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:
B = 
*r^2
(Base of the cone)
Step-by-step explanation:
The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.
Volume of the cylinder
V_cylin = ( *r^2 )* h
Where
r is the radius
h is the height
This means the volume of the cone is equal to
V_cone = (1/3)* ( *r^2 )* h
By looking to the equation of the problem
V=(1/3)Bh
We can easily deduce that
B = *r^2
(Base of the cone)
Answer: I can’t draw lol
But the comic version looks like he man it’s funny
Step-by-step explanation:
Answer:
B. [-1, ∞).
Step-by-step explanation:
g(x) = 3|x − 1| − 1
When x = 1 g(x) = 3(0) - 1 = -1.
As all negative vales of x will give positive values of |x - 1| then g(x) = -1 is its minimum value. The graph will be shaped like a letter V with the vertex at (1,-1).
Therefore the range is [-1, ∞).
The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
<h3>How to find the volume of the composite figures?</h3>
To find the volume of the composite figures, follow the steps listed below:,
- Separate the figure.
- Calculate the volume of each figure by which the composite figure is made of.
- Add the volume of all the individual figures to get the total volume of composite figures.
A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:
The volume of the room is:
V=length x width x height
V=40 x 40 x 30
V=48000 ft³
The volume of the entire house, including the roof, is,
V=10667+48000
V=58667 ft³
Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
Learn more about the volume of composite figures here;
brainly.com/question/1205683
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