Answer:
The answer to your question is 12.55 cm
Step-by-step explanation:
Data
Adam Cara
height = 159 cm height = 140 cm
shadow = 105 cm shadow = x
Process
1.- To solve this problem use the Thales' theorem
Cara's shadow / Cara's height = Adam's shadow / Adam's height
- Substitution
x / 140 = 105 / 159
-Solve for x
x = 105 (140) / 159
-Simplification
x = 14700 / 159
x = 92.45 cm
Cara's shadow is 92.45 cm long.
2.- If both shadows are in line, then Cara must walk forward
105 - 92.45 cm
12.55 cm
2/4 is the larger fraction. Think of a candy bar that is cut into 4 equal pieces. Now think of the same sized candy bar cut into 6 pieces. The candy bar that has been cut into sixths has more pieces but they are smaller pieces that the candy bar cut into fourths.
**When comparing fractions, if the numerators are the same (like they are in this problem) look at the denominators. Whichever fraction has the greater number is actually going to be the smaller fraction (more pieces, but smaller pieces). If the denominators are the same, then the fraction that has the greater number in the numerator will be the larger fraction (more same-sized pieces than the other fraction)
Hope that helps!

Step-by-step explanation:
Given: r = 4 cm
The surface area A of a sphere is given by


Answer:
When we have a function f(x) = y.
The rate of change between a and b (where a < b) is:
R = (f(b) - f(a))/(b - a)
In this case:
b = 3
a = 1
f(3) = 127
f(1) = 95
R = (127 - 95)/(3 - 1) = 16
The rate of change in that interval is 16.
Answer:
there you go but im not sure . hope its helpful and good luck ;)