Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN
Answer:
She payed $269 for the chainsaw :)
$80 hourly used limousine
80 * .20 = $16 tip
$80 + $16 = $96 <span>he spent hourly charges plus tip
$96 * 4 = $384 total for 4 hours plus tip</span>
First we have to find the area. To do that, we first have to find the side lengths of the square. Since a square has all four sides same length, we can find this by dividing: 52/4 = 13
Now we'll find the area in square meters: 13 * 13 = 169
So the area is 169 square meters.
So to find out how much that will cost, we will multiply the number of square meters by the amount it cost per square meter: 169 * $5 = $845
So it will cost $845
