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3 years ago

A cyclic quadrilateral is shown. x:y=3:7. work out the size of angle z

Mathematics

1 answer:

LekaFEV [45]3 years ago

7 0

Answer:

116 degrees

Step-by-step explanation:

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216.666 / 1- (1.0054)-120

Orlov [11]

Answer:

The answer is 95.6606

Step-by-step explanation:

8 0

3 years ago

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An equation of the form t2 d2y dt2 + αt dy dt + βy = 0, t > 0, (1) where α and β are real constants, is called an Euler equat

Aloiza [94]

Answer:

The solution to the Euler equation

t²y'' + 5ty' + 3y = 0

y = C1/t + C2/t³

Step-by-step explanation:

We are required to solve the Euler equation

t²y'' + 5ty' + 3y = 0...........................(1)

Let x = lnt............................................(2)

=> t = e^x

Let d/dx be D

dy/dt = dy/dx × dx/dt

= (1/t)dy/dx

=> tdy/dt = dy/dx = Dy.....................(3)

Again, d²y/dt² = d/dt (dy/dt) = d/dt[(1/t)dy/dx] = (-1/t²)dy/dx + (1/t)d²y/dx² × dx/dt

= (-1/t²)(d²y/dx² - dy/dx) = (1/t²)(D² - D)

t²d²y/dt² = D(D - 1)y .........................(4)

Using (3) and (4) in (1)

t²y'' + 5ty' + 3y = D(D - 1)y + 5Dy + 3y = 0

(D² - D + 5D + 3)y = 0

(D² + 4D + 3)y = 0

The auxiliary equation is

m² + 4m + 3 = 0

(m + 1)(m + 3) = 0

m = -1, -3

y = C1e^(-x) + C2e^(-3x)

But t = e^x

So,

y = C1/t + C2/t³

3 0

3 years ago

You are assigned 32 math questions for homework. You complete 87.5% of these before dinner. How many questions do you have left

Alexxx [7]

Answer:

4 questions

Step-by-step explanation:

To find a percentage of a number, you move the decimal mark all the way to the left.

87.5% becomes 0.875

Next you multiply 32 by 0.875 to find the percentage of questions that are completed

32 x 0.875 = 28

28 out of 32 questions have been solved, so now you subtract 28 from 32

32 - 28= 4

There are 4 questions to complete

7 0

3 years ago

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Plz help i need help on this i do not get it

Andrej [43]

Area of circle 1 = πr²
Area of circle 1 = π (10)²
Area of circle 1 = 100π km²

Area of circle 2 = πr²
Area of circle 2 = π (5)²
Area of circle 2 = 25π km²

Number of times the bigger circle is greater than the smaller circle
$\dfrac{100 \pi }{25 \pi } = 4$

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Answer: The big circle is 4 times greater than the small circle.
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6 0

3 years ago

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How can you choose values for x when making a table of value representing a real world situation?

coldgirl [10]

You can simply count 0,1,2,3 when zero is your starting point

7 0

3 years ago