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3 years ago

I am not very good at angles please help me.

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

∠3 and ∠7 ↔ Corresponding Angles

∠2 and ∠7 ↔ Alternate Exterior Angles

∠4 and ∠5 ↔ Alternate Interior Angles

∠3 and ∠6 ↔ Alternate Interior Angles

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Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

4 0

3 years ago

I need to find the value of x for this diagram

Burka [1]

X is 50. The lengths of the radii extending out from the center to the chords are the same length, therefore, the chords are the same distance from the center and have the same measure.

8 0

2 years ago

Hilda adds 5 to a number, then multiples the sum by -2. The result is 6. Write and equation to find the number, x. What is the n

Novay_Z [31]

(x+5)*(-2) = 6

distribute

-2x -10 = 6

add 10 to each side

-2x -10 +10 = 6+10

-2x = 16

divide by -2

-2x/-2 = 16/-2

x = -8

The number is -8

3 0

2 years ago

PLEASE SOLVE, ITS REALLY EASY, AND IM ON A TIMER..... EEEEEEE

mart [117]

Answer:

What are the choices? How are we supposed to solve it? Seriously man

Step-by-step explanation:

7 0

3 years ago

4. A yellow cab Taxi charges $5.00 flat rate in addition of $0.65 per mile. Jan has no more than $20 to spend on a ride.

gogolik [260]

Answer:

$5+0.65x\le 20$

Step-by-step explanation:

Let x be the number of miles Jan can drive in a taxi.

The cost of this ride consists of

$5.00 flat rate
$.065 per mile

So, per x miles Jan will pay $0.65x and the total cost of the ride will be

$5.00+$0.65x

Jan has no more than $20 to spend on a ride, then the total cost of his ride must be less or equal to $20. Mathematically, you can write this as

$5+0.65x\le 20$

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2 years ago