What’s a perfect cube
M

If you read the decimal version of 4.8 out loud, it should be "four and eight-tenths."  This will always give you a good place to start when changing a decimal into an equivalent fraction.

Now, this is a mixed number: 4 and 8/10. To further simplify it as a mixed number, we can leave the 4 alone and reduce the fraction (8/10).  Both the numerator and denominator are divisible by 2, so we can conclude (8/10) = (4/5).  A correct answer in mixed number form is 4 and (4/5).

However, to change 4 and (4/5) to a single (improper) fraction, you first multiply the denominator (5) by the large number out front on the left (4) and ADD this product to the numerator (4).  This number is your new numerator and it will still have the same denominator as before.

Here, 4 and (4/5) = [(5)*(4) + 4]/5 = (20+4)/5 = 24/5.

24 and 5 have no common factors, so this fraction is already in reduced form.

4.8 = 4 8/10 = 4 4/5

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

\( \theta = 20 \)

Thus,

\( tan(\theta) = \frac{opposite}{adjacent} \)

Plug in the values

\( tan(20) = \frac{87}{a} \)

Multiply both sides by a

\( tan(20) \times a = \frac{87}{a} \times a \)

\( tan(20) \times a = 87 \)

Divide both sides by tan(20)

\( \frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)} \)

\( a = \frac{87}{tan(20)} \)

\( a = 239.03 \)

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

\( \theta = 57 \)

Thus,

\( tan(\theta) = \frac{opposite}{adjacent} \)

Plug in the values

\( tan(57) = \frac{87}{b} \)

Multiply both sides by b

\( tan(57) \times b = \frac{87}{b} \times b \)

\( tan(57) \times b = 87 \)

Divide both sides by tan(57)

\( \frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)} \)

\( b = \frac{87}{tan(57)} \)

\( b = 56.50 \)

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

The scale factor is 4/5.

In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.

The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.

Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.

To find the scale factor, we can compare the ratios of the corresponding side lengths of the congruent triangles.

Scale factor = (corresponding side length in triangle FQX) / (corresponding side length in triangle CVI)

Let's first identify the pairs of congruent angles:

Angle FQX = angle CVI (both are right angles)

Angle XQF = angle ICV (corresponding angles)

Angle FXQ = angle CVI (corresponding angles)

Now let's write the ratios of the corresponding side lengths in a proportion:

FQ / CV = QX / VI = XF / IC

Substituting the given values, we have:

28 / 35 = 36 / 45 = 24 / 30

Simplifying each fraction, we get:

4 / 5 = 4 / 5 = 4 / 5

Therefore, the scale factor is 4/5.

To know more about corresponding visit:

https://brainly.com/question/7071992

#SPJ1

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

To learn more on Parabola click:

https://brainly.com/question/29267743

#SPJ1

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

#SPJ1

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer:

a) x + 33

Step-by-step explanation:

x is the number of miles driven. Therefore, the answer for b is $333

Because it is the miles driven plus 33

Step-by-step explanation:

hope it can work for you mark me as brain liest

The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

Read more on product of numbers;

https://brainly.com/question/10873737

#SPJ1

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

More can be learned about rational functions at https://brainly.com/question/1851758

#SPJ1

Answer:

x<4

Step-by-step explanation:

1+2x<9

2x<8

x<4

Answer:

189

Step-by-step explanation:

Also can you make me brainliest please

Answer: 1 hour would be 1 foot, 2 hours would be 2 feet, 3 hours would be 3 feet, and 4 hours would be 4 feet. 1 hour would be 12 inches, 2 hours would be 24 inches 3 hours would be 36 inches, and 4 hours would be 48 inches.

Step-by-step explanation:

Answer:

b = a - 6

Step-by-step explanation:

Solve for b:

6 + b = a

6 + b - 6 = a - 6

b + 0 = a - 6

b = a - 6

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

Answer:

iM nOt In HiGh ScHoOl So I dont knowww

Step-by-step explanation:

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5500\\ P=\textit{original amount deposited}\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &10 \end{cases} \\\\\\ 5500=Pe^{0.055\cdot 10} \implies \cfrac{5500}{e^{0.055\cdot 10}}=P\implies 3173.22\approx P\)

The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

Answer:

Option D

Step-by-step explanation:

As one tile containing x represents one x .

Every - sign denotes to -1 and every plus sign denotes to +1

So

Option D is correct

Answer:

x = 13

y = -10

z = -7

Step-by-step explanation:

x+y+z=−4

2x+3y−2z=10

−x+2y−3z=−12

Add the first and the third equations to eliminate x

x+y+z=−4

−x+2y−3z=−12

--------------------

  3y -2z = -16  Equation A

Add the second and twice the third equation to eliminate x

2x+3y−2z=10

−2x+4y−6z=−24

----------------------------

     7y -8z = -14  Equation B

Take Equation A and multiply by -4

-4*(  3y -2z) = (-16)*-4

-12y + 8z = 64

Add this to Equation B

-12y + 8z = 64

 7y -8z = -14

-----------------------

-5y = 50

Divide by -5

-5y/-5 = 50/-5

y = -10

Now using equation A

  3y -2z = -16  

3*-10 -2z = -16

-30 -2z = -16

Add 30 to each side

-2z = -16+30

-2z = 14

Divide by -2

-2z/-2 = 14/-2

z = -7

Now find x using the first equation

x+y+z = -4

x -7-10 = -4

x -17 = -4

Add 17 to each side

x-17+17 = -4+17

x = 13

The value of the side y is 3√3. Option C

It is crucial to note the different types of trigonometric identities.

They are;

From the diagram shown, we have that;

The angle θ = 60 degrees

The opposite side = y

The adjacent side = 3

Let's use the tangent identity

tan 60 = y/3

Find the value

√3 = y/3

cross multiply

y = 3√3

Hence, the value is 3√3

Learn about trigonometric identity on:

https://brainly.com/question/7331447

#SPJ1

⇒In the equation  0.3p+0.75=9.67

⇒The last option is the answer

GOODLUCK!!

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

for more questions on down payment

https://brainly.com/question/1698287

#SPJ8

Answer:

dy/dx= -4x+16/y+2

Step-by-step explanation:

just cause also if you need to classify then it's ellipse (this is to find the first derative)

do you need it in standard form

Answer: 50

Step-by-step explanation:

f(250) = ?

Is asking, "What is the frequency (number of trees) that have a height of 250"

Look at the graph to see that when x = 250 (height), y = 50 (trees).

Therefore, f(250) = 50

Answer:

233 adults and 56 adults

Step-by-step explanation:

hatiin mo lang po 289

The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Area of rectangle = 0.35x0.2 = 0.07 square km

1 km = 1000 m

1 square km = 1000000 square m

Area of rectangle = 0.07x1000000 square m

Area of rectangle = 70000 square m

Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2