This picture shows a rectangle with length (3D+2)cm and width (d+5)cm.
————
| |
| |
| |3d+2
| |
| |
————
D+5

A) write an expression for the perimeter of the rectangle

B) given that the perimeter is 30cm, make and solve and equation for d.

C) find the area of this rectangle



This Picture Shows A Rectangle With Length (3D+2)cm And Width (d+5)cm. | || || |3d+2| || | D+5A) Write

Answers

Answer 1

9514 1404 393

Answer:

  A)  P = 8d +14

  B)  d = 2

  C)  56 cm^2

Step-by-step explanation:

A) The perimeter is the sum of all of the side lengths.

  P = 2(L +W)

  P = 2((3d +2) +(d +5)) = 2(4d +7)

  P = 8d +14

__

B) Using 30 for P, we have ...

  30 = 8d +14

  16 = 8d . . . . . . . subtract 14

  2 = d . . . . . . . . . divide by 8

__

C) The side lengths are ...

  3d +2 = 3(2) +2 = 8 . . . . cm

  d+5 = 2+5 = 7 . . . . cm

Then the area is ...

  A = LW

  A = (8 cm)(7 cm) = 56 cm^2

The area of the rectangle is 56 square centimeters.


Related Questions

The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are [tex]\frac{1}{2x + 1 }[/tex]    and [tex]\frac{1}{2x + 3 }[/tex]

[tex]\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\[/tex]

483*(4x+4) = 44*(4x² + 8x + 3)

483*4x + 483*4 = 44*4x² + 44*8x  + 44*3

1932x + 1932 = 176x² + 352x + 132

176x² + 352x + 132 -1932x - 1932 = 0      

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

Divide the equation by 4

44x² - 395x - 450 = 0

Find the surface area and volume for each pyramid

Answers

Answer:

the answer is 95.2

plz give brainliest

Answer:

volume = 4468.8 m3

surface area = 2021.6 m2

since the triangle is
a.right
b.isosceles
c.equilateral​

Answers

Step-by-step explanation:

plz write full question

Answer:

I need a more information

Step-by-step explanation:

Peyton is going to invest $71,000 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Peyton to end up with $106,000?

Answers

Answer:

2.23

Step-by-step explanation:

am I correct and do I write a=-2 or negative,2 will be better​

Answers

Answer: a=-2 is better

Step-by-step explanation:

you should write a=-2

PLESE HELP ME! WILL GIVE BRAINLIEST!
Find the area of the shaded regions.

Answers

Answer:

[tex]A=41.86 cm^{2}[/tex]

Step-by-step explanation:

The area of the shaded regions= [tex]\frac{0}{360}* \pi [(4)^{2}-(3)^{2}][/tex]

[tex]=\frac{120}{360} *3.14*(10)(4)\\[/tex]

[tex]=\frac{3.14*10*4}{3}[/tex]

[tex]A=41.86 cm^{2}[/tex]

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

hope it helps...

have a great day!!

simplify the following. ​

Answers

Answer:

19 /64

Step-by-step explanation:

Multiply whole numbers to get rid of the fractions

Then cancel the common factor.

-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of the expression?

Answers

Answer: =−3/5

Step-by-step explanation: Hope this help :D

which set of numbers can represent lengths of the sides of a triangle? A. 1,3,4 B. 3,5,8 C.4,4,9 D. 5,7,9

Answers

Answer:

c

Step-by-step explanation:

4 4 9

sum of 2 sides of a triangle should be greater than the third side.

D 5,7,9

1+3=4 so it can’t be A
3+5=8 so it can’t be B
4+4=8 so it can’t be C
5+7=12 which is greater than 9

help me outttt, thank you so much whoever does :))

Answers

12.59

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Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).

Answers

Answer:

0.068% or 6.8% this will be your final answer

What is 28/20 simplified? And what is 20/28 simplified

Answers

Answer:

Step-by-step explanation:

What is 28/20 Simplified? -

7/5 is the simplified fraction for 28/20.

5/7 is the simplified fraction for 20/28

Answer:

28/20 would be 14/10 which would be 1 and 4/10.

20/28 would be 10/14 which would be 5/7

Step-by-step explanation:

you just cut it in half until you can't anymore.

PLS HELPP!!!!
Find f(-5) if f(x)=|x+1|
a.6
b.5
c.4

Answers

The answer is 4 because, -5+1 is -4 then the absolute value of -4 is 4. Hope this helps

A rectangle has side measurements of 12 units and 8 units. What is the approximate measure of a diagonal that cuts through the rectangle?

