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2 years ago

Please help it’s geometry will mark brainliest!

Mathematics

1 answer:

Dima020 [189]2 years ago

5 0

Answer:

its 216

Step-by-step explanation:

when it's one the edge the arc is double the angle

You might be interested in

Write a recursive rule: <br><br>-2,0,2,4,6

bearhunter [10]

Write a recursive rule for the sequence.

-2,0,2,4,6

STEP 1:

a1 = -2

a2 = 0

a3 = 2

STEP 2:

d = a2-(a1)=a3

= d = 0-(-2)=2

STEP 3:

An = a+(n-1)d

ANS:

6 0

2 years ago

(5) Find the Laplace transform of the following time functions: (a) f(t) = 20.5 + 10t + t 2 + δ(t), where δ(t) is the unit impul

Aloiza [94]

Answer

(a) $F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}$

(b) $F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}$

Step-by-step explanation:

(a) $f(t) = 20.5 + 10t + t^2 +$ δ(t)

where δ(t) = unit impulse function

The Laplace transform of function f(t) is given as:

$F(s) = \int\limits^a_0 f(s)e^{-st} \, dt$

where a = ∞

=> $F(s) = \int\limits^a_0 {(20.5 + 10t + t^2 + d(t))e^{-st} \, dt$

where d(t) = δ(t)

=> $F(s) = \int\limits^a_0 {(20.5e^{-st} + 10te^{-st} + t^2e^{-st} + d(t)e^{-st}) \, dt$

Integrating, we have:

=> $F(s) = (20.5\frac{e^{-st}}{s} - 10\frac{(t + 1)e^{-st}}{s^2} - \frac{(st(st + 2) + 2)e^{-st}}{s^3} )\left \{ {{a} \atop {0}} \right.$

Inputting the boundary conditions t = a = ∞, t = 0:

$F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}$

(b) $f(t) = e^{-t} + 4e^{-4t} + te^{-3t}$

The Laplace transform of function f(t) is given as:

$F(s) = \int\limits^a_0 (e^{-t} + 4e^{-4t} + te^{-3t} )e^{-st} \, dt$

$F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt$

$F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt$

Integrating, we have:

$F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.$

Inputting the boundary condition, t = a = ∞, t = 0:

$F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}$

3 0

3 years ago

5d-8=1+5d solve the equation. Determine whether the equation has one solution, no solution, or infinetly many solutions.

IrinaK [193]

Answer:

no solution

Step-by-step explanation:

5d - 8 = 1 + 5d

Add 9 to both sides

5d = 9 + 5d

Subtract 5d

0 does not equal 9

No solutions

5 0

3 years ago

Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days?

mylen [45]

18/2=x/30
2x = 18 x 30
2x = 540
x = 270

5 0

3 years ago

Answer the Question below (45 points)

iren [92.7K]

3x-5=-6x+13 : Given

3x=-6x+18 : Addition property of Equality

9x=18: Subtraction property of Equality

x=2: Division Property of Equality

Step-by-step explanation:

We need to give justification to each step

Step 1:

3x-5=-6x+13

This is the question given, which we need to solve and find value of x.

Justification: Given

Step 2:

Adding 5 on both sides of the equation using addition property of equality.

3x-5+5=-6x+13+5

Simplifying

3x=-6x+18

Justification: Addition property of Equality

Step 3:

Adding 6x on both sides of the equation

3x+6x=-6x+18+6x

9x=18

Justification: Subtraction property of Equality

Step 4:

Divide both sides of the equation by 9, to find the value of x using division property of equality

9x/9=18/9

x=2

Justification: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

8 0

3 years ago