Solve S= lw + wh+ lh for h. Hint: Use the distributive property to factor out h.
the
vcloc

Answers

Answer 1

Answer:

[tex]{ \rm{S = lw + wh + lh}}[/tex]

• Group the h terms by organised term arrangement :

[tex]{ \rm{S = (wh + lh) + lw}}[/tex]

• Then using distributive property, factorise out the value h so that the reverse is true.

[tex]{ \rm{S = h(w + l) + lw}}[/tex]

• for the variable "lw", divide it by h in order to add it to the bracket of (w + l). Make sure the reverse is true:

[tex]{ \rm{S = h(w + l) + h( \frac{lw}{h} )}} \\ [/tex]

• finally, completely factorise out the value h

[tex] \hookrightarrow \: \: { \boxed{ \boxed { \rm{ \: \: S = h(w + l + \frac{lw}{h} ) \: \: }}}}[/tex]


Related Questions

Angle x and angle y are complementary angles. If m

Answers

If its a triangle called xym then the answer is if m=90

How do i solve this?

Answers

So we already know that you have to pay $29.99 for the bill. So we can subtract $34-$29.99. That leaves us with $4.01 for the messages now the messages costs $0.16 per message, so we simply devise or you can multiply but you can divide $4.01/$0.16. Which comes I out to be 25.0625.

Kevin uses each of the digits 5, 7, 4 and 9, once and once only, to make
four-digit numbers.
C)
What is the largest number that he can make?

Answers

the largest number he can make is 9,754
explanation: 9 is the biggest number so you do 9 and then the next biggest number is 7 and then 5 and then 4 so it’s 9,754 :)

Answer:

9,745

Step-by-step explanation:

Find the missing angle measures.

Y = ?

Z = ?

X = ?

Answers

Answer:

Y = 63

Z = 85

X = 130

step-by-step explanation:

In a certain class, 18/25 of the students got problem 10 wrong on Friday's math test.

Answers

Answer:

72% i think but I may be wrong

PLEASE HELP ME!! no spame

Answers

1/8
I’m adding random stuff to send the answer!:)

Answer:

D. 1/8

Step-by-step explanation:

Use the slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(-4-(-5))/(0-(-8))=1/8[/tex]

The solution to a system of two equations is "no solutions". Describe the graph of the two equations.

two parallel lines
two perpendicular lines
two intersecting lines
two overlapping lines

Answers

Answer:

two parallel lines

Step-by-step explanation:

the answer is parallel lines because parallel lines never touch so you would never have an answer. all the other answer choices mention some sort of intersection

Kiara peeled 2 oranges every 4 hours. At that rate, how many would she peel in 12 hours?
please put an explanation, thank you!

Answers

You peel 2 oranges every 4 hours; This is your rate. Peeling 2 oranges every 4 hours is the same as peeling 1 orange every 2 hours, which is the same as peeling 5 oranges every 10 hours, and so on. The important thing is, you are peeling HALF the amount of oranges as the amount of hours go by. So, if you’re peeling for 12hours (and we now that kiara peels half as many orange as the amount of hours that pass) this means she peels 6 oranges (since 12 multiplied by 1/2 is 6)

First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.

Then find the area of the divisions.

Answers

Answer:

The figure will have  2 triangles and 2 rectangles .

The triangles have a combined area of  12  m2.

The rectangles have a combined area of  25  m2.

The figure has a total area of  37 m2.

The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.

The total area of the triangles = 26 m²

The total area of the rectangles = 12 m²

The total area of the figure = 38 m²

Given,

The figure is given.

We need to complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.

What is the area of a triangle and rectangle?

Area of a triangle: 1/2 x base x height

Area of a rectangle: length x width

We have,

Two triangles and one rectangle.

                        E__3__F

                         |.          |

                         |           | 4m

        _A_4m_G|_____| D

      /.  |   \.                    /

    /.    |     \.                /
   /     4      \.             /                                          

 /.       |        \.         /

/.         |          \.    /

B.        6m         C.            

Area of triangle ABC

= 1/2 x 6 x 4

= 12 m²

Area of triangle ACD.

= 1/2 x 7 x 4

= 14 m²

The total area of the triangles.

= 12 + 14

= 26 m²

Area of the rectangle EFDG

= 4 x 3

= 12 m²

The total area of the figure.

= 26 + 12

= 38 m²


Thus,

The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.

The total area of the triangles = 26 m²

The total area of the rectangles = 12 m²

The total area of the figure = 38 m²

Learn more about the area of triangles and rectangles here:

https://brainly.com/question/27701864

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What number is represented by 4x2+17x+2if x=10?

