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3 years ago

Please help I have the answers I just need the work and steps pls!!!

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

15 cubes can fit

Step-by-step explanation:

1/4 per cube. 1 1/4 cm long

5 cubes across.

3 cubes in height

5 across times 3 = 15

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What is the greatest common factor of 9 and 14?

Morgarella [4.7K]

Answer:1

Step-by-step explanation:

"Greatest Common Factor of 9 and 14. Greatest common factor (GCF) of 9 and 14 is 1."

4 0

3 years ago

Read 2 more answers

Question

Jobisdone [24]

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) = (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

25 ft = (1/2)*(32.17 ft/s^2)*t^2

2*25ft = (32.17 ft/s^2)*t^2

50ft = (32.17 ft/s^2)*t^2

√( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

8 0

3 years ago

Drag the values into the boxes to classify each number as rational or irrational. picture below pls help quick.

larisa [96]

Answer:

Step-by-step explanation:

Rational numbers;

Numbers which can be written in the form of $\frac{p}{q}$ or repeating decimal numbers are the rational numbers.

Examples : 1, 2, $\frac{2}{3}$

Irrational numbers:

Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.

Example: $\sqrt{8},\pi,\sqrt{\frac{8}{21} }$

From the given numbers,

Rational numbers: $\frac{11}{3}$ , 6.25, 0.01045, $\sqrt{\frac{16}{81} }$ , 0.424242....

Irrational numbers: $\sqrt{48}, \sqrt{\frac{3}{16} }$

6 0

3 years ago

You and three friends are eating a pizza with 12 pieces. Each person eats the same number of pieces. Let x represent the number

Setler [38]

Answer:

C. 4x = 12

Step-by-step explanation:

You and three friends= you + 3 friends=4 people

Pizza= 12 pieces

Each person eats equal pieces of pizza

x= number of pieces each person ate

Equation

4x=12

Divide both sides by 4

x=12/4

x=3

Therefore, each person ate 3 pieces of pizza each

Check:

4x=12

4(3)=12

12=12

6 0

3 years ago

Select the correct answer.

Ierofanga [76]

Answer:

$19.2x+96$ units

Step-by-step explanation:

The perimeter of a square is 4 times the length of one side.

The length of the sides of a square is given by the expression $4.8x+24$

To find the perimeter, we multiply this expression by 4.

$Perimeter=4(4.8x+24)$

We expand to obtain:

$Perimeter=4*4.8x+4*24$

This simplifies to:

$Perimeter=19.2x+96$

7 0

3 years ago