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3 years ago

A circle has a radius of 19 cm. Find the radian measure of the central angle that intercepts an arc of length 4 cm.

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer:

1134

Step-by-step explanation:

$\pi \: radius \: 2$

=1134.114948

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

3 years ago

Help me please thanks

kow [346]

Correct answer:
First reflect across the y-axis, then rotate 90 degrees clockwise about point K, then shift 3 units down.

6 0

3 years ago

Which of the following is the sum of the polynomials 5x^2-4x+1 and -3x^2+x-3??

Katyanochek1 [597]

5x^2-4x+1 + -3x^2+x-3= 2x^2-3x-2

6 0

3 years ago

Fifth-grade students plant a class garden. They plant 7 1/6 rows of tomatoes and 3 1/2 rows of carrots. How many fewer rows of c

Nikitich [7]

Answer:

3 2/3

Step-by-step explanation:

7 1/6 - 3 1/2= 3 2/3

7 0

3 years ago

State if the function is a growth or decay and the factor <br><br> y=2x

Jet001 [13]

Answer:

the function shows growth of a factor of 2

Step-by-step explanation:

3 0

3 years ago

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