90° angle
90° - existing 42°
the missing angle is 48°
Answer:
Volume = length x width x height
V = 18 x 8 x 12 = 1728 cm3 = 1728 ml = 1.729 liters
Step-by-step explanation:
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
</span>
we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
Answer:
k=18
Step-by-step explanation:
have a good day :)
Answer:
0.157 is the proportion of students who smoke.
Step-by-step explanation:
We are given the following in the question:
Number of students who smoke = 58
Number of students who don't smoke = 311
Total number of students surveyed =
Number of students who smoke + Number of students who don't smoke
Proportion of students who smoke =
Thus, 0.157 is the proportion of students who smoke.
