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Anon25 [30]
2 years ago
11

The perimeter please help

Mathematics
2 answers:
ycow [4]2 years ago
7 0

Answer:I believe it is d

Step-by-step explanation:

ollegr [7]2 years ago
5 0

Answer:

the answer is 2/3 (E)

Step-by-step explanation:

36 divided by 18 = 2

54 divided by 18 = 2

You might be interested in
Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a de
Ganezh [65]

Answer:

a. \mathbf{Y(s) = L \{y(t)\} = \dfrac{7}{s(s+1)}+ \dfrac{e^{-3s}}{s+1}}

b. \mathbf{y(t) = \{7e^t + e^3 u (t-3)-7\}e^{-t}}

Step-by-step explanation:

The initial value problem is given as:

y' +y = 7+\delta (t-3) \\ \\ y(0)=0

Applying  laplace transformation on the expression y' +y = 7+\delta (t-3)

to get  L[{y+y'} ]= L[{7 + \delta (t-3)}]

l\{y' \} + L \{y\} = L \{7\} + L \{ \delta (t-3\} \\ \\ sY(s) -y(0) +Y(s) = \dfrac{7}{s}+ e ^{-3s} \\ \\ (s+1) Y(s) -0 = \dfrac{7}{s}+ e^{-3s} \\ \\ \mathbf{Y(s) = L \{y(t)\} = \dfrac{7}{s(s+1)}+ \dfrac{e^{-3s}}{s+1}}

Taking inverse of Laplace transformation

y(t) = 7 L^{-1} [ \dfrac{1}{(s+1)}] + L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{(s+1)-s}{s(s+1)}] +L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{1}{s}-\dfrac{1}{s+1}] + L^{-1}[\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7 [1-e^{-t} ] + L^{-1} [\dfrac{e^{-3s}}{s+1}]

L^{-1}[\dfrac{e^{-3s}}{s+1}]

L^{-1}[\dfrac{1}{s+1}] = e^{-t}  = f(t) \ then \ by \ second \ shifting \ theorem;

L^{-1}[\dfrac{e^{-3s}}{s+1}] = \left \{ {{f(t-3) \ \ \ t>3} \atop {0 \ \ \ \ \ \  \ \  \ t

L^{-1}[\dfrac{e^{-3s}}{s+1}] = \left \{ {{e^{(-t-3)} \ \ \ t>3} \atop {0 \ \ \ \ \ \  \ \  \ t

= e^{-t-3} \left \{ {{1 \ \ \ \ \  t>3} \atop {0 \ \ \ \ \  t

= e^{-(t-3)} u (t-3)

Recall that:

y(t) = 7 [1-e^{-t} ] + L^{-1} [\dfrac{e^{-3s}}{s+1}]

Then

y(t) = 7 -7e^{-t}  +e^{-(t-3)} u (t-3)

y(t) = 7 -7e^{-t}  +e^{-t} e^{-3} u (t-3)

\mathbf{y(t) = \{7e^t + e^3 u (t-3)-7\}e^{-t}}

3 0
3 years ago
A construction crew has just finished building a road. The crew worked for 4 2/7 days. If the road is 9 kilometers long, how man
Lana71 [14]
4 2/7 equals 30/7
30/7 divided by 9 equals 10/21
So the crew built 10/21 of a km everyday
4 0
3 years ago
Read 2 more answers
I need help with this question
Nastasia [14]

Answer:

120 cm³

Step-by-step explanation:

V = (1/3)×base area×height

  = (1÷3)×(4×9)×10

  =120

8 0
3 years ago
Please, help thanks!<br> I would like an explanation how to do it too, IF you dont mind.
Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

<em>So, what do we know?</em>

Well we know the following information...

<em>p + a + o = 270</em>

(Phoebe + Andy + Polly = £270)

<em>p = 3a</em>

(Phoebe = 3 times more than Andy)

<em>a = 2o</em>

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.<em>The only one we can use is "o" for Polly!</em>

<em></em>

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. <em>(To do this we will input our value, 30, where our variable is "o")</em>

<em></em>

<u>Andy</u>

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

<em>(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)</em>

<u>Phoebe</u>

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

<em></em>

4 0
2 years ago
A. 2 cm<br>B. 2√2 cm<br>C. 4 cm<br>D. 4√2 cm​
algol [13]

Answer:

.D. 4√2 cm

Step-by-step explanation:

With reference angle 45°

base (b) = 4 cm

hypotenuse (h) = AC

Now

Cos 45° = b /h

1/√2 = 4 / AC

AC = 4√2 cm

3 0
2 years ago
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