Answer:
A
Step-by-step explanation:
We know that
.
We also know that
.
We can combine these facts to get
.
So, the answer is
and we're done!
<em>Note: the non-negative part or the equation comes from the fact that you assume the square root of a negative number doesn't exist. You will change this assumption later in the year, or in further years.</em>
Answer:
45°
Step-by-step explanation:
The angles of any triangle add up to 180 degrees
add the two known angles: 47+88=135
then subtract the sum from 180 to get answer: 180-135=45
Answer:
10.34 cm.
Step-by-step explanation:
First we need to calculate the angle between the hour and minute hand
We see that there are 5 * 5-minute intervals between the 2 hands and the clock has 12 * 5-minute intervals, so:
This is 5/12 * 360 = 150 degrees,
So we apply the Cosine Rule to the triangle:
x^2 = 4.5^2 + 6.2^2 - 2*4.5*6.2cos150
= 107.014
x = √107.14 = 10.34.
0.0816 is the probability so around only 3% so around only 5 or 6 people out of the total 180.