If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.

Answers

Answer 1

Answer:

S = 2w( 5w + 6h)

Step-by-step explanation:

given:

S = 2(lw + lh + wh)

if l = 5w, then we simply substitute this into the expression above.

S = 2[   lw   +   lh   +   wh  ]

S = 2[   (5w)w   +   (5w)h   +   wh  ]

S = 2[   5w²   +   5wh  +   wh  ]      

S = 2( 5w²   +   6wh)         simplify by factoring out w

S = 2w( 5w + 6h)


Related Questions

The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Answers

We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

SOHCAHTOA

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

Total horizontal distance = opposite = (d + 0.6) miles

Vertical distance = Adjacent = 2.5 Miles

To obtain the angle of depression, q :

Tanθ = opposite / Adjacent

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Learn more : https://brainly.com/question/17350482

question.



Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?

Answers

Answer:

1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.

Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.

Answers

Given:

Fixed fee = $40

Additional fee = $15 per hour

To find:

The equation to represent Bob's cost to repair his refrigerator.

Solution:

Let y be the total cost for x hours.

Additional fee for one hour = $15

Additional fee for x hour = $15x

Total cost = Fixed fee + Additional fee

[tex]y=40+15x[/tex]

Therefore, the required equation is [tex]y=40+15x[/tex].

Please find X. I need help!

Answers

There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have

2/3 = (2 + x) / (3 + (x + 7))

Solve for x :

2/3 = (2 + x) / (10 + x)

2 (10 + x) = 3 (2 + x)

20 + 2x = 6 + 3x

14 = x

Estimate 4.8 x 4.15.

Answers

Answer:

19.92

Step-by-step explanation:

4.8 x 4.15

Answer:

20 is the correct answer.

Step-by-step explanation:

if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money) ​

Answers

$13.35 rougly around that

What is the slope of the line that contains these points?
Pls help

Answers

Answer:

-1

Step-by-step explanation:

m=y2-y1/x2-x1

-6-(-5)=(-1)

6-5=1

-1/1=(-1)

hope this helps :3

if it did pls mark brainliest

a line in point-slope form that goes through the points (8,-9) and (-4,15).

Answers

Answer: The answer is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

what is the distance between 1/4 and 3 1/16?

Answers

Answer:

2 13/16

Step-by-step explanation:

3/16 - 1/4

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?

Answers

Answer:

10 trips

Step-by-step explanation:

Let the number of trips to the gym be represented by t

Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.

$20 + $2× t

20 + 2t

Option B is to pay $4 each time you go.

$4 × t

= 4t

After how many trips to the gym will the cost be the same?

Option A = Option B

20 + 2t = 4t

Collect like terms

20 = 4t - 2t

20 = 2t

t = 20/2

t = 10 trips.

After 10 trips, the gym cost will be the same.

a What fractions can you find that are equivalent to 2/3?

Answers

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²

Answers

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

   a² = 400÷4

  a² = 100

 a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

                               = 6 * 10²

                               = 6* 100

                               = 600 cm²

Answer:

A

Step-by-step explanation:

I believe that I did this before.

At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?

Answers

140 people received something free. 40 people received a free drink and 100 people received a free bag of popcorn

i need help with this​

Answers

B is the answer ...............

Answer:

answer is A

Step-by-step explanation:

This symbol is called a tilde. In symbolic logic (a field of math  

used a lot in computer sciences) it is used to denote "not." For  

example, ~A means "not A." In some other contexts, it means  

"approximately." For example, pi ~= 3.1416. (Note that sometimes it is  

written above the equal sign, and sometimes it is used without an  

equal sign - it depends on the situation and the publisher.)

Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.

y = (x +
)2 +

Answers

Answer:

y = (x + 3)^2 + 1

Step-by-step explanation:

100% on edge

Have a nice day :]

The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

What is the vertex form?

The vertex form of an equation is a quadratic equation, written in the form of a parabola

The equation is given as:

[tex]y = x^2 + 6x + 10[/tex]

Write out the constant

[tex]y = (x^2 + 6x) + 10[/tex]

Take the coefficient of x

[tex]k = 6[/tex]

Divide by 2

[tex]k/2 = 3[/tex]

Square the expression

[tex](k/2)^2 = 9[/tex]

So, we have:

[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]

Rewrite as:

[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]

[tex]y = (x^2 + 6x + 9) + 1[/tex]

Express as a perfect square

[tex]y = (x + 3)^2 + 1[/tex]

Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

Read more about vertex forms at:

https://brainly.com/question/26738087

Please help!!! Will mark brainliest if you show your work and the answer!

Answers

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

Write 3.19×10−2 in standard form.

Answers

Answer:

It is already in standard form

How much combined 87.8 and 17.3

Answers

Answer:

105.1

Step-by-step explanation:

87.8+17.3=105.1

What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.

Answers

Answer:

D

Step-by-step explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values

[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

x² = 39 ( take square root of both sides )

x = [tex]\sqrt{39}[/tex] → D

Answer:

D is the answer

Step-by-step explanation:

The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?

Answers

Answer:

it was decreased by 67%

Step-by-step explanation:

Answer:

67 %

Step-by-step explanation:

A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?

Answers

5 feet and the other side is 4 feet!!

i will give 100 points for a simple question but the first person who answered will get what is the capital city of afghanistan ​

Answers

Answer:

kabul is yhe capital city

kabul is the capital city of Afghanistan.

how do you Factor in algebra 2?

for example:
r^2-r-20
and
x^2+8x+12

Answers

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 times 1 equals -20. take the -1

*what are two numbers that multiply together that equals -20 but add to equal -1?

-5 times 4 equals -20

-5 plus 4 equals -1

(r-5)(r+4)

1 x^2 + 8 x + 12

multiply the first and third terms

12 times 1 equals 12. take the 8

*what are two numbers that multiply together that equals 12 but add to equal 8?

6 times 2 equals 12

6 plus 2 equals 8

=(x+6)(x+2)

line I is the perpendicular bisector of MN. find m

Answers

Answer:

m = 68

Step-by-step explanation:

MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations

once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10

Now that we know x =10 we can insert it into the equation

5(10) + 18 = m

50 + 18 = m

m = 68

Write the expression below as a product of two factors.

12n + 8m - 4

Answers

Answer:

4(2m + 3n - 1)

I hope this helps!

Answer:

12=3*4 or 6*2.   8=4*2  and -4=4*-1

is the factors.

If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.

Answers

Answer:

tab on it.

Step-by-step explanation:

What is equivalent to

Answers

The answer is 3 with a little 7. Alternatively 2187

What is the temperature displayed on the thermometer?

Answers

Your Answer :

98.6°F (37°C).

Step - By - Step Explanation :

Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.

Note :

I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.

Good luck on your homework and have a great day.

Feel free to comment on my answer if you have any further questions.

Answer:

25

Step-by-step explanation:

It's Correct On Edge As Well :P

Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?

Answers

Answer:

10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.

Kaelyn has 4 nickels

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