Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
Answer:
28.749 km
Step-by-step explanation:
in reality
1 foot = 0.3048 meters not 0.37
1 mile = 5,280 feet not 5,180
15 miles = 24.14016 kilometers
---------------------------
Using the numbers stated in the problem
0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km
Answer:
60.6528 kg
Step-by-step explanation:
Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:
Therefore, the volume of the solid ball is 0.007776 m³
Since we know that density is mass/volume, then we can find the mass of the iron:
Thus, the mass of the solid ball of iron is 60.6528 kg
Answer:
c
Step-by-step explanation:
Answer:
0.1536
Step-by-step explanation:
The computation of probability that the building failure will occur over its life is shown below:-
P(building failure) is
now we will solve the above equation
= 0.18 - 0.0264
After solving the above equation we will get
= 0.1536
Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.