All categories

2 years ago

This figure is a square, with side lengths as shown.

Mathematics

1 answer:

Olin [163]2 years ago

4 0

The perimeter and area of the square are 16√5 mm and 80 mm²

<h3 /><h3>How to find perimeter and area of a square?</h3>

Perimeter of a square = 4L

where

l = length

Therefore,

Perimeter of a square = 4 × 4√5

Perimeter of a square = 16√5 mm

Area of a square = l²

Area of a square = (4√5)²

Area of a square = 16 × 5

Area of a square = 80 mm²

learn more on square here: brainly.com/question/14090908

#SPJ1

You might be interested in

ITS URGENT PLEASE HELP ME

Iteru [2.4K]

I think that it is D or A

3 0

2 years ago

(14-3x)2 simplified using the distributive property.

ivolga24 [154]

Answer: 28-6x

This is the same as -6x+28

===============================

To get that answer, you multiply each term inside the parenthesis by the outer term 2

14 * 2 = 28

-3x * 2 = -6x

So,

(14-3x)*2 = 14*2 - 3x*2 = 28-6x

----------

The distribution rule says

a(b-c) = ab-ac

which is the same as saying

(b-c)a = ba-ca

We can flip things around because we can multiply in any order.

6 0

4 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

Round 72 to the neareat ten? what's the answer>

Mumz [18]

70? Is this a trick question?

7 0

1 year ago

Read 2 more answers

6x-5 = -6(x+2)<br><br> I keep getting an incorrect fraction answer please help

eimsori [14]

Answer:

x = -7/12 or -0.583.. repeating.

Step-by-step explanation:

6x-5= -6(x+2)

___________ (distributive property)

(to group like terms)

6x-5 = -6x-12

___________ (addition poe) (add 6x on both sides to cancel -6 out)

+6x +6x

___________

12x-5 = -12

__________

+5 +5 (addition poe) (add 5 to both sides to cancel -5 out)

__________

12x = -7

__________

÷12 ÷12 (division poe) (divide both sides by 12 to get x)

x = -7/12

6 0

3 years ago