All categories

2 years ago

Please help me! I can’t find the perimeter of this shape

Mathematics

2 answers:

I am Lyosha [343]2 years ago

8 0

Answer:

not sure but this should be it

ladessa [460]2 years ago

3 0

To work out the length of an arc, we use the following equation:

$arclength=\frac{angle}{360}\times 2\pi r$ <em>(r stands for radius)</em>

So just substitute in the values to get the arc length of the first sector:

(angle = 40, radius = 12)

$arclength=\frac{angle}{360}\times 2\pi r$

$arclength=\frac{40}{360}\times 2\pi 12$

$arclength = \frac{8}{3} \pi$

For the other sector, the angle will also be 40, since opposite angles are the same. So to get the arc length, we substitute in:

(angle = 40, radius = 5)

$arclength=\frac{angle}{360}\times 2\pi r$

$arclength=\frac{40}{360}\times 2\pi 5$

$arclength=\frac{10}{9}\pi$

______________________________________

Now to get the perimeter, we add up all of the arc lengths and side lengths:

$Perimeter =\frac{8}{3}\pi+\frac{10}{9}\pi + 12 + 12 + 5 + 5$

$Perimeter = \frac{34}{9}\pi +34$

_______________________________________

Answer:

Perimeter = $\frac{34}{9}\pi +34$ cm or 45.87cm rounded to 2 decimal places.

You might be interested in

What is the answer please?

Marina CMI [18]

Answer:

The one you are on, f(x+2)+4

Step-by-step explanation:

First, we can see by the 0 point that it is just moved up by 4 and not left or right any, so we want to see how it has changed without the +4.

in g(x) the x changes by two, 0 to 2, and the y changes by one, 4 to 5.

Hopefully you can tell what the function being manipulated is. It is x^3 so if we write that instead of f(x) in the answers the first one for instance would be (x/3)^3-4. (let me know if that doesn't make sense)

SInce we already know it's being moved up by 4, we know it's one of those with +4 at the end. It's easy enough to guess and check, but the process to find the answer is pretty easy. We also know that at 2, the change is 1. So without the +4 at the end, what would let us change 8 to 1? dividing it by 8, which is also 2^3. so that means (2/2)^3. So the answer is we want f(x/2) witht he +4 at the end.

Hopefully that made sense, I'd be happy to explain further if you need though

8 0

2 years ago

Multiplying rational numbers

Elanso [62]

Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, simply the problem, then you multiply the tops and the bottoms separately to get your answer.

7 0

2 years ago

The adult height of a male is about 1.19 times his height at age 12. The adult height of a female is about 1.07 times her height

marissa [1.9K]

If you are 12 years old, just measure your own height, then multiply your height by 1.19 if you’re a male, or 1.07 if you’re a female.

6 0

2 years ago

Read 2 more answers

I didn’t mean to post this and I can’t delete it so how are you and how’s your day and if you know how to delete things please t

olchik [2.2K]

I don’t feel like doing school and I keep getting distracted by this app

5 0

2 years ago

How do I solve polynomials

spin [16.1K]

Answer:

Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

Also they can have one or more terms, but not an infinite number of terms.

These are polynomials:

x − 2

−6y2 − ( 79)x

3xyz + 3xy2z − 0.1xz − 200y + 0.5

512v5 + 99w5

(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)

These are not polynomials

3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)

2/(x+2) is not, because dividing by a variable is not allowed

1/x is not either

√x is not, because the exponent is "½" (see fractional exponents)

But these are allowed:

x/2 is allowed, because you can divide by a constant

also 3x/8 for the same reason

√2 is allowed, because it is a constant (= 1.4142...etc)

Monomial, Binomial, Trinomial

There are special names for polynomials with 1, 2 or 3 terms:

monomial, binomial, trinomial

Variables

Polynomials can have no variable at all

Example: 21 is a polynomial. It has just one term, which is a constant.

Or one variable

Example: x4 − 2x2 + x has three terms, but only one variable (x)

Or two or more variables

Example: xy4 − 5x2z has two terms, and three variables (x, y and z)

What is Special About Polynomials?

Because of the strict definition, polynomials are easy to work with.

For example we know that:

If you add polynomials you get a polynomial

If you multiply polynomials you get a polynomial

So you can do lots of additions and multiplications, and still have a polynomial as the result.

Also, polynomials of one variable are easy to graph, as they have smooth and continuous lines.

Example: x4−2x2+x

x^4-2x^2+x

See how nice and

smooth the curve is?

You can also divide polynomials (but the result may not be a polynomial).

Degree

The degree of a polynomial with only one variable is the largest exponent of that variable.

Example:

4x3-x-3 The Degree is 3 (the largest exponent of x)

For more complicated cases, read Degree (of an Expression).

Standard Form

The Standard Form for writing a polynomial is to put the terms with the highest degree first.

Example: Put this in Standard Form: 3x2 − 7 + 4x3 + x6

The highest degree is 6, so that goes first, then 3, 2 and then the constant last:

x6 + 4x3 + 3x2 − 7

You don't have to use Standard Form, but it helps.

5 0

2 years ago