1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xz_007 [3.2K]
3 years ago
7

Alex has a small notebook that is shaped like a rectangle. She knows one side is 6 cm and another side is 4 cm. Explain how to f

ind the distance around the notebook without using a ruler.
Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Answer : The distance around the notebook is, 20 cm

Step-by-step explanation :

Given:

Length of rectangle = 6 cm

Breadth of rectangle = 4 cm

As we know that perimeter (distance) is the sum of all side of a given figure.

As there are 4 sides of rectangle.

Perimeter of rectangle = 2(Length + Breadth)

Perimeter of rectangle = 2(6 cm + 4 cm)

Perimeter of rectangle = 2(10 cm)

Perimeter of rectangle = 20 cm

Therefore, the distance around the notebook is, 20 cm

brilliants [131]3 years ago
5 0
6+6+4+4
Add all of the side lengths together.
You might be interested in
The length of a room is 4 feet less than twice its width. The perimeter of
AlladinOne [14]

L=2W-4

PERIMETER=2L+2W

58=2(2W-4)+2W

58=4W-8+2W

58=6W-8

6W=58+8

6W=66

W=66/6

W=11 ANS. FOR THE WIDTH.

L=2*11-4

L=22-4

L=18 ANS. FOR THE LENGTH.

PROOF:

58=2*18=2*11

58=36+22

58=58

5 0
3 years ago
Fernando has a bag of beads in five different colors: purple, blue, green, green, orange, and gray. The table below shows the re
zavuch27 [327]

Answer: 6

Step-by-step explanation:

6 0
3 years ago
In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0
3 years ago
Ving tomation.
jek_recluse [69]
Man i don’t know
i really donttt
3 0
3 years ago
Y''+y'+y=0, y(0)=1, y'(0)=0
mars1129 [50]

Answer:

y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+\frac{1}{\sqrt{3}}\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

Step-by-step explanation:

A second order linear , homogeneous ordinary differential equation has form ay''+by'+cy=0.

Given: y''+y'+y=0

Let y=e^{rt} be it's solution.

We get,

\left ( r^2+r+1 \right )e^{rt}=0

Since e^{rt}\neq 0, r^2+r+1=0

{ we know that for equation ax^2+bx+c=0, roots are of form x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} }

We get,

y=\frac{-1\pm \sqrt{1^2-4}}{2}=\frac{-1\pm \sqrt{3}i}{2}

For two complex roots r_1=\alpha +i\beta \,,\,r_2=\alpha -i\beta, the general solution is of form y=e^{\alpha t}\left ( c_1\cos \beta t+c_2\sin \beta t \right )

i.e y=e^{\frac{-t}{2}}\left ( c_1\cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

Applying conditions y(0)=1 on e^{\frac{-t}{2}}\left ( c_1\cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right ), c_1=1

So, equation becomes y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

On differentiating with respect to t, we get

y'=\frac{-1}{2}e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )+e^{\frac{-t}{2}}\left ( \frac{-\sqrt{3}}{2} \sin \left ( \frac{\sqrt{3}t}{2} \right )+c_2\frac{\sqrt{3}}{2}\cos\left ( \frac{\sqrt{3}t}{2} \right )\right )

Applying condition: y'(0)=0, we get 0=\frac{-1}{2}+\frac{\sqrt{3}}{2}c_2\Rightarrow c_2=\frac{1}{\sqrt{3}}

Therefore,

y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+\frac{1}{\sqrt{3}}\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

3 0
3 years ago
Other questions:
  • Tim answered all queston on is math test but got 10 answers wrong. He received 4 points for every corect answer, and there was n
    14·1 answer
  • Any help if possible Thank you ❤
    7·2 answers
  • Solve for x 2cos^2x-3cosx+1=0
    5·1 answer
  • jenny is comparing the cost of two packages of socks. one package has 8 pairs for $12. Another package has 3 for $6. Are the rat
    5·1 answer
  • Anyone know how to do this thanks
    15·1 answer
  • Simplify (3/4ab^7)^3
    8·2 answers
  • A museum worker randomly displays 8 historical writings in a row. What is the probability that the worker lines them up from the
    14·2 answers
  • At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. Th
    15·1 answer
  • Write the fraction equivalent of each decimal 36.90
    14·1 answer
  • Hi, can someone help me with this?<br><br> Solve the system of equations: <br> Y= 2x-4 <br> X= y+1
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!