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
Strike441 [17]
3 years ago
13

A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the length. Find the area, taking

into account significant figures. (a) 6.783 0 x 10^3 m^2 (b) 6.783 x 10^3 m^2 (c) 6.78 x 10^3 m^2 (d) 6.8 x 10^3 m^2 (e) 7 x 10^3 m^2
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer: (d). Area = 6.8 × 10^3 m^2 (to 2 significant figure)

Step-by-step explanation:

The area to find rectangular is:

Area = length × breadth

Area = 32.30 × 210

Area = 6783 m^2

Area = 6.8 × 10^3 m^2 (to 2 significant figure)

You might be interested in
Multiplying Integers 2.2 <br>-6.(-6) • (-6)​
Kamila [148]

Answer:

−475.2

hope this helps B) hope we can be friends UvU

Step-by-step explanation:

3 0
3 years ago
Please help me out with this :)
yan [13]

Answer:

y = x - 5

Step-by-step explanation:

Given the equation

y = x + ?

We are being asked what value is added to x to give y

Consider the table, that is

x = 1 → y = - 4

x = 2 → y = - 3

x = 3 → y = - 2

x = 4 → y = - 1

x = 5 → y = 0

x = 6 → y = 1

In each case 5 is being subtracted from x to obtain y, that is

y = x - 5 ← equation relating x and y

6 0
3 years ago
Read 2 more answers
In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the
horrorfan [7]

We can use ratios and the cross-multiply-divide to find this.



The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.



21/5 = x/100



We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

7 0
3 years ago
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
rosijanka [135]

Answer:

4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Step-by-step explanation:

o and p are supplementary angles, and therefore add up to 180 degrees.

5 0
3 years ago
Solve the following differential equation using using characteristic equation using Laplace Transform i. ii y" +y sin 2t, y(0) 2
kifflom [539]

Answer:

The solution of the differential equation is y(t)= - \frac{1}{3} Sin(2t)+2 Cos(t)+\frac{5}{3} Sin(t)

Step-by-step explanation:

The differential equation is given by: y" + y = Sin(2t)

<u>i) Using characteristic equation:</u>

The characteristic equation method assumes that y(t)=e^{rt}, where "r" is a constant.

We find the solution of the homogeneus differential equation:

y" + y = 0

y'=re^{rt}

y"=r^{2}e^{rt}

r^{2}e^{rt}+e^{rt}=0

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

As e^{rt} could never be zero, the term (r²+1) must be zero:

(r²+1)=0

r=±i

The solution of the homogeneus differential equation is:

y(t)_{h}=c_{1}e^{it}+c_{2}e^{-it}

Using Euler's formula:

y(t)_{h}=c_{1}[Sin(t)+iCos(t)]+c_{2}[Sin(t)-iCos(t)]

y(t)_{h}=(c_{1}+c_{2})Sin(t)+(c_{1}-c_{2})iCos(t)

y(t)_{h}=C_{1}Sin(t)+C_{2}Cos(t)

The particular solution of the differential equation is given by:

y(t)_{p}=ASin(2t)+BCos(2t)

y'(t)_{p}=2ACos(2t)-2BSin(2t)

y''(t)_{p}=-4ASin(2t)-4BCos(2t)

So we use these derivatives in the differential equation:

-4ASin(2t)-4BCos(2t)+ASin(2t)+BCos(2t)=Sin(2t)

-3ASin(2t)-3BCos(2t)=Sin(2t)

As there is not a term for Cos(2t), B is equal to 0.

So the value A=-1/3

The solution is the sum of the particular function and the homogeneous function:

y(t)= - \frac{1}{3} Sin(2t) + C_{1} Sin(t) + C_{2} Cos(t)

Using the initial conditions we can check that C1=5/3 and C2=2

<u>ii) Using Laplace Transform:</u>

To solve the differential equation we use the Laplace transformation in both members:

ℒ[y" + y]=ℒ[Sin(2t)]

ℒ[y"]+ℒ[y]=ℒ[Sin(2t)]  

By using the Table of Laplace Transform we get:

ℒ[y"]=s²·ℒ[y]-s·y(0)-y'(0)=s²·Y(s) -2s-1

ℒ[y]=Y(s)

ℒ[Sin(2t)]=\frac{2}{(s^{2}+4)}

We replace the previous data in the equation:

s²·Y(s) -2s-1+Y(s) =\frac{2}{(s^{2}+4)}

(s²+1)·Y(s)-2s-1=\frac{2}{(s^{2}+4)}

(s²+1)·Y(s)=\frac{2}{(s^{2}+4)}+2s+1=\frac{2+2s(s^{2}+4)+s^{2}+4}{(s^{2}+4)}

Y(s)=\frac{2+2s(s^{2}+4)+s^{2}+4}{(s^{2}+4)(s^{2}+1)}

Y(s)=\frac{2s^{3}+s^{2}+8s+6}{(s^{2}+4)(s^{2}+1)}

Using partial franction method:

\frac{2s^{3}+s^{2}+8s+6}{(s^{2}+4)(s^{2}+1)}=\frac{As+B}{s^{2}+4} +\frac{Cs+D}{s^{2}+1}

2s^{3}+s^{2}+8s+6=(As+B)(s²+1)+(Cs+D)(s²+4)

2s^{3}+s^{2}+8s+6=s³(A+C)+s²(B+D)+s(A+4C)+(B+4D)

We solve the equation system:

A+C=2

B+D=1

A+4C=8

B+4D=6

The solutions are:

A=0 ; B= -2/3 ; C=2 ; D=5/3

So,

Y(s)=\frac{-\frac{2}{3} }{s^{2}+4} +\frac{2s+\frac{5}{3} }{s^{2}+1}

Y(s)=-\frac{1}{3} \frac{2}{s^{2}+4} +2\frac{s }{s^{2}+1}+\frac{5}{3}\frac{1}{s^{2}+1}

By using the inverse of the Laplace transform:

ℒ⁻¹[Y(s)]=ℒ⁻¹[-\frac{1}{3} \frac{2}{s^{2}+4}]-ℒ⁻¹[2\frac{s }{s^{2}+1}]+ℒ⁻¹[\frac{5}{3}\frac{1}{s^{2}+1}]

y(t)= - \frac{1}{3} Sin(2t)+2 Cos(t)+\frac{5}{3} Sin(t)

3 0
3 years ago
Other questions:
  • He graph shown represents the funds in Sasha's checking account for 16 days.
    10·2 answers
  • 5x + 5x + 2 + 6 equals 6x + 4 + 3x<br><br>plz show steps I will give you a thankyou​
    13·2 answers
  • 30.00 for a dozen regular cupcake
    10·1 answer
  • For every $5 that Micah saves, his parents give him $10. If Micah saves $150, how much money will his parents give him?
    12·2 answers
  • These are the values in Min-Su’s data set.
    14·1 answer
  • The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a
    13·1 answer
  • GIVING BRAINLY ITS JUST SURFACE AREA PLEASE ANSWER!!!!!
    15·2 answers
  • The formula for computing compound interest for a principal P that is invested at an annual rate r and compounded annually is gi
    8·1 answer
  • What is 5 x 1284<br> plz answer thanks
    10·2 answers
  • HELP HELP HELP<br> HELP HELP HELP<br> HELP HELP HELP
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!