Answer:
CB = 20 or D
Step-by-step explanation:
Remark
You have a proportion. A proportion consists of 2 equal ratios. Three parts of the Proportion of 4 much be known. Then you can solve for the 4th.
Formula
Large vertical / Small Vertical = large horizontal / Small horizonal. Notice how Large goes on top of the ratios and small on the bottom.
Givens
Large Vertical: 8 feet
Small Vertical: 5 feet
Large horizontal: CA + 12.5 feet
Small Horizontal: 12.5
Solution
8/5 = (CA + 12.5) / 12.5 Cross Multiply
5(CA + 12,5) = 8 * 12.5 Remove the Brackets
5CA + 62.6 = 100 Subtract 62.5 from both sides.
5CA = 37.5 Divide by 5
CA = 7.5
CB = CA + 12.5
CB = 7.5 + 12.5
CB = 20
Answer
D
If you are in college, this question is likely done with calculus.
a = 12
k = 0.2
v(x) = 0 at the maximum after differentiation
V(x) = kx(a - x)
The easiest way to do this is to remove the brackets.
V(x) = akx - kx^2 Substitute the constants
V(x) = 12*0.2*x - 0.2x^2
V(x)/dx = 2.4 - 0.4x = 0 at the maximum
2.4 - 0.4x = 0
0.4x = 2.4
x = 2.4/0.4
x = 6
If you don't know any calculus yet, you can do this by completing the square.
$3.50 because 15 - 8 = 7 and 7 divided by 2 is 3.50
If the temperature falls from 72°F to 36°F in four minutes, it means it fell 72-36 = 36°F in four minutes.
To find out what's the value of the temperature fall in one minute we just have to divide 36 by 4:
36 / 4 = 9
Answer: The temperature fell 9°F per minute.
Answer:
3750 feet long
Step-by-step explanation:
you would multiply the inches of the model ( 15) by the feet of the scale ( in this case 250) to get the real amount of feet for the boat.