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3 years ago

1. Which transformation takes shape Sonto shape M?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Box
Too
Box
3m+
Msg ape shape

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Ezra enjoys gardening.

svlad2 [7]

Answer:

Ezra can plant 8 sunflowers

Step-by-step explanation:

0.7S + 0.5L < 11

0.7S + 0.5(10) < 11

0.7S + 5 < 11

0.7S < 6

6 ÷ 0.7 = 8.5

7 0

3 years ago

What is the next step you should take? 1 + 18n = 33

Ivahew [28]

Answer:

You need to carry the one over by subtracting 1 from 33. The new equation will be 18n = 32

3 0

3 years ago

Read 2 more answers

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

How many inches are there a in 13 feet

Andrews [41]

Answer:

156

Step-by-step explanation:

13 x 12 = 156

4 0

3 years ago

Area of 16+8×+×^2meters. What is the side length

wolverine [178]

Answer:

x +4

Step-by-step explanation:

The trinomial x² +8x +16 is a perfect square trinomial, so factors as ...

x² +8x +16 = (x +4)²

Assuming the side length is one of the factors of the given area, it will be ...

side length = (x +4)

5 0

3 years ago