What is the cube of the quotient 24 and 6

Answers

Answer 1
Answer: Quotient of 24 and 6 is : \frac { 24 }{ 6 } =4

and 4's cube is : { 4 }^( 3 )\quad =\quad 4\cdot 4\cdot 4=64
The answer is 64

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What is the sum of 2/5 and 2/4?

Answers

Make sure they are under the same denominator:

2/5 x 4 = 8/20
2/4 x 5 = 10/20

= 18/20
= 9/10 (simplified)

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry? True or false?

Answers

False.

Reflectional symmetry, as the name suggests, is a property a design has if it maintains all characteristics when it is reflected with respect to some axis. This means that you must choose a line, and make it act as a mirror.

For example, you can consider a square, and one of its diagonal. If you "flip" the figure with respect to said diagonal, the square will remain the same.

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a line of symmetry so the given statement is False.

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will bit that (x,y) → (y,x).

If we want to reflect any graph or curve then we need to take a reference axis or line.

If the line is a line of symmetry then the length, with and remaining gall characteristics will remain the same.

Thus, the reflection must be the point of the axis.

Hence "The preceding statement is False because reflective symmetry is the property that a design possesses if it retains all attributes when it is rotated about a line of symmetry".

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If each lap around a track is 400 meters long, how many laps equal 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter)

Answers

Answer:

129.032258064516129

Step-by-step explanation:

Final answer:

To convert 3.1 miles into laps on a 400m track, we first convert miles to meters, getting approximately 4988.954 meters. Dividing by 400 meters per lap, we find the distance is approximately 12.5 laps.

Explanation:

The first step is to convert miles into meters, because the laps are measured in meters. There are approximately 1609.34 meters in a mile. So, 3.1 miles would be approximately 4988.954 meters (3.1 x 1609.34 = 4988.954).

As each lap is 400m, we can determine the number of laps by dividing the total distance in meters by the length of one lap. So, 4988.954 meters divided by 400 meters per lap gives us approximately 12.5 laps. Since we need to round to the nearest tenth, our final answer becomes 12.5 laps.

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How tall would I  be if i were 54 inches

 

How tall would I be if i were 58 inches?

 

How tall would i be if Iwere 59 inches?

Answers

So the question is how tall would a person be in three cases, 54 inches, 58 inches and 59 inches. Since the height measure are feet and inches and one feet has 12 inches, this is the first case: 54 inches = 4*12 inches + 6 inches = 4 feet and 6 inches = 4'6''. Second case: 58 inches= 4*12 + 10 inches= 4 feet and 10 inches = 4'10'' and third case: 59 inches= 4*12 inches + 11 inches= 4 feet and 11 inches = 4'11''.

There are 36 people riding in the first train car. The second train car has 3/4 the number of people that are in the first car.How many people are riding in the second train car?
Express your answer in simplest form

Answers

Alright, because we know that there are 36 people in the first car, and the second car has 3/4 of the amount of people in the first car, we can set up an equation, 36*3/4=x

To solve for x, what we can do is multiply 36 by 3, getting 108, then what you need to do is divide 108 by 4 to get 27, so there should be 27 people in the second car.

2 wires help support a tall pole. 1 wire forms an angle of 48 degrees with the ground and the other wire forms an angle of 72 degrees with the ground The wires are 20 meters apart. How tall is the pole?

Answers

the height of the pole is 24.48 m

What is the concept of heights and distances?

The concept of heights and distances is the use of right triangles in real-world examples and solving for missing components using trigonometric ratios in a right triangle.

The scenario is illustrated below :

let triangle form with wire of angle 48 degree be BCD and that with angle 72 degree is ACD,

with, distance AB equals to = 20 m

Let AD be = y

the height of the pole CD = x

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side.

Considering triangle ACD,

Tan 72 = x/y

x = ytan72° = y ×3.077

x = 3.077y- - - - - - - - -(1)

Considering triangle BCD,

Tan48 = x/(20 - y)

x = (20 - y)tan48 = 1.11(30 - y)

x = 33.31 - 1.11y- - - - - - - - -(2)

Substituting equation 1 into equation 2, it becomes

3.077y= 33.31 - 1.11y

3.077y+ 1.11y = 33.31

4.187y = 33.31

y = 7.95 m

x = 3.077y

x = 3.077 x 7.95

x = 24.48 m

Therefore, the height of the pole is 24.48 m.

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First you'll want to draw your triangles (2 right triangles with the pole running through the middle).  The angles you know are 72 degrees on the bottom left corner and 48 degrees on the bottom right corner.  With this, you can figure out what the remaining angles are.
Angles of a triangle add up to 180 degrees so the missing top angle for the first triangle is 18 degrees (180 - (90 + 72)) and the missing top angle for the second triangle is 42 degrees.

You can now set up a ratio since angles are directly proportional to their opposite side.  You know that the bottom is 20 meters.  This means that 18/(18+42) = x/20, which simplifies to x = 6.  This means the bottom of the first triangle is 6 meters, and it follows that the bottom of the second triangle is 12 meters (although you don't really need this information).

Now comes the trig.  You need to figure out the length of the hypotenuse of one of the triangles so that you can use the Pythagorean Theorem to figure out the height of the pole.  You can set up tan(72) = (6/x) - tangent is opposite over adjacent - which simplifies to x = 6/tan(72).  You can plug this into your calculator (make sure you're in degrees mode) and you'll get x = 5.4024.  This is the length of your hypotenuse.

Now plug this value into the Pythagorean Theorem (a^2+b^2=c^2) to get 6^2 + b^2 = (5.4024)^2 = c^2, c^2 = 65.1862, and c is approximately 8.0738!

8.0738 meters tall.