You drop a pencil out of window that is 20ft above the ground. Use the formula V^2=64s, where V is speed and s is the distance fallen, to calculate the speed the pencil is traveling when it hits the ground.

Answers

Answer 1

Answer: first you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times the square root of 5
V=16 times the square root of 5

also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V

Answer 2

Answer:

Final answer:

Substituting the distance of 20ft (converted to approximately 6.096 meters) into the equation V^2=64s, we calculate that the pencil would hit the ground with a speed of approximately 31.4 m/s.

Explanation:

In this physics problem, we utilize the formula V^2=64s, which connects the speed (V) and the distance traveled (s). The step we are interested in involves substituting known values into our equation. Given that s

is an altitude of 20ft (which we convert to approximately 6.096 meters for consistency in units), we substitute this into our equation and solve for V. This yields V = √(64*6.096). By carrying out this square root, we determine that the pencil hits the ground at approximately 31.4 m/s.

Learn more about Falling Object Velocity here:

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What is 22.5% written as a fraction in simplest form

Answers

22.5 written as a fraction could be like this 22 5/10, we can simply that to 22 1/2, if you want mixed number then it's 45/2

22.5%-- The 22 is a whole number, so we can right away say that'll stay as a whole. The 5 in 22.5 is in the tenths place value, therefore the denominator will be 10 and the numerator will be 5. The fraction you have now is 22 5/10, or in simplest form 22 1/2. As an improper, it is 45/2:)

An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse?

Answers

The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.
Assume a variable for the changing values.
Put a coefficient for the variable, if there is any rate of change of variable.
Use constant numbers for the fixed values.

An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented byx.

According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,

$h^2=x^2+x^2\n\h=√(x^2+x^2)\nh=√(2x^2)\nh=x√(2)$

Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

Learn more about the algebraicexpression here;

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right triangle means Pythagorean theorem!
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case

over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. what is the rate of change in worldwide temperatures per year?

Answers

Answer:

0.05 degrees per year

Step-by-step explanation:

find the area of a triangle with a base length of 4 units and a height of 5 units A. 8 units B. 9 units C. 10 units D. 20 units

Answers

Area = Base x 1/2height
Answer is C) 10

Answer:

C. 10 square units got it right.

Step-by-step explanation:

hope it helps :D

When might it be useful to know how to find the area of a real-life composite figure?

Answers

If you choose to become an architect, then you will need it all the time. You would need to find the area of the floors, walls, etc. which will almost always be composite figures.

James correctly answered 85% of the 60 problems on his math test. how many problems did James answer correctly?

Answers

Answer: 51

Step-by-step explanation:

0.85 x 60 = 51

51 questions correctly

He answered 45 correctly

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