Perfect application for the Law of Cosines.
c^2 = a^2 + b^2 - 2ab cos C; here we want C, the angle opposite the 14 m side.
(14 m)^2 = (8 m)^2 + (12 m)^2 - 2(8 m)(12 m) cos C
196 = 64 + 144 - 192 cos C
-12 = -192 cos C, or cos C = 0.0625
Then C = arccos 0.0625 = 1.5083 radians
1.5083 radians 180 deg
= ----------------------- * -------------------
1 3.14159 rad
= 86.417 degrees
= 86 degrees, when rounded off as specified.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Rewrite in logarithmic form
We start by taking log of both sides
From laws of logarithm;
So; becomes
Divide both sided by log3
From laws of logarithm;
So;
becomes
Hence, in logarithm form is
Answer:
it goes 1.25 km per minute
Step-by-step explanation:
7.5 divided by 6=1.25
Answer:
The correct option is A)
Step-by-step explanation:
To find the correct equation we first need to calculate the angular coefficient for the line, with the formula below:
m = (y2 - y1)/(x2 - x1)
m = (8 - 0)/(4 - 0) = 8/4 = 2
Using that we can apply to the equation of the line:
y = m*x + c
Since the line pass through (0,0) c must be equal to 0, so:
y = m*x
y = 2*x
So x must be:
x = t.
