The side lengths of the smaller cube is 3 1/2 inches by 3 1/2 inches by 3 1/2 inches

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer

Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v $i$ t + $\frac{1}{2}$ a $t^{2}$

d = distance v $i$ = initial velocity (m/s)

t = time (s) a = acceleration (m/ $s^{2}$ )

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/ $s^{2}$ since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + $\frac{1}{2}$ (9.81m/ $s^{2}$ )(t)

220.98m = (4.905m/ $s^{2}$ )(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0

2 years ago

Department s had 500 units 60% completed in process at the beginning of the period; 9,000 units completed during the period; and

Delicious77 [7]

With the concept of first in, first out method, then we can use the formula below to solve for the number of equivalent units of production for that period.

number of equivalent units of production

= Total number of units completed during that period (A) – Number of units completed in process at the beginning of the period (B) + Number of units completed at the end of the period (C)

= A – B + C

We know that,

A = 9000 units

So we solve for B and C.

B is 60% of the 500 units, therefore:

B = 0.60 * 500 = 300

C is 30% of the 600 units, therefore:

C = 0.30 * 600 = 180

Substituting the values into the equation:

number of equivalent units of production = 9000 – 300 + 180

number of equivalent units of production = 8880 units

Answer:

A. 8880

3 0

3 years ago

Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the

melisa1 [442]

Answer:

C) 1/6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We have 8 + 10 + 4 + 2 = 24 coins

Of those, 4 are nickels. So

$p = \frac{4}{24} = \frac{1}{6}$

The correct option is given by option C.

3 0

3 years ago

The ordered pair (-2, 12) is a solution of the inequality y > -5x + 2. True False

mel-nik [20]

The answer should be True!

Hope it helped you.

-Charlie

:)

4 0

3 years ago

Read 2 more answers

If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi. one whole side is 28 in

morpeh [17]

What you need to find is the extra amount of plywood. To do that, you must find the area of the square and the area of the circle and subtract them to find the answer.

Formulas:
area of a square: A = bh
area of a circle: A = $\pi r^2$

square measurements:
b = 28
h = 28

circle measurements:
$\pi$ (≈3.14)
r = 14

A = (28)(28)
A = 784
area of square = 784 in^2

A = 3.14 ( $14^{2}$ )
A = 3.14 (196)
A = 615.44 in^2

784 - 615.44 = 168.56
The amount of plywood left over is 168.56 in^2.

6 0

3 years ago