The diagram shows a rectangle with length
2)
(3d + 2) am 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 30 cm, make and
solve an equation to find a
c Find the area of this rectangle
M

The Diagram Shows A Rectangle With Length2)(3d + 2) Am And Width (d+5) Cm.3d+2d+5a Write An Expression

Answers

Answer 1

Step-by-step explanation:

Given that,

Length, l = (3d+2) m

Width, b = (d+5) m

(a) Perimeter of the rectangle,

P = 2(l+b)

P = 2(3d+2+d+5)

= 2(4d+7)

P = 8d+14

(b) If P = 30 cm.

8d+14 = 30

8d = 16

d = 2

(c) l = (3(2)+2) = 8 m

b = (2+5) = 7 m

The area of this rectangle,

A = lb

A = 8×7

A = 56 cm²

Hence, this is the required solution.


Related Questions

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

¿Cuáles son las famosas razones trigonométricas y sus inversas?

Answers

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

Adealer gained a 10% profit by selling an article for birr 330.00 .What was the original price of the article

Answers

Answer:

$297

Step-by-step explanation:

Given data

Percent profit=10%

sales price= $330

% profit= (sales price-cost price)/sales price* 100

let the cost price be x

Substitute

10= (330-x)/330* 100

cross multiply

10= (33000-100x)/330

10*330= 33000-100x

3300=33000-100x

3300-33000=-100x

-29700=-100x

29700=100x

x=29700/100

x=297

Hence the cost price is

cost price=$297

A swimming pool is in the shape of a right triangle. One leg has a length of 15 feet and the hypotenuse is √325 feet. Estimate the length of the other leg. Round to the nearest integer, if necessary

Answers

Answer:

10 feet

Step-by-step explanation:

a^2+b^2=c^2

15^2+B^2=365

225+b^2=365

b^2=100

b=10

can someone help me please?

Answers

9 or 8 but I’m pretty sure it’s 9km

3. There are 6645 students at Tech Middle School, and
20% of the stredents are 7th graders.
How
many
Students are 7th graders?

Answers

Answer:

.20

Step-by-step explanation:

The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).

Answer:

1329 students

Step-by-step explanation:

20/100 ×6645

Reduce the fraction 20/100 with 20

So..20 goes into 20 1 time and 20 into 100 5 times

1/5×6645

Use 5 as the greatest common factor now

so...5 into 5 goes 1 time and 5 into 6645 goes 1329

1/1 × 1329 = 1329

Or... you could just convert 20% into a decimal by carring the . two places to the left

which is 0.2

0.2 × 6645 = 1329

Can someone please help me with this​

Answers

Answer:

[tex]2x^2+x+7y[/tex]

Step-by-step explanation:

We are given the equation [tex]2(x^2+3y)+x+y[/tex] and are asked to simplify it.

To do so, we need to first get rid of the parenthesis, since x² and 3y aren't like terms, it isn't solvable unless we try another way, which is the distributive property.

2 is next to the parenthesis, in the distributive property, we would multiply the number outside of the parenthesis with all the numbers inside the parenthesis. Therefore :

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

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

Now that we have like terms, we can add them together :

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

[tex]2x^2 + x+7y[/tex]

Answer:

Hello! Your answer would be, 2[tex]x^{2}[/tex] + [tex]x[/tex] [tex]7y[/tex]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

Hey can yall help me
what's 9+10+2=

Answers

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-

5. THINK SMARTER There are 246 children at
Debbie's school. There are 328 children
at Jacob's school. Without adding, explain
how you could estimate the number of
children at the two schools.

Answers

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.

Answers

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

What was his mistake????

Answers

he didn't distribute 1/3 to x and 15 before solving

Whats the área and circumference of a circle if the radius is 6in?

Answers

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps

Last year, Nicholas started babysitting to earn extra spending money. Over the summer, he tracked how much money he earned at each babysitting jobThis box plot shows the results What percent of the time did Nicholas earn $25 or less?

Answers

Answer:

25%

Step-by-step explanation:

The 5 values of the given box plot are;

The minimum value = 20

The first quartile, the 25th percentile point, Q₁ = 25

The median or second quartile, the 50th percentile point, Q₂ = 30

The third quartile, the 75th percentile point, Q₃ = 40

The maximum value = 55

The range = The maximum value - The minimum value

∴ The range = 55 - 20 = 35

We note that Nicholas earned $25 or less from the minimum value up to first quartile, Q₁, which is the 25th percentile point, where we have 25 percent of the data points

Therefore, the percent of the time Nicholas earned $25 or less is 25 percent of the time.

8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.

Answers

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

Explain how to solve this.

Answers

Answer:

c=74

Step-by-step explanation:

48+58=106

180-106=74

Answer:

D is 122         A is 58          B is 48       C is 74

Step-by-step explanation:

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bikes 0.5 mile farther than she did the previous time.

A. Use summation notation to write an arithmetic series to represent the total distance Melissa has biked after she has trained n times.

B. Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What is the least number of times Melissa must bike for her total distance biked during training to exceed 60 miles? (3 points)

Answers

9514 1404 393

Answer:

  A. d = ∑[k=1,n] (4.5+0.5k)

  B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

  an = a1 +d(n -1)

  an = 5 + 0.5(n -1) . . . . substitute numbers for this series

  an = 4.5 +0.5n . . . . . . simplify

The sum is the sum of these terms:

  [tex]\displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}[/tex]

__

B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.

  [tex]\displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}[/tex]

Melissa's total distance will first exceed 60 miles the 9th time she trains.

Answer:

 A. d = ∑[k=1,n] (4.5+0.5k)

 B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

 an = a1 +d(n -1)

 an = 5 + 0.5(n -1) . . . . substitute numbers for this series

 an = 4.5 +0.5n . . . . . . simplify

For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?

Answers

K=21 hope this helps luvvvvv

PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT

Answers

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Combine these radicals
3V2-5V2

Plz help
Will give Brainlyest

Answers

Answer:

b

Step-by-step explanation:

because i said so and because i am tired and tired and tired

Answer:

[tex] - 2 \sqrt{2} [/tex]

Step-by-step explanation:

Subtract 5√2 from 3√2.

[tex] - 2 \sqrt{2} [/tex]

Hence, the answer is Option A. in decimal form the answer will be −2.82842712.

Is 4.53 a real number?
yes or no

Answers

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)

Answers

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

The function that matches the graph is y= 2 sin(1/2x) +1.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ([tex]\omega[/tex]x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

=1/2(3-1)= 2/2

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

Learn more about graph here:

https://brainly.com/question/16608196

#SPJ5

Write the following percentages as a fraction in simplest form

Answers

answer: 241/4%
hope this helped

Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?

Answers

Answer: 2/8
explanation: because 6/8 plus 2/8 = 8/8

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

could someone please help

Answers

140
The area is lengthX width so (7+7)(5+5) which is just 14 x 10

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

The volume of a sphere with radius length r is 4r3. What is the volume of a sphere with a radius length of 4?

Answers

Answer:

164 cubic units

Step-by-step explanation:

volume of a sphere = (4/3) x (n) x (r^3)

If volume = 4r^3

volume = 4 x (4)^3 = 164 cubic units

You rent an apartment that costs $1200 per month during the first year, but the rent
is set to go up 12% per year. Write a recursive formula to show what the rent is during
the nth year of living in the apartment.

Answers

Answer:

So first we have to figure out what $1200 per month for 12 months is since it was a year. 1200x12=14,400 a year which is outrageous for an apartment just saying.

Then we find out what 12% of the 1200 is and then add it to 1200.

To find the percentage of that we need to know how many times 12 fits into 100% 12 fits into 100 a total of 8.33333333333 times.

So now we divide 1200 by 8.33333333333 to see what 12% of it is.

1200 divided by 8.33333333333 is 144. So 1200+144=1344.

Now since one of the nine years has passed already we only have 8 remaining.

Now we see what 1344 a month for 12 months is 16,128 a year.

Now we multiply 16,128 by 8 to get the outcome of 8 more years. So 16,128x8=129,024

Thats it pls mark brainliest

Step-by-step explanation:

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of \dfrac{1}{15} 15 1 ​ start fraction, 1, divided by, 15, end fraction every 6.76.76, point, 7 minutes, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in minutes). Before the medicine was introduced, there were 90{,}00090,00090, comma, 000 bacteria in the Petri dish. Write a function that models the number of bacteria ttt minutes since the medicine was introduced.

Answers

Complete Question

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.

Answer:

Nt = 90,000 × e^t/15

Step-by-step explanation:

The function that models the number of bacteria t minutes since the medicine was introduced is written as

Nt = No×e^λt

Where:

No = The initial number of the bacteria after time t

Nt = The current number of the bacteria after time t

λ = Decay constant or factor

t = Time in years

From the question,

No = 90,000 bacteria

Nt = The current number of the bacteria after time t

λ = 1/15

t = Time in years

Therefore, our function is written as:

Nt = 90,000×e^1/15 × t

Nt = 90,000 × e^t/15

Answer:

90,000*(1/15)^t/6.7

Step-by-step explanation:

Khan told me it's correct.

The width of a rectangle room is 80 percent of its length. WHat is the area of the room?

Answers

Answer:

180 squared ft

Step-by-step explanation

80% = 80/100 = 40/50  =    4/5

L = 15

W= 4/5 of 15 = 12

Area = LxW

Area = 15x12 = 180 squared ft

The height of a seat on a Ferris wheel can be modeled as
H (t) = 47 sin (Fot+ 3 + 52, where tis time in seconds and h(t) is
height in feet.
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 99 feet
B. 94 feet
C. 104 feet
D. 52 feet

Answers

Answer:

Step-by-step explanation:

Its 99

I just took it

How many triangles can be made with only 60 centimeters, 100 centimeters, and 40 centimeters?

Answers

Answer: A: no triangle
Step-by-step explanation:
Because to make a triangle you have to add up all the sides and they make 180 no matter what and if you add 60,100,and 40 it will pass 180.
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