A sheet of cardboard measures 9 feet by 6 feet. Gina makes the entire sheet of cardboard into a closed box that is a perfect cube. What is the surface area of the box?

Answers

Answer 1

Answer: I'd call this a trick question ... at least one that's trying hard to distract you.

It makes no difference what shape Gina decided to construct with her cardboard.
Whether it was a cube, a sphere, a pyramid, or a crumpled up ball of cardboard.
As long as she used "... the entire sheet of cardboard ...", the surface area stays
the same as it was when it was just a flat sheet.

(9-feet x 6-feet) = 54 square feet

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Caleb types 100 words in 5 minutes. what is the unit rate?

Answers

20 words per minute is the answer

your answer is C.

Holps this helps :D

If the number of professors in a college is p and the number of students is s, and there are 18 times as many students as professors, what is an algebraic equation that shows the relationship?

Answers

Answer:

Step-by-step explanation:

let p be number of professors and s be number of students

18 times of students as professors

s = p * 18

s = 18p

Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the third vertex of the triangle?

Answers

The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate.

So the point is in (4, 1).

Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

Answers

1 ) 1 + tan² t = sec² t
1 + sin² t / cos² t = 1 / cos² t
( This is because we know that tan x = sin x / cos x and csc x = 1 / cos x )
Then we will multiply both sides of an equation by cos² t
1 * cos² t + sin² t * cos² t / cos² t = 1
cos² t + sin² t = 1 ( and we know that it is the identity - true )
2 ) 1 + cot ² t = csc² t
1 + cos² t / sin² t = 1 / sin² t / · sin² t ( multiply both sides by sin² t )
sin² t + cos² t = 1 ( true )

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.

Answers

To solve a quadratic equation, we use the quadratic formula which is expressed as:

x1 = [-b + √(b²-4ac)] / 2a]
x2 = [-b - √(b²-4ac)] / 2a]

These formulas are used to solve for the values of the roots of the equation given. From the equation,

a = 1
b = -5
c = -4

Substituting the values, we have:

x1 = 5.70
x2 = -0.70

Therefore, the negative real number is -0.70.

The value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4

What is a quadratic equation ?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.