Use the Fundamental Theorem of Algebra to determine how many real and imaginary solutions the function has :

A square piece of fabric is the side length of 3.2 cm find the area of the piece of the fabric

Sauron [17]

The area of square fabric piece is 10.24 cm^2

Step-by-step explanation:

Square is a four-sided shape where all sides are equal. The area of square is calculated by using its side.

Given

Side length of fabric piece = s = 3.2 cm

The area of square is given by:

$Area = A = s^2$

Putting s= 3.2

$Area = (3.2)^2\\= 10.24\ cm^2$

Hence,

The area of square fabric piece is 10.24 cm^2

Keywords: Square, area

Learn more about area of square at:

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7 0

3 years ago

Find the measures of the missing angles

rodikova [14]

2,7, and 6 are all 70 degrees. 1,4,5, and 8 are all 110 degress

7 0

3 years ago

Let F (x; y) = xy2i + x2y j. Evaluate ∫F.ds (from c to [infinity]) where C is the upper half of the circle of radius 1 centered

77julia77 [94]

Answer:

The integral $\int F \bullets ds$ is 0.

Step-by-step explanation:

A parameterization of curve C can be:

X (t) = cost 0 <= t <= pi

Y (t) = sint 0 <= t <= pi

r (t) = costi + sintj

r '(t) = -sinti + costj

$Fds = [-costsin^3t + sintcos^3t] dt$

The integral $\int F \bullets ds$ is given by:

$\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt$

$= \int _0^{\pi }-sin ^3tcostdt + \int _0^{\pi }sintcos^3tdt = 0$

4 0

3 years ago

Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%. How long will it take for her

NeX [460]

Answer:

It will take 36.1 years for her money to reach $105,000.

Step-by-step explanation:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Anna invests $7,000 in an account that compounds interest continuously and earns 7.5%.

This means that $P(0) = 7000, r = 0.075$

How long will it take for her money to reach $105,000?

This is t for which P(t) = 105000.

$P(t) = P(0)e^{rt}$

$105000 = 7000e^{0.075t}$

$e^{0.075t} = \frac{105000}{7000}$

$e^{0.075t} = 15$

$\ln{e^{0.075t}} = \ln{15}$

$0.075t = \ln{15}$

$t = \frac{\ln{15}}{0.075}$

$t = 36.1$

It will take 36.1 years for her money to reach $105,000.

6 0

3 years ago

Use dimensional analysis to change 4 miles per hour to feet per second. Please explain!

kodGreya [7K]

Answer: 5.87 feet per second

<u>Step-by-step explanation:</u>

Use the following conversions:

5280 feet = 1 mile, 1 hour = 60 minutes, 1 minute = 60 seconds

$\dfrac{4\ miles}{1\ hour}\times \dfrac{5280\ feet}{1\ mile}\times \dfrac{1\ hour}{60\ minutes}\times \dfrac{1\ minute}{60\ seconds}\quad =\dfrac{21,120\ feet}{3600\ seconds}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad =\dfrac{5.87\ feet}{1\ second}$

8 0

4 years ago