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natulia [17]
2 years ago
7

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i

s 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103
Mathematics
1 answer:
harina [27]2 years ago
3 0

Answer:

77

Step-by-step explanation:

i took the test

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denpristay [2]

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Step-by-step explanation

5 0
3 years ago
The area of circles
Alex73 [517]

Answer:

Formula for the area of a circle;

<h2>A = πr^{2}</h2>

Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.

Plug in the radius into this formula:-

A = πr^{2}

  • <em>Note: I will be using 3.14 as pi(π).</em>

A = 3.14(4^2)

A = 3.14(16)

A = <u>50.24 centimetres</u> is the area for this circle.

7 0
2 years ago
Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.
ratelena [41]

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: u_{x x}+u_{y y}=0

  • We must determine whether a given function is the solution to a given Laplace equation.
  • If a function is a solution to a given Laplace's equation, it satisfies the solution.

(1) u=e^{-x} \cos y-e^{-y} \cos x

Differentiate with respect to x as follows:

u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x

Differentiate with respect to y as follows:

u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x

Supplement the values in the given Laplace equation.

e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0

The given function in this case is the solution to the given Laplace equation.

(2) u=\sin x \cosh y+\cos x \sinh y

Differentiate with respect to x as follows:

u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y

Differentiate with respect to y as follows:

u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y

Substitute the values to obtain:

-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

brainly.com/question/14040033

#SPJ4

The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

6 0
2 years ago
On a road trip you drove 280 miles in 4 hours. a) What is your speed in miles per hour? b) Use your equation to determine how fa
frozen [14]

Answer:

a. 70 miles per hour

b. 840 miles

Step-by-step explanation:

280/4 = 70 miles per hour

70*12 = 840 miles

5 0
3 years ago
Read 2 more answers
What is the solution to the inequality n-6≥-2​
trapecia [35]

Answer:

N> or equal to 4

Step-by-step explanation:

subtract 6 from -2 which is 4 then you divide by N which is 1.

8 0
2 years ago
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