Answer:
Correct choice is B
Step-by-step explanation:
All given options represent quadratic function. Let the equation of this quadratic function be

Then
1. 
2. 
3. 
Solve the system of two equations:

Then

Thus, the equation of the function is

Note that


Answer: The required equation is,

Step-by-step explanation:
Let x be the size of the larger bottle,
Since, the size of smaller bottle of lotion = 5.4 ounces,
According to the question,
The larger bottle gives 20% more free lotion,
The size of the larger bottle = The size of smaller bottle of lotion + 20 % of the size of smaller bottle of lotion
= 120 % of the size of smaller bottle of lotion
= 120 % of 5.4


Which is the required equation that could be used to find the size of the larger bottle.
First, using the order of operations(PEMDAS), you would solve what is inside the parenthesis.
<span>(8.218 + 9.93) + (17.782 + 0.07)
(</span>18.148) + (17.852)
18.148 + 17.852
Now, all you would have to do is add the two sums.
18.148 + 17.852 = <span>36
</span>
The answer would be 36.
I hope this helps!
Answer:
39.5 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.
Tan = Opposite/Adjacent
This lets us write two equations in two unknowns:
tan(67°) = AD/CD . . . . . . . . . . angle at guy point
tan(39°) = AD/(CD+32) . . . . . .angle 32' farther
__
Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.
CD = AD/tan(67°)
tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation
tan(39°)(AD/tan(67°) +32) = AD
32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term
32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient
AD ≈ 39.486 . . . . feet
The tower is about 39.5 feet high.
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.