An envelope measures 9 inches by 4 inches. A pencil is placed at a diagonal. What is the maximum possible length of the pencil? If necessary round to the nearest tenth

Answer:

5.3

Step-by-step explanation:

a² + b² =² c²               the Pythagorean theorem

RQ² + RS² = QS²            Solve RS

6² + RS² = 8²

RS² = 64 -36

RS² = 28

RS = √28                  28 is slightly > 25   and since  √25 =5

RS = 5.3                    actually 5.2915  to a few more significant digits

Answer:

it already is in simplest form

Step-by-step explanation:

4/9 is the simplest form. There is no way to simplify it further.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

[tex]x(x-3)(x+2)[/tex]

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=x[/tex]

2. Factor out the GCF and simplify.

[tex]x(x^{2} -x-6)[/tex]

3. Factor [tex]x^{2} -x-6.[/tex]

Which two numbers add up to -1 and multiply to -6?

-3 and 2

Rewrite the expression using the numbers above.

[tex](x-3)(x+2)[/tex]

4. Done!

[tex]x(x-3)(x+2)[/tex]

Answer:

either 240 ft or 300 ft

Answer:

45 degrees

Step-by-step explanation:

Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.

180-90=90

This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

Answer:

$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.

Answer:

yes

Step-by-step explanation:

Answer:

Pls send a more clearer picture

Step-by-step explanation:

Answer: the length of BE is 27

Answer MKL = 45

Step-by-step explanation: 51.5+38.5=90

Then divid 90 by 2 and you get 45

Answer:

52,249.6

Step-by-step explanation:

Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation

When x = 15, then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5

Answer:

Hi how are you doing today Jasmine

Answer:

36cm^2

Step-by-step explanation:

12 x 4 = 48

9 * 4 =36

36/3 =12

48 - 12 = 36

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

----------------------------------------

Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

Answer:

14

Step-by-step explanation:

below is 12+2 which is the same size as the top one

Answer:

2/7

Step-by-step explanation:

Slope is the number in front of the x

Answer:

I think its 20 cm

Step-by-step explanation:

Answer:

yes!!

Step-by-step explanation:

Answer:

i believe the answer is 25.

Step-by-step explanation:

this is because if a=how much money deposited after  t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.

tell me if this is incorrect.

Answer:

25

Step-by-step explanation:

In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.

Answer:

x2, 6x, 4x2

Step-by-step explanation:

Answer: x2 , 6x , 4x , 24 .

Step-by-step explanation: i got it wrong but it did tell me the correct answer !

Answer is 16 because 16/4 = 4 + -12 = -8

Answer:

m=16

Step-by-step explanation:

-8=m/4+(-12)

4=m/4

16=m

so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.

i hope this helps :)

Answer:

10.6 minutes.........

Answer:

0.87

Step-by-step explanation:

Out of a total number of 100 questions, Daniel is said to have answered 87.

We first express this as a fraction.

Total number of questions he answered divided by total number of quiz questions

= 87/100

As a decimal, 87 divided by 100 = 0.87.

You can easily get this by using the calculator.

Thank you!

Answer:

Step-by-step explanation:

0.87 because 87+0=87