Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Let the speed of the joker initially be x mi/hr
after reduction, the new speed will be: (x-1) mi/hr
but
time=(distance)/(speed)
hence :
Total time taken will be:
4/x+5/(x+1)=41/20
solving for x we get:
x=21.585 mi/hr
thus the initial speed was 21.585 mi/hr after reduction the new speed was 20.585 mi/hr
No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.
In short, the final answer is choice D.
Answer:
Hypotheses followed by a conclusion is called an statement conditional statement. This is read - if then . A conditional statement is false if hypothesis is true and the conclusion is false. ... If we re- arrange conditional statement or change parts of then we have what is called a related conditional .
Answer:
4%
Step-by-step explanation:
After losing 4.17, it came down to 100.08, so the opening price was:
100.08 + 4.17 = 104.25
To find percentage decline, we find the ratio of the "change" (which is 4.17) divided by the opening (original) price, which is 104.25. Then we multiply that fraction by 100 to get our percentage decline.
So,

Thus, the
percentage decline = 4%