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4 years ago

The radius of a circle is 4.3 inches. Using the formula A ≈ 3r2, what is the approximate area of the circle?

1 answer:

3 0

Area = (Pi)(Radius)^(2)

so

A = π(4.3)²
A = π(18.49)
A = 58.088 in/sq

(There should be a Pi button on your calculator)

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Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

3 years ago

What is the difference between microeconomics and macroeconomics?

Citrus2011 [14]

The major thing that differentiate microeconomics from macroeconomics is the object of study. Microeconomics refers to the study of economics at individual, group or business level while macroeconomics involves the study of economics on the national scale, that is the study of the economy of a nation. The economics of a nation is the combination of all the individuals, businesses, households, etc in a country.

4 0

3 years ago

The product of x and its opposite is always 1. O True O False

kari74 [83]

Answer:

False

Step-by-step explanation:

The opposite of x is -x

x* -x = -x^2

This is not always 1

3 0

3 years ago

Read 2 more answers

A bookstore costs $75 a day to keep open, and spends $10 for each book it

Papessa [141]

A because I know I’m right because I studied a little bit and I got to get it right

4 0

3 years ago

The expression (X + 3)(x + 2) is the product of two binomials. Which expression is also a product of binomials?

kow [346]

Answer:

Step-by-step explanation:

Binomials are expressions containing the sum (or difference) of two terms.

A. is not the answer because pq and qp are products.

C. is not the answer because 3x is not a sum/difference.

D. is not the answer because it is one binomial, not two muliplied together.

6 0

3 years ago