Answers

Answer:

4x²+17x+2=52

Step-by-step explanation:

Step-by-step explanation: The given equation is 4x2 +17x+2. Here, lets substitute the value of x = 10. So, the equation simplifies to 4× (10)²+17(10)+2 , = (4 x 100) + 170 + 2 = 400 + 170 + 2 = 572 So, at x = 10, 4x²+17x+2=52

PLEASE HELP I REALLY DONT UNDERSTAND THANK YOUU

Answers

Answer:

x=34º

Step-by-step explanation:

a line always = 180º

so y+81=180

y=99º

a triangle is also always 180º total

so x+y+47=180

x+99+47=180

x+47=81

x=34

mathematics algebra sat

Answers

Hey there!

2(p + 1) + 8(p - 1) = 5p

2(p) + 2(1) + 8(p) + 8(-1) = 5p

2p + 2 + 8p - 8 = 5p

10p - 6 = 5p

SUBTRACT 5p to BOTH SIDES

10p - 6 - 5p = 5p - 5p

SIMPLIFY IT!

5p - 6 = 0

ADD 6 to BOTH SIDES

5p - 6 + 6 = 0 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 0 + 6 because it helps solve for the p-value

5p = 0 + 6

5p = 6

DIVIDE 5 to BOTH SIDES

5p/5 = 6/5

CANCEL out: 5/5 because it gives you 1

KEEP: 6/5 because gives you the result of the p-value

SIMPLIFY IT!

p = 6/5

Therefore, your answer is: p = 6/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

p = -11
Hope this helps!

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. 6) Which model represents the situation?

Answers

The total cost of pizza and drinks, is an illustration of a linear function.

The model that represents the situation is: [tex]\mathbf{10 + 3d = 19}[/tex]

The given parameters are:

[tex]\mathbf{Total =19}[/tex]

[tex]\mathbf{1\ pizza =10}[/tex]

[tex]\mathbf{1\ drink =d}[/tex]

The cost of 3 drinks will be 3d

The total cost would then be:

[tex]\mathbf{Total = 10 + 3d}[/tex]

Substitute 19 for Total

[tex]\mathbf{10 + 3d = 19}[/tex]

Rewrite the above equation as:

[tex]\mathbf{3d + 10 = 19}[/tex]

Hence, the model that represents the situation is: [tex]\mathbf{10 + 3d = 19}[/tex]

Read more about linear functions at:

https://brainly.com/question/13496810

So I have this question I cannot figure out 3w+w2+1=10−w

Answers

Answer:

Answer: w is 1.6 or. -5.6

Step-by-step explanation:

• I guess the question asks to find the value of w

[tex]{ \rm{3w + {w}^{2} + 1 = 10 - w }}[/tex]

• arrange the equation in a quadratic equation format. i.e; ax² + bx + c = 0

[tex]{ \rm{ {w}^{2} + (3w + w) + 1 - 10 = 0 }} \\ \\ { \rm{ {w}^{2} + 4w - 9 = 0 }}[/tex]

• let's solve the equation using the quadratic formular

[tex] \hookrightarrow \: { \tt{w = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ [/tex]

a is 1b is 4c is -9

• Substitute following the mathematical operation rules:

[tex]{ \rm{w = \frac{ - 4 \pm \sqrt{ {4}^{2} - (4 \times 1 \times - 9) } }{(2 \times 1)} }} \\ \\ { \rm{w = \frac{ - 4 \pm \sqrt{52} }{2} }}[/tex]

• split the result:

[tex]{ \rm{either \: \{w = \frac{ - 4 + \sqrt{52} }{2} \} \: \: or \: \: \{w = \frac{ - 4 - \sqrt{52} }{2} \} }} \\ \\ { \rm{either \: \{w = 1.6 \} \: \: or \: \: \{w = - 5.6 \}}}[/tex]

On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day?

Answers

Answer:

speed=distance/time

8=distance/15

120km= distance

Step-by-step explanation:

On Dan's phone, 30% of the apps are are gaming apps. If 12 of his apps are gaming apps, how many total apps are on his phone?

Answers

Answer:

Dan has 40 total apps

Step-by-step explanation:

30% = 12 apps

10% = 4 apps

10% · 10 = 100%

4 · 10 = 40 apps

guys pls help me!!!!!!

Answers

Answer:

[tex]x = 127[/tex]

Step-by-step explanation:

Vertical Angles

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
14 yd
15 yd
17 yd

Answers

Answer:

A = 42.5 yd²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 17 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 17 × 5 = [tex]\frac{1}{2}[/tex] × 85 = 42.5 yd²

Someone pls help me I will make you as brain

Answers

Answer:

It's -3 :)

Step-by-step explanation:

g(x) = 1 and f(x) = -3 and to find k you need to do f(x)/g(x). Therefore, -3/1 = -3. Hope this helped!

Answer: -3

Explanation: I got it right

45. Anela and Jacob plan to attend a concert in Brady.

Anela will drive 375 km to Brady at a constant speed

of 75 km/hr, stopping one time for a 30-minute break.

Jacob will start 600 km from Brady and will drive at a

constant speed of 90 km/hr for 2 hours. He will take a

1-hour break and then drive to Brady at a constant

speed of 70 km/hr. To the nearest 0.1 hour, Jacob must

leave how much earlier than Anela in order for them to

arrive in Brady at the same time?

