Answer:
<2.1130913087, 4.53153893518>; <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>
Step-by-step explanation:
Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>
The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)> ≈ <−3.03108891325, −1.75>
You add them together to find his actual motion:
<−0.91799760455, 2.78153893518>
Explanation:
Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.
If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.
To the nearest would be about 52
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:

Also

I think you mean 
We can deduce that this term will be located somewhere in the middle. So I will calculate
.
For 

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just 
For 

Answer:
Step-by-step explanation:
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126