Answer:
B = 42.9°
C = 87.1°
c = 7.4
Step-by-step explanation:
In this problem we are given two sides and one angle of a triangle ABC. The given values are:
a = 9
b = 8
A = 50°
In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.
Calculating, let's the the law of sines.
Taking for A & B, we have:
Let's cross multiply
(sin 50°)(8) = 9 sinB
Solving further,
B = 42.9°
Since the total angle of a triangle is 180°, to find C, we have:
C = 180 - 50 - 42.9
C = 87.1°
To find the length of c, let's also use the sine formula.
Cross multiplying
8c = 87.1 sin 42.9
c = 7.4
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Answer:
2
Step-by-step explanation:
The equation can be rewritten as ...
... (x -5)² + (y +3)² = 0 . . . . . . a circle of radius 0 centered at (5, -3)
This is the equation of the point (5, -3). So, ...
... x + y = 5 - 3 = 2
Answer:
Option D)
Step-by-step explanation:
Given:
x= {2,3,4}
y={49,343,2401}
Points with coordinates (x,log(y)) are required to be plotted
Finding (x,log(y)):
log(y)= {log(49),log(343),log(2401)}
Log(49)=1.69020
log(343)=2.53529
log(2401)=3.38039
Now the transformed data set will be written in coordinates form:
(2,1.690),(3,2.535),(4,3.380)
Which is option D !
Answer:
3/16
Step-by-step explanation:
5 blue, 6 red, 3 black, and 2 yellow
total number of marbles = 5 + 6 + 3 + 2 = 16
p(black) = (number of black marbles)/(total number of marbles)
p(black) = 3/16
Answer: 3/16