All categories

3 years ago

What is the area of this polygon?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

42 i think

Step-by-step explanation:

marshall27 [118]3 years ago

6 0

Answer:

Step-by-step explanation:

ΔPSE + GPST

(7 x 2) / 2 + (5 x 7) = 7 + 35 = 42

You might be interested in

59 pounds to 35 pounds increase or decrease

frutty [35]

If you went from <span>59 pounds to 35 pounds, that's a 24 pound decrease. </span>

4 0

3 years ago

Joe is riding his bicycle. He rides for 3 hours at a speed of 4.8 kilometers per hour. For how many kilometers does he ride?

eduard

Answer:

14.4km

Step-by-step explanation:

<h2>Speed = distance / time </h2>

speed = 4.8 km/h
time = 3 hrs
distance = ?

Distance = speed * time

Distance = 4.8 * 3 = 14.4km

5 0

2 years ago

Find e^cos(2+3i) as a complex number expressed in Cartesian form.

ozzi

Answer:

The complex number $e^{\cos(2+31)} = \exp(\cos(2+3i))$ has Cartesian form

$\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2)$ .

Step-by-step explanation:

First, we need to recall the definition of $\cos z$ when $z$ is a complex number:

$\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}$ .

Then,

$\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}$ . (I)

Now, recall the definition of the complex exponential:

$e^{z}=e^{x+iy} = e^x(\cos y +i\sin y)$ .

So,

$e^{2i-3} = e^{-3}(\cos 2+i\sin 2)$

$e^{-2i+3} = e^{3}(\cos 2-i\sin 2)$ (we use that $\sin(-y)=-\sin y)$ .

Thus,

$e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)$

Now we group conveniently in the above expression:

$e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2$ .

Now, substituting this equality in (I) we get

$\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2$ .

Thus,

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)$

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right]$ .

5 0

3 years ago

The area, A, of a square whose side length is n

Basile [38]

Step-by-step explanation:

the area of a square is the length multiplied the breadth

in a square, all sides are equal so:

A=n×n

A=n²

4 0

3 years ago

In the isosceles trapezoid below,<br> x = = [? ]°

jasenka [17]

Answer:

Step-by-step explanation:

yes

if you solve the equation,

5x+15=7x-11

26=2x

x=26/2=13

4 0

3 years ago