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3 years ago

The ratio of male to female adults working at the school is 4:5

Mathematics

1 answer:

Xelga [282]3 years ago

7 0

Answer:

64 females

Step-by-step explanation:

4 females:5 males

x females:80 males

Since this is a ratio, 80/5 will get us the number we need to multiply

4*16= 64

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A pair of vertical angles have the measure of 2y + 5 degrees + 4y degrees what is the value of y

timama [110]

Answer:

The value of y s 2.5

Step-by-step explanation:

Vertical angles are always equal to one another. In this case, we can find the angles by setting the two values equal and solving algebraically.

2y + 5 = 4y

5 = 2y

2.5 = y

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3 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

Please help i will give brainliest

Scilla [17]

Answer:

x=14.4

Step-by-step explanation:

x= $\sqrt{h^2-a^2} \\$

x= $\sqrt{28^2-24^2}$

x= $\sqrt{784-576}$

x= $\sqrt{208}$

x=14.4

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Step-by-step explanation:

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