A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of the width of the box is not taken up by pencils?

Answer:

CB = 30.15

Step-by-step explanation:

180-58-93 = 29 degrees for angle B

draw a line perpendicular to BC down to point A, lets call the perpendicular point D.

now you've got 2 similar, smaller triangles

angle A is split into two angles, 29 degrees above and 58 degrees below.

sin 29 =CD/16

CD = 7.75

cos 29 = AD/16

AD = 14

tan 58 =DB/AD = DB/14

DB = 22.40

CD + DB = 7.75 + 22.40 = 30.15

Answer:

area of the rectangle is length *breadth

length =(x+5)

breadth =(x-5)

=(x+5)(x-5)=x^2-5x+5x-25=x^2-25

Answer:

[tex]\boxed {\boxed {\sf a=x^2-25}}[/tex]

Step-by-step explanation:

The area of a rectangle is the product of length and width.

[tex]a=l*w[/tex]

The length is (x+5) and the width is (x-5).

[tex]a= (x+5)(x-5)[/tex]

We have two binominals, so we can multiply using FOIL: First, Outside, Inside, Last.

[tex]a= x^2-5x+5x-25[/tex]

Combine the like terms: -5x and 5x. They cancel each other out.

[tex]a=x^2-25[/tex]

The area of the rectangle is x²-25

Answer:

Step-by-step explanation:

On Monday Ravi drives for 4 hours.

His average speed is 30 mph.

How far does Ravi drive on Monday?

Answer:

120

Step-by-step explanation:

i dont know why they deleted the other person answer,but this IS correct.

Answer: okkkkkk

Step-by-step explanation:

How can I help you?............

Answer: interior angles

Step-by-step explanation:

Answer:

They are interior angles on the same side of the transversal

ang6 =>

180-61

=119

Hope it Helps

Answer:

theyre the same

Step-by-step explanation:

if we round 2.99 to 3.00 and 4.99 to 5.00, than theyre both $1 per pound

Answer:

Domain: [tex]x\leq 2[/tex]

Range: (∞,0)

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Answer:

9/3=3

12/3=4

step-by-step explanation:

I think it's four but sorry if its not

Answer:

Cant see the full photo {error}

Answer:

3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

2/x = 10/15

10x = 30

x = 3

Answer:

False

Step-by-step explanation:

12-5 = 7

7 x 6 = 42

42 < 50

Therefore False

Tip:

Use PEMDAS

P for ()

E for exponet

M for multiply

D for divison

A for Addition

and

S for subtraction

Have a nice day :)

Answer:

A=πr2=π·112≈380.13271

Step-by-step explanation:

Answer:

area=(3.14)(11^2)= 379.94

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check the ratio of the two given sides:

Ratios are different so the triangles are not similar

Correct choice is D

Answer:

A= (1, -6)

B=(3, -1)

C=(7, -3)

Step-by-step explanation:

Answer:

=>(4x+14)+(5x-1)+(4x-5)+(2x+7) = 360°

=>4x + 14 + 5x - 1 + 4x - 5 + 2x +7 = 360°

=>15x + 15° = 360°

=>15x = 360°- 15°

=>x = 345/15

=>x = 23

So move to K

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]

[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059

Answer:

Answer:

Step-by-step explanation:

edge2021

Answer:

in this question add all

=132.4

True Statements:

Minimum at (-3,-2)

x-intercept at (2,0)

x-intercept at (4,0)

y-intercept at (0,-16)

Answer:

Step-by-step explanation:

3/5/7=3/35

Answer:

15.4+5.4=20.8

Answer: 20.8

Step-by-step explanation: Use Long addition to Evaluate

Have a brilliant day mate - your friend Lily ^_^

Answer:

hey

b = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

9+4b=17

Step 1: Simplify both sides of the equation.

4b+9=17

Step 2: Subtract 9 from both sides.

4b+9−9=17−9

4b=8

Step 3: Divide both sides

Answer:

23

Step-by-step explanation:

1 + 4 = 5 so we get 1 4 5

then 4+5 = 9, 1 4 5 9

5+9 = 14, 1 4 5 9 14

9+14 = 23, so

1 4 5 9 14 23

23 is the 6th number in this sequence

The sixth number in the Fibonacci sequence with the first two numbers 1 and 4 is 23 and this can be determined by using the arithmetic operations.

Given :

Fibonacci sequence with the first two numbers 1 and 4.

The following steps can be used to determine the sixth number in the Fibonacci sequence:

Step 1 - If the first two numbers in the Fibonacci sequence is 1 and 4 then the third number is:

= 1 + 4

= 5

Step 2 - The Fourth number in the Fibonacci sequence is:

= 4 + 5

= 9

Step 3 - The Fifth number in the Fibonacci sequence is:

= 5 + 9

= 14

Step 4 - The Sixth number in the Fibonacci sequence is:

= 9 + 14

= 23

So, the sixth number in the Fibonacci sequence with the first two numbers 1 and 4 is 23.

For more information, refer to the link given below:

https://brainly.com/question/20595275

Answer:

(gof)(-8) = 210

Step-by-step explanation:

(gof) = (-x + 8)² - 3(-x + 8) = 2

        = x² - 16x + 64 + 3x - 24 + 2

        = x² - 13x + 42

(gof)(-8) = (-8)² - 13(-8) + 42

             = 64 + 104 + 42

             = 210

Answer:

1. Answer -48$

72-20 = 52

20 * 5 = 100

52 - 100= -48

2. 248$

-48 + 248 = 200

Step-by-step explanation:

hope this helps lovely