 × (1.8 cm)²

An objects lateral surface are the surfaces of the object that exclude the top and bottom surfaces

In a cube, the lateral surface are the vertically oriented (with respect to the base and the top which are then oriented horizontally) surfaces of the cube

Therefore, the lateral surface area of the cube consist of four vertically oriented equal sized faces, each with side 1.8 cm

The area of the lateral surface of the cube = The area of the four vertically oriented faces of the cube

∴ The area of the lateral surface of the cube = 4 × 1.8 cm × 1.8 cm = 12.96 cm.²

PLS someone help me find the slope it’s my last question

Answers

slope is 1

slope formula: y2-y1/x2-x1

4-3/0-(-1)

a = 3.6 and b = 10, then ab = _______. *

Answers

Answer:

36

Step-by-step explanation:

3.6 * 10 = 36

Answer:

36

Step-by-step explanation:

if  a = 3.6 and b= 10 and if we want to find ab we will just multiply them

3.6 x 10 = 36

(If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left. If you multiply or divide by any power of 10, it will move a number of spaces equal to the number of 0's.)

have a wonderful day

45k+34=979 i need help

Answers

Answer:

I think its 21 because 45x21= 945+34= 979

Step-by-step explanation:

“I think of a number, multiply it by 3, add 4 and square the result​

Answers

Answer:

I choose 1 and multiplied by 3 and then by 4 so that is 7. 7squared is 49

Answer:

(3x+4)(3x-4)

Step-by-step explanation:

3 * x= 3x

3x + 4

(3x+4)(3x-4)

How would you solve this?

Answers

Answer:

For the equation, you should subtract 2x on both sides to get -y = -2x - 4.  Flip the y's negative sign to get a proper function which is y = 2x + 4.  The y-intercept is at (0, 4) and each unit will move two units up along the x-axis.

County Middle School is buying pizza for all of its students. Each pizza has 8 slices. Each student will receive 1 slice. There are 700 students at County Middle School. How many pizzas will the school need to buy?

Answers

Answer:

88 at least

Step-by-step explanation:

So, if you need to give each student a slice remainders round up to the nearest whole number. So first you simply divide 700/8 (Students/Pieces of pizza per slice) and get 87.5. Then you round up to 88 since you cannot buy half a pizza (that's weird). You will have 4 extra slices to feed the teachers btw.

Pls help me with this problem

Answers

Answer:

when adding 3

6+3=9

when subtracting 2

9-2=7

7,8,9,10,11,12,13,

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

m<1 = 54

m<3 = 54

m<4 = 126

Step-by-step explanation:

<1: <2 and <1 are supplementary angles.

<3: <2 and <3 are supplementary angles. <1 and <3 are vertical angles.

<4: <2 and <4 are vertical angles.

Supplementary angles equal to 180 degrees.

Vertical angles are equivalent.

Let's solve for <1.

<2 + <1 = 180 --> Due to supplementary angles

126 + <1 = 180 --> Substitution

126 + <1 - 126 = 180 - 126 --> Subtracted 126 on both sides

<1 = 54 --> Simplified

Let's solve for <3.

<3 = <1 --> Due to vertical angles

<3 = 54 --> Substitution

Let's solve for <4.

<4 = <2 --> Due to vertical angles

<4 = 126 --> Substitution

Therefore, m<1 = 54, m<3 = 54, and m<4 = 126

Hope this helped! <3

Answer:

1 is 54 degrees

3 is also 54 degrees

4 is 126 degrees

Step-by-step explanation:

If you would like an explanation then ask me in the comments and I will type one. :)

Round 60958 correct to 1 significant figure

Answers

The answer is 60000 because it is only to 1sf

Answer:

60,000

Step-by-step explanation:

Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically

Answers

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

Zoey walked from school to the grocery store, and then to her house. The diagram shows the top view of the three locations and some of the distances between them.

Answers

Answer:

56

Step-by-step explanation:  

Which of the following best describes the slope of the line below?

Answers

The slope has the run and raise of -2/-2 which it a negative slope

The image shows a series of figures.
Its history not math srry

2 rows of numbers. The top row shows Arabic numbers and the bottom row shows Roman numerals: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.


This new way of counting included which idea?


a decimal system

a calendar system

the concept of pi

the introduction of algebra

Answers

Answer:

I have no idea. I think its D ( the introduction of algebra )

Step-by-step explanation:

This is because I heard something about this while learning history. I am also doing the exam review. Good luck!

Answer:

a decimal system

Step-by-step explanation:

I did the test and choose b cause everyone says so, then i got it wrong, the correct answer it shows was A: a decimal system

Solve for z.

Z/4 - 11= -9

Z=

Answers

Answer:

8

Step-by-step explanation:

z/4 - 11 = -9

z/4 = 2

z = 8

3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485

Answers

1x - 13y + 475

Step-by-step explanation:

[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]

3x + 4y - 2x - 2 + 8y - 8 - 25y + 485

3x - 2x + 4y + 8y - 25y - 2 - 8 + 485

1x + 4y + 8y - 25y - 2 - 8 + 485

1x + 12y - 25y - 2 - 8 + 485

1x - 13y - 2 - 8 + 485

1x - 13y - 10 + 485

1x - 13y + 475

HOPE THIS HELPS YOU

He highest priced diamond ever sold at auction weighed 69.42 carats and sold for $1,050,000. A carat is equal to 0.2 grams. What was the weight of this diamond in grams?

Answers

Answer:

13.884 grams

Step-by-step explanation:

From the question:

1 carat = 0.2 grams

The highest priced diamond = 69.42 carats.

Hence:

1 carat = 0.2 grams

69.42 carats = x grams

x grams = 69.42 × 0.2 grams

x grams = 13.884 grams

Hence, the weight of the highest priced diamonds is 13.884 grams.

3. The sales director a manufacturer decides to try out two different methods of distributing and seling a new video game. The game is sold to a retailer for a net profit of $9.90 on each game . The game is also sold at the factory outlet for a net profit of $10.99 on each game. If 500 games are sold by the outlet, many more would have to be sold by the retailer in order for the profit to be about equal

Answers

Answer:

The number of games that need to be sold to the retailer in order for the profit to be about equal is approximately 555 games

Step-by-step explanation:

The given parameters are;

The net profit at which each game is sold to a retailer = $9.90

The net profit at which each game is sold at the factory outlet  = $10.99

The number of units sold by the outlet = 500

The amount in profit from selling at the factory outlet = 500 × $10.99 = $5,495.00

The number of games that need to be sold to the retailer in order for the profit to be about equal is given as follows;

Let "x" represent the number of games that need to be sold to the retailer in order for the profit to be about equal

Therefore, we have;

x × $9.90/game = $5,495.00

x = $5,495.00/($9.90/game) = 555.[tex]\overline {05}[/tex] games ≈ 555 games

Therefore, the number of games that need to be sold to the retailer in order for the profit to be about equal = x ≈ 555 games.

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