Answers

Answer:

14.4

Step-by-step explanation:

pythagorean theorem

Mrs. Long keeps a garden in her backyard. The garden is in the shape of a rectangle. The garden is 27 feet wide. If the perimeter of the garden is 200 feet, what is the length of Mrs. Long’s garden

Answers

Answer:

so Area = length x width

Area = 450,  width = 9

450 = 9 x length

divide 450 by 9, and you have the length.

Perimeter = length + length+ 9 + 9

and you got your perimeter!

Step-by-step explanation:

¿es cierto que si se suman los resultados de la tabla del con los de la tabla del 5 se obtienen los resultados del 7 ¿porque

Answers

Answer:

Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.

Step-by-step explanation:

Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.

Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.


A parabola opening up or down has vertex (0, 0) and passes through (-6,-9).
Write its equation in vertex form.
Simplify any fractions

Answers

Answer:

the formula is 1.5x^2

Step-by-step explanation:

Since the vertex is 0,0 h and k are both 0

then you plug in the -6 and -9 to the equation

a(-6)=-9

3/2(x)^2

hope that answers your question

For a biology assignment, Christopher records the height of a plant
over time. The plant was 18 cm tall when he started the assignment. He
notices that the plant grows 4 cm every week.
I need it now!!

Answers

What is your question???

find the total surface area of the following square pyramid

Answers

Answer:

 area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

uh can someone help me with this please I'm confused ughhh I missed school for two weeks and dk how to do this​

Answers

Answer:

35

Step-by-step explanation:

Top box equals 10

(5x2)

Middle box equals 15

(5-2+2) x 3

Bottom box equals 10

(5x2)

Answer:

35 in sq.

Step-by-step explanation:

Find the area of each rectangle and add them together.

Area of a rectangle = length*height

Top rectangle: This one is easy. Length=2 Width=5

5*2=10

Middle rectangle: There's a missing segment in the width but we can find it. Notice the bottom rectangle's width includes the missing segment + 2 (look at the top rectangle). 5-2 is 3. Add the 2 of the known segment to the 3 of the previously unknown segment.

Length=3 Width=5

5*3=15

Bottom rectangle: This one is also easy. Length=2 Width=5

2*5=10

10+15+10=35 in sq.

A small box can hold 5 chocolates and a big box can hold 12 chocolates. A factory produces 600 chocolates and packs them into boxes.

A. Write and equation to describe the situation.

B. If the factory owner uses 40 big boxes, how many small boxes does he use?

Answers

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

5 x 4 = 20

I need help with this question ( see image). Please show workings.​

Answers

Answer:

Percentage of the garden that is used to make the pond = 53.8%

Step-by-step explanation:

Area of a garden = 104 m^2

Area of a garden = 104 m^2Area of a pond = 56 m^2

Percentage of the garden that is used to make the pond

= (56/104) × 100%

= 53.8%

Hope this Helps!!!

Find the area of each composite figure.
Round to the nearest TENTH if necessary.

Answers

Answer:

Step-by-step explanation:

You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats. Soccer Cleats cost: $36.00

Answers

Answer:

You would need 48

Step-by-step explanation:

divide 36.00/0.75

I lhes New Roman
16px
1.5pt • BI U SA A
X X2
6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?

Answers

Answer:

No,the pizza will not fit in the box

Step-by-step explanation:

Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box

to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²

300 = 3.142 × r²

[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inches

what percent is 25 is 4 plz help

Answers

Answer: 16%

Step-by-step explanation:

4:25*100 =  

(4*100):25 =  

400:25 = 16

If 10 sandwiches cost $36.20, how much will 7 sandwiches cost?

Answers

Answer is 25.34

You just have to divide 36.20 by 10 which is 3.62 and then you multiply 7

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that ap...

Answers

Answer:

a quadratic equation has no real number solutions than the discriminant is less than zero  

D < 0  

(b^2 -4ac) < 0  

(9 -4(-1*c) < 0

(9+4c) < 0

4c < -9

c < -9/4

hope this will help you

Step-by-step explanation:

Can someone help me with this problem

Answers

Angle B is 79 because of reflective property (however you spell it)

8.88 = 4.44(x-7)

Solve for x

Show or explain your method

Answers

Answer:

x=9

Step-by-step explanation:

8.88=4.44x-31.088.88-4.44x=-31.08-4.44x=-31.08-8.88-4.44x=-39.96x=9(we divided both rquations by -4.44)
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