the relationship between x and y is proportional. when x is 3 and y is 15. what is x when y is 60? what is the value of x.

After addressing the issue at hand, we can state that As a result, the equation value of x is roughly 10.57 units (rounded to two decimal places).

What is equation?

An equation is a mathematical proclamation that proves the equality of two expressions capable of connecting through an equal sign '='. For instance, 2x - 5 = 13. Explanations include 2x-5 and 13. The '=' symbol links up the two expressions. A mathematical formula containing two formulas on either side of a =) (=) is known as an equation. It depicts the equivalence relationship between left and right methodologies. L.H.S. = R.H.S. (left edge = top half) in any formula.

Using the information provided, we can construct the following equation based on the concept of similar triangles:

x/(9+18) = 10/(BC) (BC)

9 + 18 = 27 = AB = AP + PB

Because triangle ABC is a right triangle (angle B is 90 degrees), we can apply the Pythagorean theorem to calculate the length of segment BC:

BC2 = AB2 - AC2 BC2 = 272 - 102 BC2 = 649 BC = sqrt (649)

When we plug this value into our original equation, we get:

x/(9+18) = 10/sqrt (649)

When we simplify, we get:

x/27 = 10/sqrt (649)

When we multiply both sides by 27, we get:

x = 270/sqrt (649)

As a result, the value of x is roughly 10.57 units (rounded to two decimal places).

To know more about equation visit:

brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

The formula for the area of a sector is

where theta is the angle given as 45 and r is the radius (7).  Plugging in we get

Simplify a bit to get

which gives you, in terms of pi:

or if you need to use the decimal form, rounded to the hundredths position:

A = 19.24

Answer:

  (n ≤ -3) ∪ (-1 ≤ n)

Step-by-step explanation:

I like to "unfold" the absolute value expression by copying the right-side expression to the left side (with the same comparison symbol) and negating its value. I do it this way because I find it easier to work the problem "all at once".

  -1 ≥ n +2 ≥ 1

Obviously, -1 ≥ 1 is not true, which means the solution to this inequality will be disjoint sections of the number line. A compound inequality of this nature is generally interpreted to mean the AND of the two inequalities. So, technically, this is an incorrect step. I choose to overlook that, and consider the expression to represent the two inequalities ...

  -1 ≥ n +2 . . . OR

  n +2 ≥ 1

Subtracting 2 from the above compound inequality gives ...

  -3 ≥ n ≥ -1

So, the solution is ...

  (n ≤ -3) ∪ (-1 ≤ n)

_____

Further explanation

The inequality symbol negates its content if that content is negative. So, the expression ...

  |n+2| ≥ 1

means ...

  ±(n +2) ≥ 1

This resolves to two cases:

  n +2 ≥ 1

and

  -(n +2) ≥ 1

The latter case is equivalent to ...

  n +2 ≤ -1

which can also be written as ...

  -1 ≥ n +2

A more technically correct solution process would identify the two cases and work them separately.

__

In the graph, the red shading (with the solid edge) shows the solution with respect to the numbers on the x-axis. If you were to graph this on a number line, you would put solid dots at -3 and -1, and shade the line to their left and right, respectively. The blue curve shows the absolute value, and the green line shows y=1, so you can see that the shaded areas correspond to the absolute value being greater than or equal to 1.

Answer:

Mr. and Mrs. Jones retirement income will be $32,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

According to the question the couples last pre-retirement earnings were $47,000. Since they plan on retiring with 70% percent of their pre-retirement earnings, this means we need to multiply their pre-earnings by 70% in decimal form.

So, the first thing we need to do is turn 70% into a decimal by moving the decimal two digits to the left.

70.0%   ⇔   0.70

Now we multiply 0.70 by $47,000 to find their retirement income.

Finally, we can see that Mr. and Mrs. Jones retirement income will be $32,000

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

Step-by-step explanation:

We are given that  two terms are

We have to find the GCF of given terms

GFC=

GCF=

Answer: