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3 years ago

What is the distance between point (7,9) and point (-2,7)

Mathematics

1 answer:

skad [1K]3 years ago

3 0

Answer:

9.21954445729

Step-by-step explanation:

use distance formula

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The area of the regular hexagon is 169.74 ft2 what is the perimeter, rounded to the nearest tenth

Bess [88]

Answer:

Perimeter of given regular hexagon is 48.5 ft.

Step-by-step explanation:

Let ABCDEF be the regular hexagon as shown in the attached figure.

O be the intersection point of the diagonals EB, FC and AD.

As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.

In other words,

$\triangle EOD, \triangle DOC, \triangle BOC, \triangle AOB, \triangle AOF , \triangle FOE$ are equilateral $\triangle s$ .

Area of an equilateral $\triangle$ is defined as :

$\dfrac{\sqrt{3}}{4} \times a^{2}$

Where a is the side of $\triangle$ .

Area of hexagon = $6 \times \dfrac{\sqrt{3}}{4}\times a^{2}$

We are given that area of hexagon = 169.74 $ft^{2}$

Let s be the side of hexagon.

$\Rightarrow 6 \times \dfrac{\sqrt{3}}{4}s^{2} = 169.74 ft^{2}\\\Rightarrow s = 8.08 ft$

A regular Hexagon is made up of 6 equal sides, so

Perimeter of a regular hexagon = $6 \times side$

Perimeter = $6 \times 8.08$

$\Rightarrow 48.5 ft$

So, perimeter of given regular hexagon is $48.5 ft$ .

6 0

3 years ago

What is the value of n?

algol [13]

Answer:

Step-by-step explanation:

5 0

3 years ago

Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse =

Gnoma [55]

Answer:

The correct answer is D. 12√2, 12√2, 24.

Step-by-step explanation:

Let's recall that a property of the right triangles 45 - 45 - 90 is that the lengths of the sides of this type of triangles are in the ratio 1 : 1: √2.

Thus, if the hypotenuse is 24 units, the length of the legs is 12√2. We calculated it this way:

24/√2 = x/1

x√2 = 24

x = 24/√2

x = (24 * √2) / (√2 * √2) (For not having a square root in the denominator)

x = 24√2/2

x = 12√2 (Most simplified expression)

The correct answer is D. 12√2, 12√2, 24.

5 0

3 years ago

During a school visiting day,a mother visited her daughter.She carried a bag containing 12 oranges,16 apples, and 8 mangoes,all

kondaur [170]

3 oranges because the mother wouldn’t draw mangoes- because it would be too hard. And she wouldn’t get an apple

6 0

4 years ago

Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7

marusya05 [52]

Answer:

mode is 7, mean, 6.3 repeating, median 7

Step-by-step explanation:

4 0

3 years ago