Answer:
a = 14
b = 24
c = 24.9
A = 33.2 degrees
B = 70 degrees
C = 76.8 degrees
Step-by-step explanation:
a/sin(A) = b/sin(B) = c/sin(C)
14/sin(A) = 24/sin(70)
sin(A)×24 = sin(70)×14
sin(A) = sin(70)× 14/24 = sin(70) × 7/12 = 0.548154029...
A = asin(0.548154029...) = 33.240464... degrees
the sum of all angles in a triangle is airways 180 degrees.
C = 180 - 70 - 33.240464... = 76.75954... degrees
24/sin(70) = c/sin(76.75954...)
c = 24×sin(76.75954...)/sin(70) = 24.86133969...
Since two people take both courses, we can subtract two from 7, 8, and 21, giving us 5, 6, and 19.
Add 5 and 6 together to get 11. Since eleven students are in those two groups, we can answer this. The answer will be 11/19.
The answer is 22.8
Cos 64 = adj./hypotenuse
Cos64=10/x
X(cos64)=10
X= 10/cos64
= 22.8
Answer:
Options (2) and (4)
Step-by-step explanation:
Option (1)
The slope of the graph is 60.
From the graph attached,
Slope = 
= 
= - 60
False.
Option (2)
y-intercept gives the initial distance, in miles from Exit 34.
True.
Option (3)
y-intercept of the graph is 3.5
Since, y-intercept of the graph is 210.
Therefore, Option (3) is False.
Option (4)
Slope gives the rate, in miles per hour, at which the distance to Exit 34 changes over time.
True.
