Lauren has a 16-foot ladder. The safety instructions recommend the base of
the ladder be placed 6 feet from the base of the wall. How high will the ladder
be able to reach up the wall?
Round your answer to the nearest tenth, if necessary.

Answer:

FV= $123,879.85

Step-by-step explanation:

Giving the following information:

Montlhy deposit (A)= $100

Monthly interest rate (i)= 0.09/12= 0.0075

Number of periods (n)= 12*26= 312 months

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0075^312) - 1]} / 0.0075

FV= $123,879.85

Answer:

c

Step-by-step explanation:

Answer:

10m

Step-by-step explanation:

Your teacher probably told you the necessary fundamentals of monomials. So, I'll just teach you the things needed for this particular question.

10m^3/(10m)(m)

First, in the denominator, since that m are being multiplied and they are the same terms, their exponents add:

10m * m

10m^1 * m^1

1 + 1 = 2

10m^2

Then, since that m are now being divided, their exponents subtract:

10m^3 / 10m^2

3 - 2 = 1

10m^1

10m

Answer:

reflected across the x-axis is 3,-2 and the y axis is -3,2

Step-by-step explanation:

When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead

Answer:

The correct answer is [tex]11.45 cm. ^2[/tex]

Step-by-step explanation:

I just got it correct.

The approximate area of the shaded sector in the circle shown is,

⇒ 11.45 cm²

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

A circle is shown in figure with diameter 5.4 cm.

Hence, Radius of circle = 5.4 / 2 = 2.7 cm

Since, Area of circle = πr²

Hence, We get;

Area of circle = πr²

Area of circle = 3.14 × 2.7²

Area of circle = 22.89 cm²

Thus, Area of shaded region of the circle is,

⇒ 22.89 cm²

⇒ 22.89/2 cm²

⇒ 11.45 cm²

Thus, The approximate area of the shaded sector in the circle shown is,

⇒ 11.45 cm²

Learn more about the circle visit:

https://brainly.com/question/24810873

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Answer:

-3 is less than -5

Step-by-step explanation:

the bigger the negative number is, the less it has a great amount of value.

-3>-5 is correct because -3 is greater than -5

-5 is to the left of -3 on the number line is true

-3 is to the right of -5 on the number line is true as well

hope this helps! : )

Answer:

2 i think

Step-by-step explanation:

Answer:

the first one on the top left corner

it it bc on the right side of the table is counting by twos and so therefore on the left should be added 2 with that number

Answer:

Top left.

Step-by-step explanation:

Because it's constant. X increases by 2 and y increases by 3.

Answer:

the answer is the last one median= 33; Q1= 25

Answer:

18 months=1.5 years

Step-by-step explanation:

I hope this helps

Answer:

1.5 years

Step-by-step explanation:

1 year = 12 months

18/12 = 1[tex]\frac{6}{12}[/tex] = 1.5 years

Answer:

x = 120

y = 30

Step-by-step explanation:

Given that RST is equilateral, each of its interior angles will be 60 degrees

Looking at x, it lies on a starting line with one of the interior angles of RST

The sum of angles on a straight line is 180

Thus;

x + 60 = 180

x = 180-60

x= 120

Looking at triangle RSU, the markings indicates that we have an isosceles triangle

For an isosceles triangle, the base angles are equal in value

This means that SRU is also y

Mathematically, the sum of angles in a triangle is 180

Hence;

x + y + y = 180

x + 2y = 180

120 + 2y= 180

2y = 180-120

2y = 60

y = 60/2

y = 30

Answer: √20 c. √50 d. ³√16 e. ³√8 f. 4√125 g. 2³√64 h. √⅓ i. √⅜ j. ³√9/8

Step-by-step explanation:

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Answer:

7.945 Million the answer. yah...

Answer:

the answer is D) y=2x+2

as

2=2*0+2

10=2*4+2

18=2*8+2

hope this helps

Answer:

Option B

Step-by-step explanation:

Given function is,

p(x) = x²- (2√2)x + 1

We have to find the value of p(2√2).

By substituting the value x = 2√2

p(2√2) = (2√2)² - (2√2)(2√2) + 1

           = 8 - (2√2)² + 1

           = 9 - 8

           = 1

Therefore, Option B will be the correct option.

Answer:

169

Step-by-step explanation:

13^2 is equal to 169.

13x13=169    

Answer:

5%

Step-by-step explanation:

since 25 is 5% of 500, the sales tax is 5%.

Answer:

i dont know

Step-by-step explanation:

hi

Answer:

Below in bold.

Step-by-step explanation:

Degrees = radians * 180/π.

6. 3.8 radians = 3.8 * 180 / π

    = 217.7 degrees to nearest hundredth.

8. 5π/4 radians = 5π/4 * 180/π

     =  5*180/4

     =  225 degrees.

Answer:

8

Step-by-step explanation: frst 1/2=0.5

4/0.5=8

Answer:

4 divided by 1/2 is equal to 8

Step-by-step explanation:

basically do 4*2 and you will get your answer

or you should know that 1/2=0.5

so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4

hope this helped, can i please get brainiest

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

Answer:  16.75

Step-by-step explanation:

you might need to round up to 17 if 16.75 isn't an answer on your assignment

Answer:

1: 1.5 would be 1.72 and 2 would also be 1.72.

2: Draw points at (0,1.15) (1, 1.72) (2, 2.29) (3, 2.86) Flatline Connections

Step-by-step explanation:

If Im reading it right you take 1.5 ounces and plug it into the function (it would be between 1 and 2) it would spit out 1.72 (which I'm assuming is the postage)  

It will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

first, let us find a relation between postage(dollars) and weight(ounces)

this is an equation of a straight line passing through (0,1.5) and (2,0).

y=mx+c

[tex]P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\[/tex]

since it passes through (2,0) it will satisfy the equation

therefore, c =1.5

the equation will be: [tex]P(w)=-0.75w+1.5[/tex]

after we merge both the relations, we find a single relation between cost and weight

since the cost value is 1.72 in 1 <w [tex]\leq[/tex]2

if weight is 1.5 ounces it is clearly $1.72

if weight is 2 ounces it is clearly $1.72

therefore, it will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

to get more about function refer to the link

https://brainly.com/question/20384115

Answer:

1. x=12

2. x=7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

First we should simplify the formula. The simplified formula would be 1/3n+2/3. We then substitute 10 for n. (10/3)+2/3= 12/3=4.

Step-by-step explanation:

solve inequalities

by:

Add (or subtract) a number from both sides

Multiply (or divide) both sides by a positive number

Simplify a side