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
Paraphin [41]
2 years ago
13

Ariana Grande put her 7 rings in a rectangular plate that had an area of 54 square inches. If the length of the is 12 inches, wh

at is the width?
Mathematics
2 answers:
zimovet [89]2 years ago
8 0

Answer:

4.5

Step-by-step explanation:

12x=54 x=4.5

4.5×12=54

weqwewe [10]2 years ago
6 0

Answer:

4 1/2 inches

Step-by-step explanation:

if you have an area of 54 square inches. Then you divide 54 by 12 and get 4 and 1/2 square inches

You might be interested in
a meat pie contains chicken and turkey in the ratio 4:1. The pie contains 200g of Chicken. How much turkey is in the pie?​
kogti [31]

Answer:

50 grams

Step-by-step explanation:

From the above question:

Chicken : Turkey

= 4:1

Sum Proportions = 4 + 1 = 5

We have to find the weight in grams of the entire pie

Let us represent the weight in grams of the entire pie = x.

The pie contains 200g of Chicken.

Hence:

4/5 × x = 200g

4x/5 = 200g

Cross Multiply

4x = 200g × 5

x = 200g × 5/4

x = 250g

The amount turkey that is in the pie is calculated as:

Total weight of pie - Amount of Chicken in the pie

= 250g - 200g

= 50 g

3 0
2 years ago
PLEASE HELP! I don’t understand
denpristay [2]

Answer:

(-1,0) and (5,0)

Step-by-step explanation:

The roots are the points where the y-value is 0 and the point lies exactly on the x-axis.

(blank,0)

In this parabola, the points that are exactly on the x-axis is (-1,0) and (5,0)

4 0
3 years ago
WILL CHOOSE BRAINLIEST
algol [13]

Answer:

This is the answer if any problem just ask me

4 0
2 years ago
Paisley's car used 11 gallons to travel 374 miles. How many gallons of gas would she need to travel 442 miles?
katen-ka-za [31]

Answer:

13 gallons

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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:
  • How do you write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1,1)
    10·2 answers
  • Next three numbers in the pattern 6000, 6003, 6009, 6018, 6030, 6045
    6·2 answers
  • The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
    5·1 answer
  • Simply 9+3(8-3(7-5))-4
    6·1 answer
  • Find the sum of the infinite geometric series, if it exists.
    11·1 answer
  • A bag contains five ping-pong balls numbered 1 to 5. Two balls are removed to form a two digit number. The smallest possible num
    6·1 answer
  • The radius of a circle is 8 feet. What is the circle's area?<br> Use 3.14 for ​.
    13·2 answers
  • Answer for brainlest and 10 points
    8·2 answers
  • Which expressions are equivalent to (1/3x + 2x - 5/3x) - (-1/3x + 5)​
    5·2 answers
  • What is the common ratio for the geometric sequence?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!