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2 years ago

Triangles ADE and ABC are similar. What is the value of

Mathematics

1 answer:

musickatia [10]2 years ago

4 0

Answer:

x=4

Step-by-step explanation:

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What is 24/16 in simplest form?

-Dominant- [34]

Well you can divide by 8 and it gives you 3/2or you can divide by 4 and get 6/4 then divide by 2 and get 3/2 either way there both correct

6 0

3 years ago

Find b: If a = 9 and c = 15<br> С<br> a<br> b

pogonyaev

Answer:

b=12

Step-by-step explanation:

a^2+b^2=c^2

(9×9) + b^2= 15×15

81+ b^2= 225

-81. -81

b^2=144

√. √

b= 12

3 0

3 years ago

Read 2 more answers

This is what I got,

USPshnik [31]

1/x + 1/y = 8
x + y = 8
6/x + 12/y = 72n

4 0

3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

What is the slope of the line that passes through the points

Oksana_A [137]

The slope is ∞ , line is a vertical line parallel to y axis.

<h3>What is a Straight Line Function ?</h3>

A straight line function is a function that can be represented by y = mx +c , where m is the slope of the line and c is the intercept on the y axis.

There are two points given for a line ,

The slope is represented by

$\rm m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\m = \dfrac{31-6}{1-1}$

m = ∞

which means the line is a vertical line parallel to y axis.

To know more about Straight Line Function

brainly.com/question/21145944

#SPJ1

4 0

1 year ago