The problem is modelled in the first picture shown below
To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.
We use the cosine rule to work out the length AB




(nearest whole number)
The third picture shows the full diagram of the vectors
To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B
Angle A






(rounded to nearest whole number)
Angle B

Direction is 60° toward negative x-axis
Answer: Magnitude 130N and direction 60° toward negative x-axis
Answer:
356.8cm3
Step-by-step explanation:
Volume of a cone= 1/3 * base area * height.
Note: don't be confused by right circular cone ; a cone is gotten from a cylinder by dividing it into three parts. One from the right vertex slanted to the middle of the base; another from the left vertex slanted to the middle of the base and the remaining portion with the surface base at the top.
Going forward; base area =pi * raduis * raduis [ area of a circle; the base is a circle]
Volume= 1/3 * (3.142 * 7.8 * 7.8 *5.6) = 356.83cm3
Volume= 356.8cm3 [ to the nearest tenth].
Tenth means 1/10= 0.1; that is value after the decimal point.
Answer:
5x² - 13x + 6
Step-by-step explanation:
8x² - 6x + 2 - (3x² +7x -4)
Simplify the expression:
8x² - 6x + 2 - 3x² -7x + 4
Combine like terms:
5x² - 13x + 6
1/2 (12)(5a+7b)
6(5a+7b)
30a + 42b -- I hope this helped
Step-by-step explanation:
formula=⅓πr×r
⅓ * 22/7 * 4*4
1056/21
=50.285
approximately=50.3