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1 year ago

In this polygon, all angles are right angles.

Mathematics

1 answer:

krek1111 [17]1 year ago

5 0

The area of the given polygon is 1830 cm².

<h3>What is a polygon?</h3>

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

We know the area of a square is (side)² and the area of a rectangle is (length×width).

From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,

= (46×46) cm² - (16×21) cm².

= (2166 - 336) cm².

= 1830 cm².

learn more about polygons here :

brainly.com/question/24464711

#SPJ1

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Option 2. $x = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}$ shows the correct way to use the quadratic formula to solve the given equation.

Step-by-step explanation:

Step 1:

For an equation of the form $ax^{2} +bx+c=0$ the solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Here a is the coefficient of $x^{2}$ , b is the coefficient of x and c is the constant term.

$x^{2} -4x=21$ can also be written as $x^{2} -4x-21=0.$

Comparing $x^{2} -4x-21=0$ with $ax^{2} +bx+c=0$ , we get that a is 1, b is -4 and c is -21.

To get the solution, we substitute the values of a, b, and c in $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Step 2:

Substituting the values, we get

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}= \frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.$

$\frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)} = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.$

This is option 2.

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4 years ago

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RideAnS [48]

Answer:

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Step-by-step explanation:

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66% of the formerly unknown number comes out to 24.

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kotegsom [21]

Answer:

We conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.

Hence, option A is true.

Step-by-step explanation:

Given that the tickets to a concert went on sale at 10 a.m. by 12 p.m.

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