Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.
The slope will be 4/7. Let me know if you want an explanation.
Answer: 4/7
Hope this helped!
0.48 ounce is alcohol
Because you have to divide 100% from 12 ounces which is equivalent to 0.12 ounces for 1% now you will have to multiply 0.12 x 4% WHICH is 0.48 ounce
Answer:
6 liters
Step-by-step explanation:
Given:
Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio.
If Renata pours 18 liters of fresh kale juice, how many liters of clam juice should she add to maintain this ratio?
Solution:
Ratio to be maintain by using kale juice and clam juice = 3 : 1 ( given)
Renata pours fresh kale juice = 18 liters
We have to calculate quantity of clam juice should be added to maintain this ratio:-
Let quantity of clam juice should be added = 
<u>Ratio to be maintain : : quantity of kale juice : quantity of clam juice</u>
By cross multiplication:
By dividing both sides by 3
Thus, 6 liters of clam juice should she add.
