Answer:
$297
Step-by-step explanation:
220 increase 35% =
220 × (1 + 35%) = 220 × (1 + 0.35) = 297
Check the picture below.
so hmmm let's find the distance AC, which is the only one missing for the perimeter.
![\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{AC}\\ a=\stackrel{adjacent}{6}\\ b=\stackrel{opposite}{8}\\ \end{cases} \implies AC=\sqrt{6^2 + 8^2} \\\\\\ AC=\sqrt{100}\implies AC=10~\hfill \underset{Perimeter}{\stackrel{6~~ + ~~8~~ + ~~10}{\text{\LARGE 24}cm}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Ctextit%7Busing%20the%20pythagorean%20theorem%7D%20%5C%5C%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%5Cimplies%20c%3D%5Csqrt%7Ba%5E2%20%2B%20b%5E2%7D%20%5Cqquad%20%5Cbegin%7Bcases%7D%20c%3D%5Cstackrel%7Bhypotenuse%7D%7BAC%7D%5C%5C%20a%3D%5Cstackrel%7Badjacent%7D%7B6%7D%5C%5C%20b%3D%5Cstackrel%7Bopposite%7D%7B8%7D%5C%5C%20%5Cend%7Bcases%7D%20%5Cimplies%20AC%3D%5Csqrt%7B6%5E2%20%2B%208%5E2%7D%20%5C%5C%5C%5C%5C%5C%20AC%3D%5Csqrt%7B100%7D%5Cimplies%20AC%3D10~%5Chfill%20%5Cunderset%7BPerimeter%7D%7B%5Cstackrel%7B6~~%20%2B%20~~8~~%20%2B%20~~10%7D%7B%5Ctext%7B%5CLARGE%2024%7Dcm%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=8 \end{cases}\implies A=\cfrac{1}{2}(6)(8)\implies A=\text{\LARGE 24}~cm^2](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dbh%20%5Cbegin%7Bcases%7D%20b%3Dbase%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20b%3D6%5C%5C%20h%3D8%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%286%29%288%29%5Cimplies%20A%3D%5Ctext%7B%5CLARGE%2024%7D~cm%5E2)
Answer:
The total distance around the canvas painting is 60 cm.
Step-by-step explanation:
The total distance around the canvas painting is 60 cm, we know this because, to find the perimeter of a square you add the length of all 4 sides together. To find the length of 1 side we take the square root of the area which is 196 cm², this equals 14 cm. To find the perimeter we add all 4 sides together, so 14+14+14+14=60 cm.
Answer:
50
Step-by-step explanation:
since all angles add up to 180
and since this is a right triangle the square in the corner is 90 degrees
so 40+90+x=180
130+x=180
subtract 130 from both sides
130-130+x=180-130
x=50
Hope that helps :)
Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
