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3 years ago

Find the area of regular polygon

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

a = 4

$Area= \frac{3\sqrt{3} }{2} \cdot a^2$

$= \frac{3\sqrt{3} * 16 }{2} = 41.57 square \ units$

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Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

3 0

4 years ago

What the lateral and surface area of this figure

tamaranim1 [39]

Answer:

Lateral Surface Area = 314^2 inch = 314.86 square inch

To find Lateral Area

First we square two of the sides of the top to find the hypotenuse which is also the height of the side triangles.

Here we take 5^2 6^2 = 25 +36 = 61

as a decimal √61 ≈ 7.8102

7.8102 x 5 = 39.051 is the Surface area of the top of the shape we will call this p.

Therefore Surface area =, b x h + p x l = 30 x 3 =90 + (40.81 x 6)

=224.86 +90 = 314.86^2 inch = Lateral SA

p= b+h+c = 5 x 6 =30 + 3 + 7.81 = 40.81sq2

Step-by-step explanation:

6 x 5 =35 x 2 = 70

3 x 5 =15 x 2 = 30

6 x 3 = 18 x 2 = 36

Area only if base and top was the same = +136cm^2

This area is invalid. So it is really important to learn hypotenuse.

Volume is much easier and can guide you for reverse workings more for same sides. The shape above has not got the same sides. There is no surface area only lateral area at top.

V= 45^3inch = 45 cube inch

Just like a rectangle box but half its size as all opposite sides are the same. and the top and base can create a square by using the sides.

To do ths we half the end area.

6 x 3 x 5 = 18 x 5 = 90 sq3

half of this is 45 cube inch volume.

3 0

3 years ago

Find the surface area of the prism. Enter your answer in the box.<br> 12 m<br> 3 m<br> 6 m

yarga [219]

Answer:

Step-by-step explanation:Answer:

l = 3 m

w = 6 m

h = 12 m

d = 13.7477 m

S = 252 m2

V = 216 m3

5 0

3 years ago

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What is the slope and y intercept of the points (4,8) and (20,24)

marissa [1.9K]

The slope is 1 and the y intercept is 0

8 0

3 years ago

The simplest form of 4√576 is ?

N76 [4]

Answer:

96 or √144

Step-by-step explanation:

Divide 576 by 4 to get 144. There will be no values outside of the square root sign because 4 goes directly into 576 with no remainders.

8 0

3 years ago

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