Answer:
t as a function of height h is t = √600 - h/16
The time to reach a height of 50 feet is 5.86 minutes
Step-by-step explanation:
Function for height is h(t) = 600 - 16t²
where t = time lapsed in seconds after an object is dropped from height of 600 feet
t as a function of height h
replacing the function with variable h
h = 600 - 16t²
Solving for t
Subtracting 600 from both side
h - 600 = -16t²
Divide through by -16
600 - h/ 16 = t²
Take square root of both sides
√600 - h/16 = t
Therefore, t = √600 - h/16
Time to reach height 50 feet
t = √600 - h/16
substituting h = 50 in the equation
t = √600 - 50/16
t = √550/16
t= 34.375
t = 5.86 minutes
Which set of numbers correctly shows all of the factors of 28? 1, 2, 4, 7, 14, 28 1, 2, 7, 14, 28 0, 1, 7, 14, 28 1, 2, 4, 7, 8,
slega [8]
Answer:
1, 2, 4, 7, 14, 28
Step-by-step explanation:
Factors of 28 are the numbers that divide into 28 evenly.
1, 2, 4, 7, 14, 28
<h2>Explanation:</h2>
Let's take a look at all of our options.
A. it is also a square
- A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
- A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.
B. the sum of its angle measures is 360
- This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
- B is an option because it is an ALWAYS true statement.
C. it has four congruent angles
- A rectangle always has 90 degree angles, giving it its shape.
- Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
- C is also an option because it is always true.
D. it has four congruent sides
- A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
- A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.
<h2>Answers:</h2>
B and C are always true of a rectangle.
We are given the expression (x + 14) - (8 - 2x). The question is asking us to simplify this expression, and we can do that by first using the distributive property. This gives us x + 14 - 8 + 2x. Now, just combine like terms, which gives us 3x + 6. Therefore, the answer to your query is 3x + 6. Hope this helped and have a phenomenal day!
