Answer:
x = 89. 98⁰
Step-by-step explanation:
tan(x) = 29/ 14
x = tan-¹ (29/14)
x = 89. 98⁰
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
All you have to do is multiply 18.3 x 5.1
18.3×5.1=93.33
It will take 93.33 minutes to repair the entire section. Hope that helps!
Answer:
found this i think this should help with your question
Step-by-step explanation:
The probability of choosing Joey first is 1/12 .
If that happens, the probability of choosing Chloe next is 1/11 .
Then, the probability of choosing Zoe after that is 1/10 .
The probability of all these things happening is
(1/12) x (1/11) x (1/10)
= 1/1320 = 0.00076 = 0.076 percent
