All categories

3 years ago

Please help with khan academy!

Mathematics

2 answers:

sergiy2304 [10]3 years ago

6 0

Answer:

Let's imagine the image of the zoo.

The diameter is basically the length of the circle.

The penguin swam the radius.

To find the radius, we need to divide the diameter by 2.

The diameter is 20 meters.

20 $\div$ 2 = 10 meters.

2 x pi x 10 = 62.83185307

62.83185307/2 = 31.41592654

Answer = 31.41592654

Cerrena [4.2K]3 years ago

3 0

Answer:

The distance through which penguin swim = 10π meters

Step-by-step explanation:

The island is given to be in a shape of circle and the distance around any circle is known as circumference.

The diameter of the island = 20 meters

So, to find the distance traveled by penguin we need to find the circumference or the circular island.

⇒ Circumference = π·diameter

⇒ Circumference = π × 20

= 20π meters

Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.

Distance traveled by penguin = 1/2 × 20π = 10π

The distance through which penguin swim = 10π meters

You might be interested in

Need help will give brianly

Katen [24]

3. No it is not on the graph.

because: y=2x+5 insert (5,6)

6=2x5 +5 is wrong

4. C

8 0

3 years ago

I need help Asap! i will be putting brainliest

andriy [413]

Answer:

I THINK ITS THE 3rd on

Step-by-step explanation:

you see the part where it says 6x8 then 6x3 and he part where it says 6x4 she didnt add the 2

4 0

2 years ago

Read 2 more answers

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

4 0

3 years ago

Math help please! Simplify: √(4 + 16 + 16√3 + 12) = 4√(2 + √3)

lozanna [386]

Both sides equal each other. Do you want to know how?

√(4 + 16 + 16√3 + 12) = 4√(2 + √3)

Surd Rule: Numbers with the same surd can be added together. Therefore, all whole integers can be added together.

√(4 + 16 + 16√3 + 12)

√((4 + 16 + 12 )+ 16√3 ) =

√(32 + 16√3)

Simplify by Factorising the common factor - 16

√(32 + 16√3) ÷ 16

√(16 (2 + √3))

Square root 16. This is because it is a not a surd because it is not in it's simplest form.

√16 = 4

√4 (2 + √3)

3 0

3 years ago

Find the area of the

erik [133]

Answer:

Option A: 2338.3 cm² is the correct answer.

Step-by-step explanation:

Given that:

The given figure is a regular hexagon.

Length of side = 30 cm

Area of a hexagon is given by;

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

Putting a=30 in the formula

Area = $\frac{3\sqrt{3}}{2}(30)^2$

Area = $\frac{3\sqrt{3}}{2}*900$

Area = $3\sqrt{3}*450$

Area = 2338.26 cm²

Rounding off to one decimal place,

Area = 2338.3 cm²

Hence,

Option A: 2338.3 cm² is the correct answer.

3 0

3 years ago

Read 2 more answers