B. 2.5

C. 3.1

D. 3.5

Answers

I think the answer is C I hope I helped you

Jacob must leave 3.5 hours earlier than Anela to arrive at same time.

What is speed?

The distance traveled by an object in relation to the amount of time it takes to travel that distance is one way to define speed. Simply put, it is a measurement of an object's speed without providing direction. The term "velocity" refers to the speed at which we can obtain direction.

Given Anela distance to Brady = 375 km

speed of Anela = 75 km/hr

time taken by Anela is distance/speed

time taken by Anela = 375/75 = 5 hours

total time taken by time taken by Anela = 5 hours + 30 minute

30 minutes = .5 hours

total time taken by time taken by Anela = 5 hours + 0.5 = 5.5 hours

Jacob distance to Brady = 600 km

distance covered in 2 hours with speed 90 km/hr

= speed x time = 90 x 2 = 180 km

distance left = 600 - 180 = 420 km

time taken for 420 km at speed 70 km/hr

= 420/70 = 6 hours

total time taken by Jacob = 2 + 1 + 6 = 9 hours

difference in time of Jacob and Anela = 9 -5.5 = 3.5 hours

Hence Jacob should leave 3.5 hours early.

Learn more about speed;

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The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis. What is the batting's thermal conductivity value in \dfrac{\text{W}}{\text{cm}\cdot^\circ\text{C}} cm⋅ ∘ C W ​ start fraction, start text, W, end text, divided by, start text, c, m, end text, dot, degrees, start text, C, end text, end fraction?

Answers

I don’t even know so don’t ask me I’m just here for the pts

HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

the answer is 2

Step-by-step explanation:

sorry if I am wrong

Answer: 2

Step by Step explanation:

The question is asking for the median value of a range of values, and since there is 9 numbers, the midmost number is between the 4th and 5th number (2 and 2). Due to us having 2 numbers, we then need to find the average between the two numbers, (2+2)/2 which is 2.

Odita wants to know if the students in her school like to play cricket. I am only going to ask the boys. Will the results of her survey give a fair result? Give a reason for your answer.

Answers

They might give a fair result because of simps or they might end up bad because she’s a girl

Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy

Answers

Answer:

.$5.25

Step-by-step explanation:

:|

5.

Is the relationship shown by the data linear? If so, model the data with an equation.

A. The relationship is linear; y + 7= 1/2(x - 5).
B. The relationship is linear; y - 5= -1/2(x + 7).
C. The relationship is not linear.
D. The relationship is linear; y – 5 = 2(x + 7).

Answers

Answer:

D. The relationship is linear; y – 5 = 2(x + 7).

Step-by-step explanation:

The correct answer is:

The relationship is linear, and the equation is  

y-5 = 2(x+7).

Explanation:

To determine if the relationship is linear, we find the slope between each pair of points.  Slope is given by the formula:

The slope between the first two points is given by:

The slope between the second pair of points is given by:

The slope between the third pair of points is given by:

Since the slope is the same throughout the data, the relationship is linear and the slope is 2.

To write the equation, we use point-slope form, which is:

y-y₁ = m(x-x₁)

Using the first point, we have:

y-5 = 2(x--7)

y-5 = 2(x+7)

The answer is The relationship is linear; y - 5 = 2(x + 7).

Please answer number 19 please I beg you!

Answers

Answer:

147,000,000

Step-by-step explanation:

152,000,000+147,000,000=299,000,000

Step-by-step explanation:

299,000,000-152,000,000=Male

Male=147,000,000

=1.47×10'8

A special is going on at the movies. You pay a flat fee $10 to watch movies all day and then $3

Answers

Answer:

1: C=3b+10

2:

x = the number of candy bars purchased

3 = the amount spent on soft drinks

8x = number of candy bars

18 = total amount spent

Step-by-step explanation:

The legs of a right triangle are equal. Given the length of the legs, find the length of the hypotenuse. Round to the nearest tenth.

1. 5 cm
2. 2 cm
3. 10 in.
4. 12 m

Answers

Answer:

C

Step-by-step explanation

10 inches

Math lab work.
For tomorrow!

Answers

Rate as BRAINLIEST, if any doubt ask.

7.) -2

8.) 2

9.) -21

10.) 28

11.) -6

12.) 27

13.) -22

14.)-23

15.)-28

16.) 13

17.) 28

18.) 25

19.) >

20.) <

Which of the following represents the range of the graph below?
X<0
All real numbers
X>0
Y>0

Answers

Answer:

D. y > 0

Step-by-step explanation:

The graph is contained in the second quadrant so the y- values are between zero and positive infinity:

y ∈ (0, + ∞)

Correct choice is D

The function lies in 2nd quadrant in XY plane

We know

in 2nd quadrant value of y is positive.

Or

[tex]\\ \sf\longmapsto R_f>0[/tex]

[tex]\\ \sf\longmapsto y>0[/tex]

Option C is correct

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