Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
Sh ah hello hello hi hi hi hi
I can help with 5 - 7.
5. 19.6 (Rounds up to 20.)
6. 56.7 (Rounds up to 57.)
7. 9.86 (Rounds up to 10.)
Sorry I couldn't help with more.
I hope this does help.
Answer:
NM = 15
Step-by-step explanation:
There is a property of secants and tangents to a circle where:
The square of the tangent length is equal the length of the external segment of the secant times the whole secant length.
Therefore, in our question, we have that:
The values of NM, ML and MK are:
So we have:
So the length of NM is:
2900:48 i think this is the answer