All categories

2 years ago

Find the area of a square with radius 17 square root 2 in.

Mathematics

1 answer:

TEA [102]2 years ago

5 0

Area = 3.14 * (17 sqrt2)^2
= 3.14 * 17^2*2
= 3.14* 289 * 2
= 1814.92 in^2

You might be interested in

Show how you can use repeated subtraction to find 84 divided by 6\

prisoha [69]

You can use repeated subtraction to solve 84 divided by 6 by subtracting 6 from 84 repeatedly, and stopping until either you reach zero, or until you cannot make any more groups of 6.

6 0

3 years ago

Read 2 more answers

The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan

kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Length of PQ = $\sqrt{(1-1)^2+(2-6)^2}$

PQ = 4

Length of PR = $\sqrt{(1+4)^2+(2-2)^2}$

PR = 5

Length of QR = $\sqrt{(1+4)^2+(6-2)^2}$

QR = $\sqrt{25+16}$

= $\sqrt{41}$

= 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

= 4 + 6.4 + 5

= 15.4 yards

4 0

3 years ago

Let R(x)=3x^3+2x^2+x and S(x)=4+1. Find R(x) * S(x) <br><br> Pls help!!!!

Katarina [22]

3x^3 x 4x^2 = 12x^5

3x^3 x 1 = 3x^3

2x^2 x 4x^2 = 8x^4

2x^2 x 1 = 2x^2

1x x 4x^2 = 4x^3

1x x 1 = 1x

12x^5 + 3x^3 + 8x^4 + 2x^2 + 4x^3 + 1x

Simplify

12x^5 + 7x^3 + 8x^4 + 2x^2 + 1x

Thus, answer is B

Hope this helps!

3 0

1 year ago

You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The exp

Katena32 [7]

Let's move like a crab, backwards some.

after 2 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &2
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=1000(1.03)^2$

after 3 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &3
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 3}\implies A=1000(1.03)^3$

is that enough to pay the $1100?

now, let's write 1000(1+r)² in standard form

1000( 1² + 2r + r²)

1000(1 + 2r + r²)

1000 + 2000r + 1000r²

1000r² + 2000r + 1000 <---- standard form.

8 0

2 years ago

Find the measures of the angles of a triangle whose angles have a measure of x, 1/2x, and 1/6x. Also, what kind of triangle is i

Alexandra [31]

the sum of the angles in a triangle = 180°, thus

x + $\frac{1}{2}$ x + $\frac{1}{6}$ x = 180

multiply through by 6

6x + 3x + x = 1080

10x = 1080 ( divide both sides by 10 )

x = 108

the angles are 108°, 54° and 18°

Since all the angles are different and the largest is 108°

The triangle is an obtuse scalene triangle

5 0

2 years ago