Answer:
12
Step-by-step explanation:
<span>A
scale factor is the ratio of two similar geometric figures of their
corresponding sides. The scale factor is calculated by locating the
corresponding sides on each figure. We calculate as follows:
scale factor = 9/30 = 0.3
Hope this answers the question. Have a nice day. </span>
Say that taking a quarter of student out of the group will add a quarter present of days for food so by take 20 students out you’ll get 60 days (that’s what I got hope this helps)
2.3 meters per minute. -7 is the start of Mr. Mole’s descend and the slope is -2.3. Since it is looking for a measurement, however, it is positive.
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
