Answer:
653.84 lbs.
Step-by-step explanation:
To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.
The x component of the 300 lb force is 300cos(60)=150 lbs.
The y component of the 300 lb force is 300sin(60)=
lbs.
The x component of the total force is the sum of the x components of the two forces.
Fx=150+450=600
Fy=259.81
The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.
F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.
Answer:
$3.51
Step-by-step explanation:
1 pound is $2.39 so divide by 2 and round up to the nearest whole number which is $1.12. Add $1.12(The cost of 0.5 pounds) to $2.39(The cost of 1 pound) to get $3.51 as your total.
Answer:
8.27 ft.
Step-by-step explanation:
Using trigonometry of a right angled triangle:
cos 74 = x / 30 where x is the required distance
x = 30 cos 74
= 8.269 ft
<u>Answer:</u>
Angle A = 39°
<u>Step-by-step explanation:</u>
We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.
But first we need to find the side b using the law of cosine:



Now finding angle A using law of cosine:




Therefore, the measure of angle A = 39°.