Answer:
1 : 64
Step-by-step explanation:
Model:
1/2 in * 1/6 in = 1/12 in^2
Real:
1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2
model : real
1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64
model : real = 1 : 64
Answer:
x=13 degrees
Step-by-step explanation:
First, think of the remote interior angle theorem. So basically the remote interior angles that don't share a vertex with the exterior angle is the sum of the exterior angle. So that means ∠EBC+∠BEC=∠ECD. ∠ECD=64 degrees+90 degrees=154 degrees. ∠EBC is equal to 180 degrees minus 3x because line AD is a line so ∠ABE and ∠EBC are supplementary angles so basically they add up to 180 degrees. So the equation is (180-3x)+x=154. Simplify the equation and you should get x=13 degrees:)
Answer:
d=4/5
Step-by-step explanation:
2(5+d)=14
10+5d=14
5d=4
d=4/5
Answer:
The number of complex roots is 6.
Step-by-step explanation:
Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.
_____
The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.
Answer:
769.46 miles
Step-by-step explanation:
Please have a look at the photo attached in this answer
The missing part of the angle is 32 degrees, so the total angle of B is:
32 + 73 = 105 degrees.
Let x is the distance from airport A to airport C to the nearest tenth of a mile, we use cosine law to find x:
=
- 2(570)(390)cos(105)
<=>
= 592070
<=> x =
= 769.46 miles