Mr Ludwig wrote the following question as a bonus on this week's quiz "My car can hold 12 65 galons of gas. I drive 24.9 miles for every gallon of gas used. How many miles can I drive on a full tank?
Some of the student responses are shown in the table below
Student
Response
Liam
12.65
+ 24.90
37.55
Noelle
24.90
12.65
1225
Madeleine
12.65
24.9
31.4985
12.65
24.9
Yesinia
314.985
Which students answered incorrectly? Why are they wrong?
B
IŲ 2

i need the options

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

sweetheart, there isn't a cube below.