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3 years ago

Please help will get branliest if right

Mathematics

2 answers:

zaharov [31]3 years ago

7 0

Answer:

Step-by-step explanation:

$\dfrac{1}{3}+\dfrac{3}{5}+\dfrac{2}{3}= \left[ \dfrac{1}{3}+\dfrac{2}{3} \right]+\dfrac{3}{5}\\\\\\=\dfrac{3}{3}+\dfrac{3}{5}\\\\\\=1+\dfrac{3}{5}\\\\\\=\dfrac{5}{5}+\dfrac{3}{5}\\\\\\=\dfrac{8}{5}\\\\\\=1\dfrac{3}{5}$

juin [17]3 years ago

3 0

Answer:

its B

Step-by-step explanation:

it just is

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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

3 years ago

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D

natima [27]

Answer:

$110

Step-by-step explanation:

The computation is shown below:

Provided that

Number of desk purchased Fund Left $

0 700

1 590

2 480

3 370

4 260

5 150

6 40

Now the Fund decreased while purchasing is

= 5 desks - 2 desks

= 3 desks

i.e

= $480 - $150

= $330

Now the amount of money left for decreased the desk fund is

$= \frac{Fund\ decreased }{number\ of\ desk\ decreased}$

$= \frac{\$330}{3\ desk}$

= $110

3 0

3 years ago

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Together a puppy and kitten weigh 15 ounces. Write an equation to represent the combined

ruslelena [56]

Answer:

The answer is 15 - p = k

5 0

3 years ago

What is the least perimeter of a rectangle with an area of 39 square feet

Gnoma [55]

The possible side length combinations would be 1 and 39 or 3 and 13.

1 and 39: the perimeter of these two would be 80.

3 and 13: the perimeter of these two would be 32.

The answer is 32.

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3 years ago

A triangle has the side lengths of 12 cm, 15 cm, and 20 cm. Classify it as acute, obtuse, or right.

umka21 [38]

Answer:

Obtuse

Step-by-step explanation:

Plugging the numbers into the Pythagorean Theorem (a^2 + b^2 = c ^2)

20^2 = 12^2 + 15^2

400 > 144 + 225

400 > 369

Because of the Converse of the Pythagorean Theorem, which tells us if c is greater than a+b, it is obtuse

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3 years ago