Answer:
105 inches
Step-by-step explanation:
Because the base is a rectangle, that is the best place to start. The first step is to multiply 5 by 6 which results in a base area of 30 inches. Because it is a triangular prism, we then multiply the base and divide by two. The formula for this equation is V=(width*length*height)/2
The final answer is 105
Answer:
We do not travel to the same vertex twice (or more). A cycle is a closed path. ... Different books have different terminology in some books a simple path means in which none of the edges are repeated and a circuit is a path which begins and ends at same vertex,and circuit and cycle are same thing in these books.
Step-by-step explanation:
As soon as I read this, the words "law of cosines" popped
into my head. I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.
The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.
To find angle-B, the law of cosines says
b² = a² + c² - 2 a c cosine(B)
B = angle-B
b = the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9
(1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)
1.96 = (1) + (3.61) - (3.8) cos(B)
Add 3.8 cos(B) from each side:
1.96 + 3.8 cos(B) = 4.61
Subtract 1.96 from each side:
3.8 cos(B) = 2.65
Divide each side by 3.8 :
cos(B) = 0.69737 (rounded)
Whipping out the
trusty calculator:
B = the angle whose cosine is 0.69737
= 45.784° .
Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...
By gosh ! Choice 'B' is 45.8° ! yay !
I'll bet that's it !
Answer:
A. 3.0 m/s
Step-by-step explanation:
Based on the graph,
velocity = Area of the graph
(y : position and x : time)
Let y1 = 2m and y2 = 14m,
t1 = 0s and t2 = 4s
v = (14 - 2)m/(4-0)s
= 12m/4s
= 3.0 m/s
N= -4
-4/2+5=3
-2+5=3 you have to subtract the 5 from three first and then multiply the answer by 2 to get n
